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

Authors
  • Tuszynski, J.A.
  • Dixon, J.M.
Publication Date
Jan 01, 1996
Identifiers
DOI: 10.1142/S0217979297000484
OAI: oai:inspirehep.net:433621
Source
INSPIRE-HEP
License
Unknown
External links

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 Schrödinger type.

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