Abstract. The classical and quantum position-dependent mass harmonic oscillators are constructed by means of the supersymmetric approach. The correspondence between the classical and the quantum Hamiltonians is used to fix the ordering of the kinetic term in the quantum framework. Some examples are given for different types of mass function
To lowest order of perturbation theory we show that an equivalence can be established between a PT -...
yesThe classical solution is obtained for the system of two coupled harmonic oscillators with expone...
We construct a singular-oscillator Hamiltonian with a position-dependent effective mass. It is shown...
Schrödinger equation is considered within position-dependent mass formalism with a quasi-oscillator ...
ABSTRACT: The exact solutions to the time-dependent Schrodinger equation for a harmonic oscillator w...
We present an exact solution of a confined model of the non-relativistic quantum harmonic oscillator...
We apply the supersymmetry approach to one-dimensional quantum systems with spatially dependent mass...
This study is conducted & thesis submitted in partial fulfillment of the requirements for the degree...
We present a new model of a one-dimensional nonrelativistic canonical quantum harmonic oscillator wh...
During recent years, exact solutions of position-dependent mass Schrödinger equations have inspired ...
We provide a squeeze-like transformation that allows one to remove a position dependent mass from th...
We study exact solutions of the position-dependent effective mass Schrodinger equation by considerin...
A new method for generating exactly solvable Schr\"odinger equations with a position-dependent mass ...
We analyze the dynamical equations obeyed by a classical system with position-dependent mass. It is ...
We extend exactly solvable model of a one-dimensional non-relativistic canonical semiconfined quantu...
To lowest order of perturbation theory we show that an equivalence can be established between a PT -...
yesThe classical solution is obtained for the system of two coupled harmonic oscillators with expone...
We construct a singular-oscillator Hamiltonian with a position-dependent effective mass. It is shown...
Schrödinger equation is considered within position-dependent mass formalism with a quasi-oscillator ...
ABSTRACT: The exact solutions to the time-dependent Schrodinger equation for a harmonic oscillator w...
We present an exact solution of a confined model of the non-relativistic quantum harmonic oscillator...
We apply the supersymmetry approach to one-dimensional quantum systems with spatially dependent mass...
This study is conducted & thesis submitted in partial fulfillment of the requirements for the degree...
We present a new model of a one-dimensional nonrelativistic canonical quantum harmonic oscillator wh...
During recent years, exact solutions of position-dependent mass Schrödinger equations have inspired ...
We provide a squeeze-like transformation that allows one to remove a position dependent mass from th...
We study exact solutions of the position-dependent effective mass Schrodinger equation by considerin...
A new method for generating exactly solvable Schr\"odinger equations with a position-dependent mass ...
We analyze the dynamical equations obeyed by a classical system with position-dependent mass. It is ...
We extend exactly solvable model of a one-dimensional non-relativistic canonical semiconfined quantu...
To lowest order of perturbation theory we show that an equivalence can be established between a PT -...
yesThe classical solution is obtained for the system of two coupled harmonic oscillators with expone...
We construct a singular-oscillator Hamiltonian with a position-dependent effective mass. It is shown...