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 …
An approach is developed for constructing simple analytical formulas accurately approximating solutions to eigenvalue problems of quantum mechanics. This approach is …
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 …
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 …
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 …
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 …
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 …
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 …
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 …