A generalization of the Iorio-O'Carroll theorem to the case of lattice Hamiltonians

A. M. Melnikov; A. I. Mogilner

doi:10.1088/0305-4470/24/15/032

A generalization of the Iorio-O'Carroll theorem to the case of lattice Hamiltonians

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Abstract

It is shown that a wide class of lattice Hamiltonians in solid-state physics describing the system of N three-dimensional weakly interacting quasiparticles is unitarily equivalent to the one of corresponding Hamiltonians of the system of non-interacting quasiparticles.

Original language	English (US)
Article number	032
Pages (from-to)	3671-3676
Number of pages	6
Journal	Journal of Physics A: General Physics
Volume	24
Issue number	15
DOIs	https://doi.org/10.1088/0305-4470/24/15/032
State	Published - 1991

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Physics and Astronomy
Mathematical Physics

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10.1088/0305-4470/24/15/032

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title = "A generalization of the Iorio-O'Carroll theorem to the case of lattice Hamiltonians",

abstract = "It is shown that a wide class of lattice Hamiltonians in solid-state physics describing the system of N three-dimensional weakly interacting quasiparticles is unitarily equivalent to the one of corresponding Hamiltonians of the system of non-interacting quasiparticles.",

author = "Melnikov, {A. M.} and Mogilner, {A. I.}",

year = "1991",

doi = "10.1088/0305-4470/24/15/032",

language = "English (US)",

volume = "24",

pages = "3671--3676",

journal = "Journal of Physics A: General Physics",

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AU - Mogilner, A. I.

PY - 1991

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N2 - It is shown that a wide class of lattice Hamiltonians in solid-state physics describing the system of N three-dimensional weakly interacting quasiparticles is unitarily equivalent to the one of corresponding Hamiltonians of the system of non-interacting quasiparticles.

AB - It is shown that a wide class of lattice Hamiltonians in solid-state physics describing the system of N three-dimensional weakly interacting quasiparticles is unitarily equivalent to the one of corresponding Hamiltonians of the system of non-interacting quasiparticles.

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JF - Journal of Physics A: General Physics

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A generalization of the Iorio-O'Carroll theorem to the case of lattice Hamiltonians

Abstract

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