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

J. C. Eilbeck

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

J. C. Eilbeck

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	407-409
Number of pages	3
Journal	Physics Letters A
Volume	155
Issue number	6-7
Publication status	Published - 20 May 1991

Cite this

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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. {\textcopyright} 1991.",

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AB - 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.

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EP - 409

JO - Physics Letters A

JF - Physics Letters A

IS - 6-7

ER -

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

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