Soliton bands in anharmonic quantum lattices

J. C. Eilbeck, H. Gilhøj, Alwyn C. Scott

Research output: Contribution to journalArticle

Abstract

The number state method is used to calculate binding energies and effective masses from soliton bands for four quantum lattices: (i) the discrete nonlinear Schrödinger equation, (ii) the Ablowitz-Ladik equation (a q-boson model), (iii) a fermionic polaron model, and (iv) the Hubbard model. Results are expressed as functions of the number of freedoms and the ratio of anharmonicity to dispersion, and several physical interpretations are suggested. © 1993.

Original languageEnglish
Pages (from-to)229-235
Number of pages7
JournalPhysics Letters A
Volume172
Issue number4
Publication statusPublished - 4 Jan 1993

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solitary waves
nonlinear equations
bosons
binding energy

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Eilbeck, J. C., Gilhøj, H., & Scott, A. C. (1993). Soliton bands in anharmonic quantum lattices. Physics Letters A, 172(4), 229-235.
Eilbeck, J. C. ; Gilhøj, H. ; Scott, Alwyn C. / Soliton bands in anharmonic quantum lattices. In: Physics Letters A. 1993 ; Vol. 172, No. 4. pp. 229-235.
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Eilbeck, JC, Gilhøj, H & Scott, AC 1993, 'Soliton bands in anharmonic quantum lattices', Physics Letters A, vol. 172, no. 4, pp. 229-235.

Soliton bands in anharmonic quantum lattices. / Eilbeck, J. C.; Gilhøj, H.; Scott, Alwyn C.

In: Physics Letters A, Vol. 172, No. 4, 04.01.1993, p. 229-235.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Soliton bands in anharmonic quantum lattices

AU - Eilbeck, J. C.

AU - Gilhøj, H.

AU - Scott, Alwyn C.

PY - 1993/1/4

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N2 - The number state method is used to calculate binding energies and effective masses from soliton bands for four quantum lattices: (i) the discrete nonlinear Schrödinger equation, (ii) the Ablowitz-Ladik equation (a q-boson model), (iii) a fermionic polaron model, and (iv) the Hubbard model. Results are expressed as functions of the number of freedoms and the ratio of anharmonicity to dispersion, and several physical interpretations are suggested. © 1993.

AB - The number state method is used to calculate binding energies and effective masses from soliton bands for four quantum lattices: (i) the discrete nonlinear Schrödinger equation, (ii) the Ablowitz-Ladik equation (a q-boson model), (iii) a fermionic polaron model, and (iv) the Hubbard model. Results are expressed as functions of the number of freedoms and the ratio of anharmonicity to dispersion, and several physical interpretations are suggested. © 1993.

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SP - 229

EP - 235

JO - Physics Letters A

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Eilbeck JC, Gilhøj H, Scott AC. Soliton bands in anharmonic quantum lattices. Physics Letters A. 1993 Jan 4;172(4):229-235.