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A derivation of relativistically-invariant nonlinear field equations for strongly interacting many-body systems

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UNSPECIFIED (1997) A derivation of relativistically-invariant nonlinear field equations for strongly interacting many-body systems. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 11 (7). pp. 929-944. ISSN 0217-9792

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Abstract

We re-examine the derivation of nonlinear field equations for a system of strongly interacting quasiparticles. Emphasis is placed on typical dispersion relations in the relativistic regime. Through Heisenberg's equations of motion for second-quantised operators we demonstrate that interacting many-body systems are described by a nonlinear Klein-Gordon type field equation. Its nonrelativistic equivalent was previously shown to be of the nonlinear Schrodinger type.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Journal or Publication Title: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
ISSN: 0217-9792
Date: 20 March 1997
Volume: 11
Number: 7
Number of Pages: 16
Page Range: pp. 929-944
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/17887

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