### 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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*Physics Letters A*,

*155*(6-7), 407-409.

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*Physics Letters A*, vol. 155, no. 6-7, pp. 407-409.

**Proof of a conjecture by Scott concerning energy levels in the quantum DST equation.** / Eilbeck, J. C.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Proof of a conjecture by Scott concerning energy levels in the quantum DST equation

AU - Eilbeck, J. C.

PY - 1991/5/20

Y1 - 1991/5/20

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=27844503916&partnerID=8YFLogxK

M3 - Article

VL - 155

SP - 407

EP - 409

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 6-7

ER -