Abstract
We propose a reformulation of Newton’s second law of motion for charged particles and possible applications of the reformulation to quantum dynamics. We show that the negative energy states arising from the Dirac equation in relativistic quantum mechanics can be verified using the reformulating framework. We also discuss possible hidden dynamics underlying the concept of quantum jumps in quantum mechanics as outlined in Schrödinger’s article: ARE THERE QUANTUM JUMPS? In this case, we show that the hidden dynamics of quantum jumps are also determined by the Coulomb interaction between charged particles.
Highlights
The development of physical theories has been based mainly on the results of experimental measurements of physical processes, and the experimental results themselves depend on the quality of the instruments that are available at the time and on the concepts and perceptions of physical objects
We discuss possible hidden dynamics underlying the concept of quantum jumps in quantum mechanics as outlined in Schrödinger’s article: ARE THERE QUANTUM JUMPS? In this case, we show that the hidden dynamics of quantum jumps are determined by the Coulomb interaction between charged particles
At the time when Newton formulated the classical dynamics, scientists were mainly studying the dynamics of macroscopic objects related to their weight, it was reasonable for those scientists to suggest the physical object that plays the fundamental role in dynamical equations of motion is the inertial mass
Summary
The development of physical theories has been based mainly on the results of experimental measurements of physical processes, and the experimental results themselves depend on the quality of the instruments that are available at the time and on the concepts and perceptions of physical objects. A distinct problem associated with Dirac equation is the existence of negative energy states that should not exist according to the definition of kinetic energy within the current formulation of classical dynamics based on Newton’s second law of motion This is one of the main topics discussed in this work that led to the need to reformulate Newton’s second law so that a new definition of kinetic energy would allow assigning both positive and negative values to it. I confess to the heretical view that their modern counterpart in physical theory are the quantum jumps” [3] It is clear from such view of the founder of wave mechanics that we would need a radical change in the classical formulation of physics that would allow a description of quantum jumps in terms of classical dynamics. A hidden dynamics underlying the quantum jumps should be determined by interactions between physical objects associated with elementary particles
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