BINDING-ENERGIES FOR DISCRETE NONLINEAR SCHRODINGER-EQUATIONS

P. D. Miller, Alwyn C. Scott, J CARR, Chris Eilbeck

Research output: Contribution to journalArticle

Abstract

The standard quantum discrete nonlinear Schrodinger equation with periodic boundary conditions and an arbitrary number of freedoms (f) is solved exactly at the second and third quantum levels. If f --> infinity at a sufficiently small level of anharmonicity (gamma), the value for soliton binding energy from quantum field theory (QFT) in the continuum limit is recovered. For fixed f, however, the QFT result always fails for gamma sufficiently large and also for gamma sufficiently small. Corresponding calculations are discussed for the quantized Ablowitz-Ladik equation at the second quantum level with periodic boundary conditions.

Original languageEnglish
Pages (from-to)509-516
Number of pages8
JournalPhysica Scripta T
Volume44
Issue number6
Publication statusPublished - Dec 1991

Cite this

Miller, P. D., Scott, A. C., CARR, J., & Eilbeck, C. (1991). BINDING-ENERGIES FOR DISCRETE NONLINEAR SCHRODINGER-EQUATIONS. Physica Scripta T, 44(6), 509-516.
Miller, P. D. ; Scott, Alwyn C. ; CARR, J ; Eilbeck, Chris. / BINDING-ENERGIES FOR DISCRETE NONLINEAR SCHRODINGER-EQUATIONS. In: Physica Scripta T. 1991 ; Vol. 44, No. 6. pp. 509-516.
@article{517f084529a94460901a1ca8a5363d5b,
title = "BINDING-ENERGIES FOR DISCRETE NONLINEAR SCHRODINGER-EQUATIONS",
abstract = "The standard quantum discrete nonlinear Schrodinger equation with periodic boundary conditions and an arbitrary number of freedoms (f) is solved exactly at the second and third quantum levels. If f --> infinity at a sufficiently small level of anharmonicity (gamma), the value for soliton binding energy from quantum field theory (QFT) in the continuum limit is recovered. For fixed f, however, the QFT result always fails for gamma sufficiently large and also for gamma sufficiently small. Corresponding calculations are discussed for the quantized Ablowitz-Ladik equation at the second quantum level with periodic boundary conditions.",
author = "Miller, {P. D.} and Scott, {Alwyn C.} and J CARR and Chris Eilbeck",
year = "1991",
month = "12",
language = "English",
volume = "44",
pages = "509--516",
journal = "Physica Scripta T",
issn = "0281-1847",
number = "6",

}

Miller, PD, Scott, AC, CARR, J & Eilbeck, C 1991, 'BINDING-ENERGIES FOR DISCRETE NONLINEAR SCHRODINGER-EQUATIONS', Physica Scripta T, vol. 44, no. 6, pp. 509-516.

BINDING-ENERGIES FOR DISCRETE NONLINEAR SCHRODINGER-EQUATIONS. / Miller, P. D.; Scott, Alwyn C.; CARR, J ; Eilbeck, Chris.

In: Physica Scripta T, Vol. 44, No. 6, 12.1991, p. 509-516.

Research output: Contribution to journalArticle

TY - JOUR

T1 - BINDING-ENERGIES FOR DISCRETE NONLINEAR SCHRODINGER-EQUATIONS

AU - Miller, P. D.

AU - Scott, Alwyn C.

AU - CARR, J

AU - Eilbeck, Chris

PY - 1991/12

Y1 - 1991/12

N2 - The standard quantum discrete nonlinear Schrodinger equation with periodic boundary conditions and an arbitrary number of freedoms (f) is solved exactly at the second and third quantum levels. If f --> infinity at a sufficiently small level of anharmonicity (gamma), the value for soliton binding energy from quantum field theory (QFT) in the continuum limit is recovered. For fixed f, however, the QFT result always fails for gamma sufficiently large and also for gamma sufficiently small. Corresponding calculations are discussed for the quantized Ablowitz-Ladik equation at the second quantum level with periodic boundary conditions.

AB - The standard quantum discrete nonlinear Schrodinger equation with periodic boundary conditions and an arbitrary number of freedoms (f) is solved exactly at the second and third quantum levels. If f --> infinity at a sufficiently small level of anharmonicity (gamma), the value for soliton binding energy from quantum field theory (QFT) in the continuum limit is recovered. For fixed f, however, the QFT result always fails for gamma sufficiently large and also for gamma sufficiently small. Corresponding calculations are discussed for the quantized Ablowitz-Ladik equation at the second quantum level with periodic boundary conditions.

M3 - Article

VL - 44

SP - 509

EP - 516

JO - Physica Scripta T

JF - Physica Scripta T

SN - 0281-1847

IS - 6

ER -