COUPLED-CHANNEL SCATTERING AND SEPARATION OF COUPLED DIFFERENTIAL-EQUATIONS BY GENERALIZED DARBOUX TRANSFORMATIONS

被引：18

作者：

CANNATA, F

IOFFE, MV

机构：

[1] UNIV ST PETERSBURG,DEPT THEORET PHYS,ST PETERSBURG 198904,RUSSIA

[2] INFN,I-40126 BOLOGNA,ITALY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 03期

关键词：

D O I：

10.1088/0305-4470/26/3/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

General methods for separation of coupled differential equations are applied in coupled-channel scattering theory with appropriate asymptotic conditions. It is shown that the problems with thresholds cannot be separated. Finally it is pointed out that separation of the coupled-channel s-wave problem without thresholds can be realized by the use of generalized Darboux transformations.

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页码：L89 / L92

页数：4

相关论文

共 12 条

[1] COUPLED-CHANNEL SUPERSYMMETRIC QUANTUM-MECHANICS [J].

AMADO, RD ;

CANNATA, F ;

DEDONDER, JP .

PHYSICAL REVIEW A, 1988, 38 (07) :3797-3800

[2] SUPERSYMMETRIC QUANTUM-MECHANICS, THE PAULI PRINCIPLE, AND NUCLEON-ALPHA SCATTERING [J].

AMADO, RD ;

CANNATA, F ;

DEDONDER, JP .

PHYSICAL REVIEW C, 1990, 41 (03) :1289-1291

[3] FORMAL SCATTERING-THEORY APPROACH TO S-MATRIX RELATIONS IN SUPERSYMMETRIC QUANTUM-MECHANICS [J].

AMADO, RD ;

CANNATA, F ;

DEDONDER, JP .

PHYSICAL REVIEW LETTERS, 1988, 61 (26) :2901-2904

[4] INTERTWINING-OPERATORS FOR SOLVING DIFFERENTIAL-EQUATIONS, WITH APPLICATIONS TO SYMMETRIC-SPACES [J].

ANDERSON, A ;

CAMPORESI, R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 130 (01) :61-82

[5] INTERTWINING OF EXACTLY SOLVABLE DIRAC EQUATIONS WITH ONE-DIMENSIONAL POTENTIALS [J].

ANDERSON, A .

PHYSICAL REVIEW A, 1991, 43 (09) :4602-4610

[6] PARASUPERSYMMETRY AND TRUNCATED SUPERSYMMETRY IN QUANTUM-MECHANICS [J].

ANDRIANOV, AA ;

IOFFE, MV ;

SPIRIDONOV, VP ;

VINET, L .

PHYSICS LETTERS B, 1991, 272 (3-4) :297-304

[7]

ANDRIANOV AA, 1993, UNPUB PHYS LETT B

[8] SOLVABLE COUPLED CHANNEL PROBLEMS FROM SUPERSYMMETRIC QUANTUM-MECHANICS [J].

CANNATA, F ;

IOFFE, MV .

PHYSICS LETTERS B, 1992, 278 (04) :399-402

[9]

CAO XC, 1992, J PHYSICS A, V25, P3749

[10] SEPARATION OF COUPLED SYSTEMS OF DIFFERENTIAL-EQUATIONS BY DARBOUX TRANSFORMATIONS [J].

HUMI, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (07) :1085-1091