We present an exact solution of a confined model of the non-relativistic quantum harmonic
oscillator, where the effective mass and the angular frequency are dependent on the …

We constructed a new model of the non-relativistic quantum harmonic oscillator within the
canonical approach. It is asymmetrically confined into the infinitely high potential well …

Two exactly-solvable confined models of the completely positive oscillator-shaped quantum
well are proposed. Exact solutions of the position-dependent mass Schr\" odinger equation …

In this paper, we investigate the circuit complexity of a quantum harmonic oscillator
subjected to an external magnetic field. Utilizing the Nielsen approach within the thermofield …

In this paper, exactly solvable model of the quantum harmonic oscillator is proposed. Wave
functions of the stationary states and energy spectrum of the model are obtained through the …

Dynamical symmetry algebra for a semiconfined harmonic oscillator model with a position-
dependent effective mass is constructed. Selecting the starting point as a well-known …

In this work, we present a rigorous mathematical scheme for the derivation of the sth-order
perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed …

In this paper, we investigate the circuit complexity of a quantum charged particle in an
external magnetic field. Utilizing the Nielsen approach, we determine the complexity of …

This book provides a comprehensive collection of problems together with their detailed
solutions for Bose, Spin, Fermi systems and also interacting systems. Supplementary …

Exactly-solvable confined model of the non-relativistic quantum harmonic oscillator is
proposed. Free Hamiltonian of the system under study has a form of the Gora-Williams …