scholarly journals Quantum information for a solitonic particle with hyperbolic interaction

2021 ◽  
Author(s):  
Allan Ranieri Pereira Moreira
Keyword(s):  
Quantum Information ◽  
Kinetic Energy ◽  
Quantum System ◽  
Fisher Information ◽  
Analytical Solutions ◽  
Hamiltonian Operator ◽  
Barrier Potential ◽  
Stationary Quantum ◽  
Dependent Mass ◽  
Position Dependent Mass

Abstract In this work, we analyze a particle with position-dependent mass, with solitonic mass distribution in a stationary quantum system, for the particular case of the BenDaniel-Duke ordering, in a hyperbolic barrier potential. The kinetic energy ordering of BenDaniel-Duke guarantees the hermiticity of the Hamiltonian operator. We find the analytical solutions of the Schrödinger equation and their respective quantized energies. In addition, we calculate the Shannon entropy and Fisher information for the solutions in the case of the lowest energy states of the system.

Quantum information entropies for position-dependent mass Schrödinger problem

2014 ◽  
Vol 348 ◽  
pp. 153-160 ◽  
Author(s):  
G. Yañez-Navarro ◽  
Guo-Hua Sun ◽  
T. Dytrych ◽  
K.D. Launey ◽  
Shi-Hai Dong ◽  
...  
Keyword(s):  
Quantum Information ◽  
Dependent Mass ◽  
Position Dependent Mass

ALGEBRAIC APPROACH TO THE POSITION-DEPENDENT MASS SCHRÖDINGER EQUATION FOR A SINGULAR OSCILLATOR

2007 ◽  
Vol 22 (14) ◽  
pp. 1039-1045 ◽  
Author(s):  
SHI-HAI DONG ◽  
J. J. PEÑA ◽  
C. PACHECO-GARCÍA ◽  
J. GARCÍA-RAVELO
Keyword(s):  
Schrödinger Equation ◽  
Quantum System ◽  
Effective Mass ◽  
Lie Algebra ◽  
Schrodinger Equation ◽  
Algebraic Approach ◽  
Hidden Symmetry ◽  
Dependent Mass ◽  
Complete Solutions ◽  
Position Dependent Mass

We construct a singular oscillator Hamiltonian with a position-dependent effective mass. We find that an su(1, 1) algebra is the hidden symmetry of this quantum system and the isospectral potentials V(x) depend on the different choices of the m(x). The complete solutions are also presented by using this Lie algebra.

scholarly journals Fisher information for the position-dependent mass Schrödinger system

2016 ◽  
Vol 380 (1-2) ◽  
pp. 267-271 ◽  
Author(s):  
B.J. Falaye ◽  
F.A. Serrano ◽  
Shi-Hai Dong
Keyword(s):  
Fisher Information ◽  
Dependent Mass ◽  
Schrödinger System ◽  
Position Dependent Mass

scholarly journals Relativistic spin-1 particles with position-dependent mass under the Coulomb interaction: Exact analytical solutions of the DKP equation

2013 ◽  
Vol 91 (3) ◽  
pp. 191-197 ◽  
Author(s):  
M.K. Bahar ◽  
F. Yasuk
Keyword(s):  
Coulomb Interaction ◽  
Analytical Solutions ◽  
Iteration Method ◽  
Asymptotic Iteration Method ◽  
Exact Analytical Solutions ◽  
Dkp Equation ◽  
Energy Eigenvalues ◽  
Relativistic Spin ◽  
Dependent Mass ◽  
Position Dependent Mass

The Duffin–Kemmer–Petiau equation with position-dependent mass for relativistic spin-1 particles under equal vector and scalar Coulomb interaction is studied analytically. The energy eigenvalues and corresponding eigenfunctions are obtained using the asymptotic iteration method.

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