### 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 language | English |
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Pages (from-to) | 229-235 |

Number of pages | 7 |

Journal | Physics Letters A |

Volume | 172 |

Issue number | 4 |

Publication status | Published - 4 Jan 1993 |

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### Cite this

*Physics Letters A*,

*172*(4), 229-235.

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*Physics Letters A*, vol. 172, no. 4, pp. 229-235.

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Soliton bands in anharmonic quantum lattices

AU - Eilbeck, J. C.

AU - Gilhøj, H.

AU - Scott, Alwyn C.

PY - 1993/1/4

Y1 - 1993/1/4

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.

M3 - Article

VL - 172

SP - 229

EP - 235

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 4

ER -