Solvable models of quantum beating
https://doi.org/10.17586/2220-8054-2018-9-2-162-170
Abstract
We review some results about the suppression of quantum beating in a one dimensional nonlinear double well potential. We implement a single particle double well potential model, making use of nonlinear point interactions. We show that there is complete suppression of the typical beating phenomenon characterizing the linear quantum case.
Keywords
Supporting agencies: R.C. and L.T. acknowledge the support of the FIR 2013 project “Condensed Matter in Mathematical Physics”, Ministry of University and Research of Italian Republic (code RBFR13WAET). C.N. would like to acknowledge support from the CNRS-PICS project “MANUS” (Modelling and Numerics of Spintronics and Graphenes, 2016 – 2018).
About the Authors
R. Carlone
Universita “Federico II” di Napoli, Dipartimento di Matematica e Applicazioni “R. Caccioppoli”
Italy
Italy
MSA, via Cinthia, I-80126, Napoli
R. Figari
Universita “Federico II” di Napoli, Dipartimento di Fisica e INFN Sezione di Napoli
Italy
Italy
MSA, via Cinthia, I-80126, Napoli
C. Negulescu
Universite de Toulouse & CNRS, UPS, Institut de Math´ematiques de Toulouse
France
France
UMR 5219´ F-31062 Toulouse
L. Tentarelli
Sapienza Universita di Roma, Dipartimento di Matematica
Italy
Italy
Piazzale Aldo Moro, 5, 00185, Roma
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Review
For citations:
Carlone R., Figari R., Negulescu C., Tentarelli L. Solvable models of quantum beating. Nanosystems: Physics, Chemistry, Mathematics. 2018;9(2):162–170. https://doi.org/10.17586/2220-8054-2018-9-2-162-170
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