One-dimensional Barrier Potential Research Articles

Scattering as a Quantum Metrology Problem: A Quantum Walk Approach.

We address the scattering of a quantum particle by a one-dimensional barrier potential over a set of discrete positions. We formalize the problem as a continuous-time quantum walk on a lattice with an impurity and use the quantum Fisher information as a means to quantify the maximal possible accuracy in the estimation of the height of the barrier. We introduce suitable initial states of the walker and derive the reflection and transmission probabilities of the scattered state. We show that while the quantum Fisher information is affected by the width and central momentum of the initial wave packet, this dependency is weaker for the quantum signal-to-noise ratio. We also show that a dichotomic position measurement provides a nearly optimal detection scheme.

Solusi Persamaan Dirac untuk Fermion dengan Model Potensial Penghalang Medan Elektromagnetik

The solution of the Dirac equation in the presence of the electromagnetic field on the one-dimensional barrier potential is studied. The energy spectrum and the eigenfunction of the Dirac equation obtained by solving the Dirac equation and we introduced annihilation and creation operators for the Hamiltonian has an identical form in the harmonic oscillator. Regions I and III separated by a potential barrier characterized by the gap energy with the eigenfunctions as a sinusoidal function, and region II has the form of an exponent function. We found the eigenfunction involved positive and negative energy moves exponentially when passed through a barrier.

PRESCOLD: Calculation of the half-life for alpha decay, cluster radioactivity and cold fission processes

A numerical code to evaluate the half-lives for alpha decay, cluster radioactivity and cold fission processes for a given parent nucleus is presented. The Gamow penetrability factor is obtained by considering the pre-scission phase of two intersecting spheres in the effective one-dimensional barrier potential. Two inertia coefficients and two different modes for the shape parametrization are implemented in order to discuss the effect of the inertia coefficient on the half-lives of the spontaneous processes under study.