Quantum Gelfand-Levitan equations for nonlinear Schrödinger model of spin-½ particles
- 15 November 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 30 (10) , 2253-2256
- https://doi.org/10.1103/physrevd.30.2253
Abstract
The quantum Gelfand-Levitan equations for the nonlinear Schrödinger model of spin-½ particles are obtained. Two Izergin-Korepin relations are used in the derivation. A new type commutation relation of operators is introduced to get the commutation relations which are needed for the study of matrices and Green's functions. As examples, the four-point Green's functions and the two-body matrices are given.
Keywords
This publication has 4 references indexed in Scilit:
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- Quantum inverse problem and green functions for the Heisenberg ferromagnetPhysics Letters A, 1982
- Quantum Gelfand-Levitan method for the cubic schrödinger field theory with attractive couplingThe European Physical Journal C, 1981
- Gelfand-Levitan method for operator fieldsPhysical Review D, 1980