The Quantum Arnold Transformation and its applications

Guerrero, J. and López-Ruiz, F. F. (2013) The Quantum Arnold Transformation and its applications. Il nuovo cimento C, 36 (3). pp. 127-137. ISSN 1826-9885

[img]
Preview
Text
ncc10556.pdf - Published Version

Download (165kB) | Preview
Official URL: https://www.sif.it/riviste/sif/ncc/econtents/2013/...

Abstract

The Quantum Arnold Transformation, a unitary operator mapping the solutions of the Schr¨odinger equation for time-dependent quadratic Hamiltonians into free-particle solutions, is revisited. Possible applications and extensions are also outlined: the analytic construction of harmonic states for the free particle, the Quantum Arnold-Ermakov-Pinney transformation and the description of the Release & Recapture method.

Item Type: Article
Uncontrolled Keywords: Quantum mechanics ; Ordinary differential equations ; Functional analytical methods ; Group theory
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 05 May 2020 12:54
Last Modified: 05 May 2020 12:54
URI: http://eprints.bice.rm.cnr.it/id/eprint/18273

Actions (login required)

View Item View Item