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Change is coming to MEMOCS:
This journal is becoming a
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Read more about it.
Quantum mechanics:
some basic techniques for some basic models, I: The
models
Vincenzo Grecchi
Vol. 4 (2016), No. 3-4, 335–352
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Abstract |
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This is a short review of the main results on the oscillators considered basic models in quantum mechanics. Since the potential is polynomial, it is possible to extend the stationary states to entire functions on the complex plane where the semiclassical theory works better. The control on the energy levels is based on the isolation of the nodes, the zeros stable at the unperturbed limit. A new and simple model for the process of racemization of chiral molecules is added. |
Keywords
quantum oscillators, $PT$ symmetry, isospectral
Hamiltonians, spectral analysis, analyticity of the
eigenvalues
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Physics and Astronomy Classification Scheme 2010
Primary: 03.65.-w
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Milestones
Received: 25 March 2016
Revised: 29 September 2016
Accepted: 31 October 2016
Published: 4 February 2017
Communicated by Francesco dell'Isola
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Authors |
| Vincenzo Grecchi | |
| Dipartimento di Matematica Università di Bologna I-40126 Bologna Italy |
Gruppo Nazionale di Fisica
Matematica Istituto Nazionale di Alta Matematica Francesco Severi I-00185 Roma Italy |
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