Expansions for one quasiparticle states in spin 1/2 systems

Nilanjana Datta; Tom Kennedy

doi:10.1023/A:1015713005441

Expansions for one quasiparticle states in spin 1/2 systems

Nilanjana Datta, Tom Kennedy

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

Convergent expansions of the wavefunctions for the ground state and low-lying excited states of quantum transverse Ising systems are obtained. These expansions are employed to prove that the dispersion relation for a single quasi-particle has a convergent expansion.

Original language	English (US)
Pages (from-to)	373-399
Number of pages	27
Journal	Journal of Statistical Physics
Volume	108
Issue number	3-4
DOIs	https://doi.org/10.1023/A:1015713005441
State	Published - 2002

Keywords

Expansions
Quantum spins
Quasiparticles
Transverse Ising model

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1023/A:1015713005441

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title = "Expansions for one quasiparticle states in spin 1/2 systems",

abstract = "Convergent expansions of the wavefunctions for the ground state and low-lying excited states of quantum transverse Ising systems are obtained. These expansions are employed to prove that the dispersion relation for a single quasi-particle has a convergent expansion.",

keywords = "Expansions, Quantum spins, Quasiparticles, Transverse Ising model",

author = "Nilanjana Datta and Tom Kennedy",

note = "Funding Information: N.D. thanks C. Gruber, N. Macris, and M. Salmhofer for interesting discussions. T.K. thanks the D{\'e}partment de Physique and the Institut de Physique Th{\'e}orique of the Ecole Polytechnique F{\'e}d{\'e}rale de Lausanne for their hospitality during a visit when much of this work was done. He also acknowledges the support of the National Science Foundation (DMS-9970608).",

year = "2002",

doi = "10.1023/A:1015713005441",

language = "English (US)",

volume = "108",

pages = "373--399",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer New York",

number = "3-4",

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TY - JOUR

T1 - Expansions for one quasiparticle states in spin 1/2 systems

AU - Datta, Nilanjana

AU - Kennedy, Tom

N1 - Funding Information: N.D. thanks C. Gruber, N. Macris, and M. Salmhofer for interesting discussions. T.K. thanks the Départment de Physique and the Institut de Physique Théorique of the Ecole Polytechnique Fédérale de Lausanne for their hospitality during a visit when much of this work was done. He also acknowledges the support of the National Science Foundation (DMS-9970608).

PY - 2002

Y1 - 2002

N2 - Convergent expansions of the wavefunctions for the ground state and low-lying excited states of quantum transverse Ising systems are obtained. These expansions are employed to prove that the dispersion relation for a single quasi-particle has a convergent expansion.

AB - Convergent expansions of the wavefunctions for the ground state and low-lying excited states of quantum transverse Ising systems are obtained. These expansions are employed to prove that the dispersion relation for a single quasi-particle has a convergent expansion.

KW - Expansions

KW - Quantum spins

KW - Quasiparticles

KW - Transverse Ising model

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U2 - 10.1023/A:1015713005441

DO - 10.1023/A:1015713005441

M3 - Article

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VL - 108

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EP - 399

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

Expansions for one quasiparticle states in spin 1/2 systems

Abstract

Keywords

ASJC Scopus subject areas

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