Quantum confinement in an asymmetric double‐well potential through energy analysis and information entropic measure

N Mukherjee, AK Roy - Annalen der Physik, 2016 - Wiley Online Library
Localization of a particle in the wells of an asymmetric double‐well (DW) potential is
investigated here. Information entropy‐based uncertainty measures, such as Shannon …

Information entropy as a measure of tunneling and quantum confinement in a symmetric double‐well potential

N Mukherjee, A Roy, AK Roy - Annalen der Physik, 2015 - Wiley Online Library
Information entropic measures such as Fisher information, Shannon entropy, Onicescu
energy and Onicescu Shannon entropy of a symmetric double‐well potential are calculated …

Self-similar interpolation in quantum mechanics

VI Yukalov, EP Yukalova, S Gluzman - Physical Review A, 1998 - APS
An approach is developed for constructing simple analytical formulas accurately
approximating solutions to eigenvalue problems of quantum mechanics. This approach is …

Asymptotic properties of eigenvalues in variational calculations for double-well oscillators

VI Yukalov, EP Yukalova - Journal of Physics A: Mathematical …, 1996 - iopscience.iop.org
Simple and accurate formulae for the eigenvalues of the Hamiltonian with an anharmonic
double-well potential are presented. Special attention is paid to the following three regions …

Accurate energy spectrum for double-well potential: periodic basis

P Pedram, M Mirzaei, SS Gousheh - Molecular Physics, 2010 - Taylor & Francis
We present a variational study of employing the trigonometric basis functions satisfying
periodic boundary condition for the accurate calculation of eigenvalues and eigenfunctions …

A study of the Fokker–Planck equation of bistable systems by the method of state-dependent diagonalization

F So, KL Liu - Physica A: Statistical Mechanics and its Applications, 2000 - Elsevier
We study the Fokker–Planck equation of one-dimensional bistable systems with symmetric
as well as asymmetric potentials. In this work, the method of state-dependent …

Degeneracy in one dimension: Role of singular potentials

K Bhattacharyya, RK Pathak - International journal of quantum …, 1996 - Wiley Online Library
That the bound energy eigenstates of one‐dimensional quantum systems can be
degenerate in the presence of specific singular or supersingular potentials is demonstrated …

On some problems of the maximum entropy ansatz

K Bandyopadhyay, K Bhattacharyya, AK Bhattacharya - Pramana, 2000 - Springer
Some problems associated with the use of the maximum entropy principle, namely,(i)
possible divergence of the series that is exponentiated,(ii) input-dependent asymptotic …

Maximum-entropy principle with moment recursion relations as constraints

K Bandyopadhyay, K Bhattacharyya, AK Bhattacharya - Physical Review A, 2001 - APS
We employ the maximum entropy ansatz to obtain reasonably accurate densities for a few
quantum oscillators and discrete dynamical systems. An optimization scheme is suggested …

Behavior of the Dirichlet boundary for wave functions in a class of singular potentials

SK Bandyopadhyay… - International journal of …, 2006 - Wiley Online Library
Variational studies on spiked oscillators with the potential form x2+ λ/xβ in [0,∞) reveal
certain limitations of the conventional choices for wave functions in the β≥ 2 regime. A …