R. Carlone, R. Figari, C. Negulescu, L. Tentarelli, “Solvable models of quantum beating”, Nanosystems: Physics, Chemistry, Mathematics, 2018, Volume 9, Issue 2,Pages <nobr>162

MATHEMATICS

Solvable models of quantum beating

R. Carlone^a, R. Figari^bc, C. Negulescu^d, L. Tentarelli^e

^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

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.

PACS: 03.65.-w, 02.30.Rz

Received: 07.02.2018
Revised: 14.02.2018

Language: English

DOI: 10.17586/2220-8054-2018-9-2-162-170