Double-slit Research Articles

The Schrödinger equation and the two-slit experiment of quantum mechanics

The one-dimensional time-dependent complex-valued Schrödinger equation is used to describe the interference diffraction patterns of two-slit experiments in quantum mechanics. The properties of the diffraction patterns are related to the initial data of the Schrödinger equation. The Schrödinger equation solutions are compared to Fraunhofer diffraction formulas in geometric optics, and to the solutions of nonlocal advection diffusion equations.

Young’s double-slit experiment with undulator vortex radiation in the photon-counting regime

Young’s double-slit interference experiments with undulator vortex radiation were conducted, focusing on photon-counting regime. To isolate the second harmonic radiation in the ultraviolet range emitted from the helical undulator and achieve successful counting measurements, an ultranarrow bandpass filter was utilized under an extremely low-current mode of the electron storage ring. It was observed that the photon spots on the detector, after passing through the double slits, appeared to be randomly distributed. However, upon integrating these photon spots, it was confirmed that interference fringes with characteristic features of optical vortices, such as dark and broken/distorted stripes in the center, were formed. The reproducibility of these interference fringes was confirmed by calculating the optical path difference for the optical vortex reaching the double slits, as well as the optical path difference resulting from normal double-slit interference. Consequently, these findings indicate that even in the state of a single photon, the radiation emitted spontaneously by a high-energy electron in spiral motion possesses the nature of an optical vortex, characterized by a spiral wavefront.

Numerical study on the reinitiation mechanism of detonation propagating through double slits in a planar channel

In this study, numerical simulations were performed to investigate the reinitiation of diffracted detonation waves through a double-slit-plate. A planar detonation wave was set to propagate through a channel of a height of 50 mm filled with the stoichiometric mixture of hydrogen and oxygen at 20 kPa. Several slit-plates with different slit widths and slit spacing were considered to explore the effects of slit geometry on reinitiation and its underlying mechanisms. For this, two-dimensional multi-species reactive Navier–Stokes equations were solved using a finite volume solver. The results revealed that upon diffraction, the detonation waves become decoupled and subsequently exhibit one of three distinct phenomena depending on the specific slit geometry. These phenomena include reinitiation by shock–shock interaction (RSSI), reinitiation by shock-wall interaction (RSWI), and complete suppression. It was found that a residual transverse wave is crucial in generating a detonation kernel. In cases where this residual transverse wave is absent, the detonation kernel fails to develop. As a result, only complete suppression of the detonation wave was observed. The narrow slit widths effectively suppress residual transverse waves through the steep expansion that occurs as the detonation front passes through the slit. Moreover, larger slit spacing resulted in further expansion of the shock front before the collision, due to the increased time delay for the shock waves to intersect. As a result, it was found that a larger slit spacing is unfavorable for the formation of a detonation kernel. Yet, in this regard, it is important to note that the onset of RSSI was not guaranteed even with a detonation kernel. Rather, the onset of RSSI was highly dependent on the curvature of the main detonation trajectory. RSSI was inhibited in cases where the forward propagating detonation wave experienced significant expansion due to the large curvature of the main detonation wave trajectory. Smaller slit spacing was found to be particularly unfavorable for RSSI as they exhibit more divergent curves. Overall, this study illustrates that the reinitiation mechanisms of detonation show two different pathways in the transition to detonation from decoupled shock waves and reaction fronts upon diffraction propagating through double slit configurations, and enhances understanding of RSSI by providing insights into the complex interplay between slit geometry, detonation kernel formation, and curvature of detonation wave based on highly-resolved numerical simulations using detailed chemistry. The findings from this study have implications towards the design and optimization of systems involving detonation propagation and suppression.Novelty and significanceThis study focuses on the reinitiation mechanism of detonation propagating through double slits in a planar channel. Specifically, this numerical study aims to understand the critical behaviors that occur when the slit width and the cell width of the detonation are comparable, based on the previously reported experiment. Reinitiation by shock–shock interaction which had previously been limited in understanding was explained in detail and the effects of slit geometry were examined. It is worth noting that there is a lack of in-depth explanations in the literature regarding the double slit configuration with various dimensions of slit-plates. Moreover, this investigation deals with smaller scales of slit width compared to the well-known critical length scale of a planar channel which is about ten times of cell width. As a result, the findings of this study offer further insights for optimizing the design of detonation arrestors.

Optimization of measurement in self-aligned liquid crystal optical control devices with two-slit Young’s experiment

We have investigated an interference experiment of the two-slit Young experiment using an improved self-alignment (SA) liquid crystal optical control device structure. The newly developed SA process and optimization of slit structure and slit width were redesigned to micron size in order to make the interference pattern clear. As a result, we observed a clear NOT logic operation where the center peak intensity of the incident light is inverted.

Enhancing secrecy using hybrid elliptic curve cryptography and Diffie Hellman key exchange approach and Young's double slit experiment optimizer based optimized cross layer in multihop wireless network

Wireless Network is usually a non-infrastructure multi-hop network, in which the communication between the nodes are carried implicitly or explicitly with the help of intermediate nodes. The two primary considerations when creating a wireless network are energy efficiency and secrecy, which are currently hot topics in study. Power-related issues make the conventional tiered approach ineffective. We suggest a novel solution to address those problems: the Young's double slit experiment optimizer (YDEO) based optimized cross layer routing protocol. This method computes parameters like data success rate, average energy loads, and traffic indices to determine consistency and energy efficacious routing paths. The secrecy of the network can be enhanced with the proposed innovative approach known as Hybrid Elliptic Curve Cryptography and Diffie Hellman Key Exchange (HECC-DH). This greatly enhances data integrity and security by offering dual authentications with key exchange techniques. In addition to this HECC-DH, bilinear maps are used for secure communication. To verify the effectiveness of the suggested work, experiments are performed with the NS2 simulator and contrasted with state-of-the-art works. When it comes to communication, our method performs better than the others and with greater satisfaction.

Predicting dissolved oxygen level using Young's double-slit experiment optimizer-based weighting model

Accurate prediction of the dissolved oxygen level (DOL) is important for enhancing environmental conditions and facilitating water resource management. However, the irregularity and volatility inherent in DOL pose significant challenges to achieving precise forecasts. A single model usually suffers from low prediction accuracy, narrow application range, and difficult data acquisition. This study proposes a new weighted model that avoids these problems, which could increase the prediction accuracy of the DOL. The weighting constructs of the proposed model (PWM) included eight neural networks and one statistical method and utilized Young's double-slit experimental optimizer as an intelligent weighting tool. To evaluate the effectiveness of PWM, simulations were conducted using real-world data acquired from the Tualatin River Basin in Oregon, United States. Empirical findings unequivocally demonstrated that PWM outperforms both the statistical model and the individual machine learning models, and has the lowest mean absolute percentage error among all the weighted models. Based on two real datasets, the PWM can averagely obtain the mean absolute percentage errors of 1.0216%, 1.4630%, and 1.7087% for one-, two-, and three-step predictions, respectively. This study shows that the PWM can effectively integrate the distinctive merits of deep learning methods, neural networks, and statistical models, thereby increasing forecasting accuracy and providing indispensable technical support for the sustainable development of regional water environments.

Young’s Single- and Double-Slit Experiments in Terms of the Feynman Amplitudes, Green’s Functions, and Photon Coordinate Wave Functions

Young’s Single- and Double-Slit Experiments in Terms of the Feynman Amplitudes, Green’s Functions, and Photon Coordinate Wave Functions

Study on the Diffraction-like and Interference-like Mechanisms of Particle Flow

This paper demonstrates that the light and dark fringe in Young's double-slit experiment is not actually the diffraction and interference pattern of light wave. We investigate the scattering phenomenon after the particle flow passes through the gaps and find that the scattering type and scattering degrees of freedom of the particle flow depend on the physical parameters of the particles and the gaps. When the particle flow undergoes uniform scattering, a uniform "yes" and "no" interspersed discrete distribution pattern will form on the receiving screen. Based on the diffraction-like and interference-like mechanism of particle flow, this paper explains the electron diffraction and interference experiment, as well as the Young's double-slit interference experiment and the diffraction of light through circular holes and plates. This article provides an in-depth discussion on Einstein's concept of wave particle duality and de Broglie's matter wave hypothesis, as well as an analysis of Feynman's experimental idea of electron double slit interference. Our research shows that the matter wave hypothesis is not valid, which has shaken the foundation of modern quantum mechanics and has significant scientific significance. In addition, this study has important application value for the development of technology for detecting and analyzing particles or gaps.

Adaptive Dynamics Simulation of Interference Phenomenon for Physical and Biological Systems.

Biological systems have been shown to have quantum-like behaviors by applying the adaptive dynamics view on their interaction networks. In particular, in the process of lactose-glucose metabolism, cells generate probabilistic interference patterns similarly to photons in the two-slit experiment. Such quantum-like interference patterns can be found in biological data, on all scales, from proteins to cognitive, ecological, and social systems. The adaptive dynamics approach covers both biological and physical phenomena, including the ones which are typically associated with quantum physics. We guess that the adaptive dynamics can be used for the clarification of quantum foundations, and the present paper is the first step in this direction. We suggest the use of an algorithm for the numerical simulation of the behavior of a billiard ball-like particle passing through two slits by explicitly considering the influence of the two-slit environment (experimental context). Our simulation successfully mimics the interference pattern obtained experimentally in quantum physics. The interference of photons or electrons by two slits is known as a typical quantum mechanical effect. We do not claim that the adaptive dynamics can reproduce the whole body of quantum mechanics, but we hope that this numerical simulation example will stimulate further extensive studies in this direction-the representation of quantum physical phenomena in an adaptive dynamical framework.

Concerning the direction of the Aharonov–Bohm deflection

The interaction of a solenoid with a passing charged particle can be treated within classical or quantum physics. If charged particles pass around both sides of a solenoid, there is an experimentally-observed Aharonov–Bohm deflection of the double-slit particle interference pattern between charges passing on opposite sides. Such a deflection can be obtained by a classical force calculation. Although the magnitude of the angular deflection agrees between the classical force calculation and the quantum topological theory, the direction of the predicted deflection is opposite. Here we point out the simple basis for the direction of the deflection based upon classical electrodynamics and based upon quantum theory. Also, we mention some deflection analogs, both the electrostatic deflection of the particle interference pattern and the optical analog of the classical calculation. The deflection direction involves an experimental question which is addressed rarely if ever. In the deflection direction, there is a direct experimental confrontation connected with the long-standing controversy involving the interpretation of the Aharonov–Bohm phase shift.

Simulation of wave propagation with obstacles: Time invariance operator applied to interference and diffraction

We present here a computational numerical operator, and we name it as Time Invariance Operator (TIO). This operator can add obstacles to the domain of the differential equation that describes a physical phenomenon. After the TIO acts, the wave equation recognizes the introduced points as non-interacting zones without affecting the rest of the domain. Computational physics has been consolidated as an important field of study, especially when connected with the fundamentals of physics. In many cases, simulations are conducted considering the ideal case of a wave in an infinite domain and open space without considering obstacles, barriers, or other aspects of the real world. The results presented in this paper allow us to infer that the TIO is the easiest way to apply the physical domain to wave propagation simulations and successfully recreate wave interaction experiments through computer simulations. Our motivation is to perform wave simulations that interact with obstacles, barriers, single slits, and double slits. We aim to investigate the results obtained in images to determine if the methodology we used to introduce realistic physical characteristics was successful in presenting the expected phenomenology. The simplicity of the TIO’s action in creating locally time-invariant regions over the domain makes it suitable not only for waves but also for equations with transient terms. Heat transfer, mass transfer, computational fluid dynamics, and other time evolution equations can take some benefit from the operator presented in this paper. The TIO ensures local conservation that mimics interaction regions or ensures free space characteristics if it is the case like a 2D tensor of local conservation. The principal result from this paper is the validation of the TIO to impose realistic conditions with minimal modifications over a running code of wave equation simulation originally in free space. The TIO is innovative because it imposes dynamic conditions that mimic realistic interacting zones.

Spin vector potential and spin Aharonov-Bohm effect

The Aharonov-Bohm (AB) effect is an important discovery of quantum theory. It serves as a surprising quantum phenomenon in which an electrically charged particle can be affected by an electromagnetic potential, despite being confined to a region in which both the magnetic field and electric field are zero. This fact gives the electromagnetic potentials greater significance in quantum physics than in classical physics. The original AB effect belongs to an “electromagnetic type”. A certain vector potential is crucial for building a certain type of AB effect. In this work, we focus on the “spin”, which is an intrinsic property of microscopic particles that has been widely accepted nowadays. First, we propose the hypothesis of spin vector potential by considering a particle with a spin operator. Second, to verify the existence of such a spin vector potential, we present a gedanken double-slit interference experiment (i.e., the spin AB effect), which is possible to be observed in the lab. Third, we apply the spin vector potential to naturally explain why there were the Dzyaloshinsky-Moriya-type interaction and the dipole-dipole interaction between spins, and also predict a new type of spin-orbital interaction.

«СУБ’ЄКТИВНЕ» ТА «ОБ’ЄКТИВНЕ» ЯК МЕТОДОЛОГІЧНА ПРОБЛЕМА

Today, many concepts from the dictionaries of academic psychology have entered the language of everyday communication. Perhaps the most common are the concepts of «subjective» and «objective». In many textbooks of psychology, «objective» is understood as something that belongs to the object itself, something that does not depend on the subject. The objective is opposed to the subjective-personal. Experimental research in the field of quantum physics questioned the division of the world into an impartial «objective reality» and its «subjective» (not impartial, biased) reflection, which provoked a crisis in this field of knowledge and the methodology of science as a whole. The main methodological problems of psychology are the question of the place of the mental in nature; on the relationship of mental and material phenomena, on the possibilities of human cognition - questions that also arose in the depths of quantum physics and were predetermined by the internal logic of their development. An excursion into quantum physics was necessary, firstly, for a deep understanding that reality is given to us in our sensations, perceptions, ideas and mental constructs (this was evidenced by the so-called «double slit experiment» and its interpretations) and we cannot say anything about reality as it is «in itself»; secondly, the realization that the foundations on which our knowledge is built differ from those in quantum physics. Currently, there is a dichotomy between material (physical) and conceptual reality. Thus, the principle of locality, which professes ordinary consciousness and according to which specific objects occupy a specific place in time and space, contradicts the principle of non-locality, according to which isolated systems do not exist at all and every particle of the universe is in «instantaneous» communication with all other particles. The world is created from the same quantum substance and it is impossible to say that one is the cause of the other. (This statement implies, in particular, a rethinking of the «principle of determinism» which requires the establishment of unambiguous causal relationships). The reality in which we live is not quantum, our language and stereotypes of thinking do not correspond to the nature of the phenomena described by quantum physics. It is about the deep properties of matter. Personally, I got the impression that the deeper you plunge into the world of atomic and subatomic, the more the outlines of the specific, material world familiar to us become blurred and the thinner the line between the physical and conceptual world, between the material and the spiritual becomes. The purpose of this article is to define the concepts of "objective" and "subjective" based on the analysis of achievements in quantum physics in the context of psychology.

Young’s double slit interference with vortex source

The fast and convenient demultiplex of optical vortex (OV) mode is crucial for its further application. We propose a novel approach that combines classic Young’s doublet with an OV source to effectively identify the OV mode through the analysis of interference patterns. The interference patterns of the OV source incident on the double slits can be perfectly illustrated by using both the classical double-slit interference method and the Huygens–Fresnel principle. The interference fringes will twist along the negative or positive direction of x axis when topological charge (TC) l > 0 or l < 0, and the degree of the movement varies with the TC, allowing for a quantitative display of the OV characteristics through the interference patterns. Additionally, we deduce analytically that the zeroth-order interference fringe has a linear relationship with the TC and the vertical position. These findings highlight the ability to identify the OV mode by analyzing the interference patterns produced by Young’s doublet.

A low cost ripple tank experiment with 3D printed components and an Arduino control unit

In this article we present a ripple tank with 3D printed components including a control unit with Arduino microcontroller that can be inexpensively replicated. With the presented setup, experiments such as Huygens’ principle, diffraction, and the double-slit experiment according to Young are possible. Due to the simple operability and the comparatively low price, the experiments can be carried out easily and quickly by the learners themselves.

Delta interferometer: A polarization sensitive interferometer

Abstract A new type of polarization sensitive interferometer is proposed, which is named as Delta interferometer due to the geometry of the simplest interferometer of this type looks like Greek letter, Delta. The main difference between Delta interferometer and other existed interferometer, such as Michelson interferometer, Mach-Zehnder interferometer, Young’s double-slit interferometer, is that the two interfering paths are asymmetrical in Delta interferometer. The visibility of the first-order interference pattern observed in Delta interferometer is dependent on the polarization of the incidental light. Optical coherence theory is employed to interpret the phenomenon and single-mode continuous-wave laser light is employed to verify the theoretical predictions. The theoretical and experimental results are consistent. Delta interferometer provides a perfect tool to study the reflection of electromagnetic field in different polarizations and may find applications in polarization sensitive scenarios.

Philosophical strategies for nature of science based on worldviews: The quantum interference of single electron

This study aims to present a strategy to transform the worldviews of students, especially college science classrooms, into desirable current worldviews (Darwin, Quantum mechanics, Einstein, refer to Fig 1). Above all, the worldviews, that is metaphysical belief, needs to be changed. This is because metaphysical belief is the basis for the whole framework of conception. Since the previous study emphasized epistemological belief only, an emphasis was placed on metaphysical belief on which epistemological belief is based. Therefore, the two beliefs should be used to elucidate in the education of Nature of Science. Metaphysical belief in the science of cosmic order, symmetry, or disorder is often important in scientific research and can lead to an epistemological view that can select or reject a certain kind of explanation. Specially, the two-slit experiment with single electrons is a radical illustration of another paradigm shift, from classical (mechanistic materialism) to quantum physics (desirable dialectical materialism). The double slit electron experiment creates sensuous images that can be grasped at once. Because quantum mechanics is inherently abstract, it is difficult to accept its meaning.

Structuring the local handedness of synthetic chiral light: global chirality versus polarization of chirality

Synthetic chiral light enables ultrafast and highly efficient imaging of molecular chirality. Unlike standard circularly polarized light, the handedness of synthetic chiral light does not rely on the spatial structure of the light field: it is encoded locally, in the chiral trajectory that the tip of the electric-field vector draws in time, at each point in space. Synthetic chiral light that is both locally and globally chiral (Ayuso et al 2019 Nat. Photon. 13 866) allows us to selectively quench the nonlinear response of a selected molecular enantiomer while maximizing it in its mirror twin at the level of total signal intensities. Synthetic chiral light that exhibits polarization of chirality (Ayuso et al 2021 Nat. Commun. 12 3951) allows us to realize a chiral version of Young’s double-slit experiment that leads to enantio-sensitive light bending. Here we connect these new concepts, and show how one can structure the local and global handedness of synthetic chiral light in space to create optical fields which can be both globally chiral and chirality polarized. Using state-of-the-art computational modeling, we show how these local and global properties are imprinted in the enantio-sensitive response of chiral molecules, creating exciting opportunities for ultrafast, all-optical and highly efficient imaging of molecular chirality.

Wave-field interpretation of quantum mechanics

In this paper, we address a gap in the conventional interpretations of quantum mechanics, specifically the requirement for a more comprehensive description of particle and light phenomena. We introduce an alternative interpretation underpinned by the traditional mathematical framework of quantum mechanics, thus ensuring compatibility with established principles. Central to our proposition is the concept that particles and light fundamentally manifest as a ubiquitous wave field, each point of which is imbued with unique energy characteristics. This perspective provides a consistent resolution to the long-standing quantum measurement problem and offers a fresh lens through which to understand the intricacies of phenomena such as the double-slit experiment. Our proposed interpretational approach represents a crucial first step towards more comprehensive research, aiming to provide analytical proof and design experiments that verify this wave field interpretation.

Quantum Beam Scattering—Beam’s Coherence Length, Which-Path Information and Weak Values

The conventional theory of neutron beams interacting with many-body systems treats the beam as a classical system, i.e., with its dynamical variables appearing in the quantum dynamics of the scattering process not as operators but only as c-numbers. Moreover, neutrons are described with plane waves, i.e., the concept of a neutron’s (finite) coherence length is here irrelevant. The same holds for electron, atom or X-ray scattering. This simplification results in the full decoupling of the probe particle’s dynamics from the quantum dynamics of the scatterer—a well-known fact also reflected in the standard formalism of time-correlation functions (see textbooks). Making contact with modern quantum-theoretical approaches (e.g., quantum entanglement, “which-path information” versus interference, von Neumann measurement, Weak Values (WV), etc.), new observable effects of non-relativistic quantum beam scattering may be exposed and/or predicted, for instance, a momentum-transfer deficit and an intensity deficit in neutron scattering from protons of hydrogen-containing samples. A new WV-theoretical treatment is provided, which explains both these “deficit effects” from first principles and on equal footing.