The squared eigenfunctions of the massive Thirring model in laboratory coordinates

被引:34
作者
Kaup, DJ [1 ]
Lakoba, TI [1 ]
机构
[1] CLARKSON UNIV,DEPT PHYS,POTSDAM,NY 13699
关键词
D O I
10.1063/1.531392
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We demonstrate a simple procedure for finding the squared eigenfunctions of an integrable system and illustrate the method by deriving the squared eigenfunctions of the massive Thirring model. We give the formula for the inner products between the direct squared eigenfunction problem and its adjoint. We also demonstrate closure and express the variations of the potentials in terms of variations of the scattering data. (C) 1996 American Institute of Physics.
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页码:308 / 323
页数:16
相关论文
共 13 条
[1]   SELF-INDUCED TRANSPARENCY SOLITONS IN NONLINEAR REFRACTIVE PERIODIC MEDIA [J].
ACEVES, AB ;
WABNITZ, S .
PHYSICS LETTERS A, 1989, 141 (1-2) :37-42
[2]   QUADRATIC BUNDLE AND NON-LINEAR EQUATIONS [J].
GERDZHIKOV, VS ;
IVANOV, MI ;
KULISH, PP .
THEORETICAL AND MATHEMATICAL PHYSICS, 1980, 44 (03) :784-795
[3]  
Gadjiev I. T., 1982, SCI NOTES LOMI SEMIN, V120, P55
[4]  
Gerdjikov V. S., 1983, Bulgarian Journal of Physics, V10, P13
[5]   GAUGE COVARIANT FORMULATION OF THE GENERATING OPERATOR .1. THE ZAKHAROV-SHABAT SYSTEM [J].
GERDJIKOV, VS ;
YANOVSKI, AB .
PHYSICS LETTERS A, 1984, 103 (05) :232-236
[6]  
GERDJIKOV VS, 1986, PROG THEOR PHYS, V75, P1111
[7]   PERTURBATION EXPANSION FOR ZAKHAROV-SHABAT INVERSE SCATTERING TRANSFORM [J].
KAUP, DJ .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1976, 31 (01) :121-133
[8]   CLOSURE OF SQUARED ZAKHAROV-SHABAT EIGENSTATES [J].
KAUP, DJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 54 (03) :849-864
[9]   THE SQUARED EIGENSTATES OF THE SINE-GORDON EIGENVALUE PROBLEM [J].
KAUP, DJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (08) :2467-2471
[10]   EVOLUTION EQUATIONS, SINGULAR DISPERSION-RELATIONS, AND MOVING EIGENVALUES [J].
KAUP, DJ ;
NEWELL, AC .
ADVANCES IN MATHEMATICS, 1979, 31 (01) :67-100