33 citations · 68 across the 6 of their papers we have counts for
6 papers
Discovery of the Relativistic Schrödinger Equation
Kamal Barley, José Vega-Guzmán, Andreas Ruffing +1
We discuss the discovery of the relativistic wave equation for a spin-zero charged particle in the Coulomb field by Erwin Schrödinger (and elaborate on why he didn't publish it).
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…
The Minimum-Uncertainty Squeezed States for for Atoms and Photons in a Cavity
Sergey I. Kryuchkov, Sergei K. Suslov, Jose M. Vega-Guzman
We describe a six-parameter family of the minimum-uncertainty squeezed states for the harmonic oscillator in nonrelativistic quantum mechanics. They are derived by the action of co…
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…