### 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 |
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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 |

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## Cite this

Eilbeck, J. C. (1991). Proof of a conjecture by Scott concerning energy levels in the quantum DST equation.

*Physics Letters A*,*155*(6-7), 407-409.