Victor Aldaya

Chained Quantum Arnold Transformations

Francisco F. López-Ruiz, Julio Guerrero [2], Victor Aldaya [1]

Abstract

We put forward the concatenation of Quantum Arnold Transformations as a tool to obtain the wave function of a particle subjected to a harmonic potential which is switched on and off successively. This simulates the capture and release process of an ion in a trap and provides a mathematical picture of this physical process.