33 citations · 68 across the 6 of their papers we have counts for
3 papers · 1 filter
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…
The Riccati System and a Diffusion-Type Equation
Erwin Suazo, Sergei K. Suslov, Jose M. Vega-Guzman
We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems. A nonauton…
The Riccati Differential Equation and a Diffusion-Type Equation
Erwin Suazo, Sergei K. Suslov, Jose M. Vega-Guzman
We construct an explicit solution of the Cauchy initial value problem for certain diffusion-type equations with variable coefficients on the entire real line. The corresponding Gre…