69 citations · 181 across the 8 of their papers we have counts for
8 papers
The Degenerate Parametric Oscillator and Ince's Equation
Ricardo Cordero-Soto, Sergei K. Suslov
We construct Green's function for the quantum degenerate parametric oscillator in terms of standard solutions of Ince's equation in a framework of a general approach to harmonic os…
A Heuristic Derivation Of The Schrödinger Equation and the Momentum Operator
Ricardo Cordero-Soto
Students in a quantum mechanics course are often introduced to the Schrödinger equation as the standard mathematical tool. However, rarely do students develop an understanding as t…
Quantum Integrals of Motion for Variable Quadratic Hamiltonians
Ricardo Cordero-Soto, Erwin Suazo, Sergei K. Suslov
We construct the integrals of motion for several models of the quantum damped oscillators in nonrelativistic quantum mechanics in a framework of a general approach to the time-depe…
Expectation Values for Harmonic Oscillator in
Ricardo Cordero-Soto, Sergei K. Suslov
We evaluate the matrix elements for the -dimensional harmonic oscillator in terms of the dual Hahn polynomials and derive a corresponding three-term recurrence relati…
Models of Damped Oscillators in Quantum Mechanics
Ricardo Cordero-Soto, Erwin Suazo, Sergei K. Suslov
We consider several models of the damped oscillators in nonrelativistic quantum mechanics in a framework of a general approach to the dynamics of the time-dependent Schroedinger eq…
The Time Inversion for Modified Oscillators
Ricardo Cordero-Soto, Sergei K. Suslov
We discuss a new completely integrable case of the time-dependent Schroedinger equation in with variable coefficients for a modified oscillator, which is dual with respect to…