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
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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 |
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| 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 |
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