A constructive approach to the quantum (Cosh \(\phi\) \()_ 2\) model. I. The method of the Gel'fand-Levitan-Marchenko equations

DOI10.1007/BF01084943zbMath0634.45003MaRDI QIDQ1096843

I. M. Khamitov

Publication date: 1988

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

renormalizationWightman axiomsscattering operatorGel'fand-Levitan-Marchenko equationsquantum Gel'fand-Levitan equationssh-Gordon model

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Integral equations with kernels of Cauchy type (45E05) Integral equations with miscellaneous special kernels (45H05)

Related Items

T-invariance, CPT-invariance, and local commutativity for the quantum \((\cosh\phi)_ 2\)-model, On convergence of form factor expansions in the infinite volume quantum sinh-Gordon model in \(1+1\) dimensions, Formulae for form factors in the quantum sh-Gordon model, Form-factors in the SU(2)-invariant Thirring model, Algebraic solution of the Hubbard model on the infinite interval

Cites Work

• Quantum inverse problem method. I
• Quantum version of the method of inverse scattering problem
• Inverse scattering transform as an operator method in quantum field theory
• Second quantisation of the nonlinear Schrodinger equation
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