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

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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. © 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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