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Nanosystems: Physics, Chemistry, Mathematics, 2018, Volume 9, Issue 2, Pages 162–170
DOI: https://doi.org/10.17586/2220-8054-2018-9-2-162-170 (Mi nano148) 		 
MATHEMATICS

Solvable models of quantum beating

R. Carlonea, R. Figaribc, C. Negulescud, L. Tentarellie

a Università "Federico II" di Napoli, Dipartimento di Matematica e Applicazioni "R. Caccioppoli", MSA, via Cinthia, I-80126, Napoli, Italy
b INFN Sezione di Napoli, MSA, via Cinthia, I-80126, Napoli, Italy
c Università "Federico II" di Napoli, Dipartimento di Fisica, MSA, via Cinthia, I-80126, Napoli, Italy
d Université de Toulouse & CNRS, UPS, Institut de Mathématiques de Toulouse UMR 5219, F-31062 Toulouse, France
e Sapienza Università di Roma, Dipartimento di Matematica, Piazzale Aldo Moro, 5, 00185, Roma, Italy
Full-text PDF (883 kB)
DOI: 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: nonlinear Schrödinger equation, weakly singular Volterra integral equations, quantum beating.
Funding agency Grant number
Italian Ministry of Education, University and Research RBFR13WAET
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).
Received: 07.02.2018
Revised: 14.02.2018
Bibliographic databases:
Document Type: Article
PACS: 03.65.-w, 02.30.Rz
Language: English
Citation: R. Carlone, R. Figari, C. Negulescu, L. Tentarelli, “Solvable models of quantum beating”, Nanosystems: Physics, Chemistry, Mathematics, 9:2 (2018), 162–170
Citation in format AMSBIB
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\by R.~Carlone, R.~Figari, C.~Negulescu, L.~Tentarelli
\paper Solvable models of quantum beating
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2018
\vol 9
\issue 2
\pages 162--170
\mathnet{http://mi.mathnet.ru/nano148}
\crossref{https://doi.org/10.17586/2220-8054-2018-9-2-162-170}
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\elib{https://elibrary.ru/item.asp?id=32760265}
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