scholarly journals Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states

2017 ◽  
Vol 58 (6) ◽  
pp. 063507 ◽  
Author(s):  
Sid-Ahmed Yahiaoui ◽  
Mustapha Bentaiba
Keyword(s):  
Quantum System ◽  
Coherent States ◽  
Dependent Mass ◽  
Arbitrary Quantum ◽  
Position Dependent Mass

scholarly journals COHERENT AND GENERALIZED INTELLIGENT STATES FOR INFINITE SQUARE WELL POTENTIAL AND NONLINEAR OSCILLATORS

2002 ◽  
Vol 16 (26) ◽  
pp. 3915-3937 ◽  
Author(s):  
A. H. EL KINANI ◽  
M. DAOUD
Keyword(s):  
Quantum System ◽  
Coherent States ◽  
Nonlinear Oscillators ◽  
Analytical Representation ◽  
Square Well ◽  
Arbitrary Quantum

This article is an illustration of the construction of coherent and generalized intelligent states which has been recently proposed by us for an arbitrary quantum system.1 We treat the quantum system submitted to the infinite square well potential and the nonlinear oscillators. By means of the analytical representation of the coherent states à la Gazeau–Klauder and those à la Klauder–Perelomov, we derive the generalized intelligent states in analytical ways.

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 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.

Coherent States of Position-Dependent Mass Oscillator

2016 ◽  
Vol 55 (8) ◽  
pp. 3564-3578
Author(s):  
Shahram Dehdashti ◽  
Ali Mahdifar ◽  
Huaping Wang
Keyword(s):  
Coherent States ◽  
Dependent Mass ◽  
Position Dependent Mass
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