Proof of a conjecture by Scott concerning energy levels in the quantum DST equation

Research output: Contribution to journalArticle

Abstract

Scott has recently studied the soliton binding energy in the quantum discrete self-trapping (DST) equation. His results depend on an eigenvalue of a certain matrix in the limit of large numbers of degrees of freedom, as conjectured on the basis of numerical calculations. We give a straightforward analytic proof that the conjecture is correct. The technique can be applied to other similar problems. © 1991.

Original languageEnglish
Pages (from-to)407-409
Number of pages3
JournalPhysics Letters A
Volume155
Issue number6-7
Publication statusPublished - 20 May 1991

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Binding Energy
Energy Levels
Trapping
Numerical Calculation
Solitons
Degree of freedom
Eigenvalue

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abstract = "Scott has recently studied the soliton binding energy in the quantum discrete self-trapping (DST) equation. His results depend on an eigenvalue of a certain matrix in the limit of large numbers of degrees of freedom, as conjectured on the basis of numerical calculations. We give a straightforward analytic proof that the conjecture is correct. The technique can be applied to other similar problems. {\circledC} 1991.",
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Proof of a conjecture by Scott concerning energy levels in the quantum DST equation. / Eilbeck, J. C.

In: Physics Letters A, Vol. 155, No. 6-7, 20.05.1991, p. 407-409.

Research output: Contribution to journalArticle

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