43 citations · 81 across the 7 of their papers we have counts for
7 papers
On a Hidden Symmetry of Quantum Harmonic Oscillators
Raquel M. Lopez, Sergei K. Suslov, Jose M. Vega-Guzman
We consider a six-parameter family of the square integrable wave functions for the simple harmonic oscillator, which cannot be obtained by the standard separation of variables. The…
On The Harmonic Oscillator Group
Raquel M. Lopez, Sergei K. Suslov, Jose M. Vega-Guzman
We discuss the maximum kinematical invariance group of the quantum harmonic oscillator from a view point of the Ermakov-type system. A six parameter family of the square integrable…
Exact Wave Functions for Generalized Harmonic Oscillators
Nathan Lanfear, Raquel M. Lopez, Sergei K. Suslov
We transform the time-dependent Schroedinger equation for the most general variable quadratic Hamiltonians into a standard autonomous form. As a result, the time-evolution of exact…
Logistic Models with Time-Dependent Coefficients and Some of Their Applications
Raquel M. Lopez, Benjamin R. Morin, Sergei K. Suslov
We discuss explicit solutions of the logistic model with variable parameters. Classical data on the sunflower seeds growth are revisited as a simple application of the logistic mod…
A Mechanism for Stabilization of Dynamics in Nonlinear Systems with Different Time Scales
Raquel M. Lopez, Sergei K. Suslov, Erika T. Camacho
There are many natural, physical, and biological systems that exhibit multiple time scales. For example, the dynamics of a population of ticks can be described in continuous time d…
Propagator of a Charged Particle with a Spin in Uniform Magnetic and Perpendicular Electric Fields
Ricardo Cordero-Soto, Raquel M. Lopez, Erwin Suazo +1
We construct an explicit solution of the Cauchy initial value problem for the time-dependent Schroedinger equation for a charged particle with a spin moving in a uniform magnetic f…