Coherent states of position-dependent mass trapped in an infinite square well

2020 ◽  
Vol 61 (8) ◽  
pp. 082102
Author(s):  
Naila Amir ◽  
Shahid Iqbal
Keyword(s):  
Coherent States ◽  
Square Well ◽  
Dependent Mass ◽  
Position Dependent Mass

Path integral for quantum dynamics with position-dependent mass within the displacement operator approach

2020 ◽  
Vol 35 (30) ◽  
pp. 2050246
Author(s):  
H. Benzair ◽  
M. Merad ◽  
T. Boudjedaa
Keyword(s):  
Quantum Mechanics ◽  
Path Integral ◽  
Quantum Dynamics ◽  
Translation Operator ◽  
Integral Approach ◽  
Operator Approach ◽  
Square Well ◽  
Dependent Mass ◽  
Position Dependent Mass ◽  
Coulomb Potentials

In the context of quantum mechanics reformulated in a modified Hilbert space, we can formulate the Feynman’s path integral approach for the quantum systems with position-dependent mass particle using the formulation of position-dependent infinitesimal translation operator. Which is similar a deformed quantum mechanics based on modified commutation relations. An illustration of calculation is given in the case of the harmonic oscillator, the infinite square well and the inverse square plus Coulomb potentials.

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
Sign in / Sign up

Export Citation Format

Share Document