Wave functions and half-off-shell t matrix of a two-particle system
Journal Article
·
· Theor. Math. Phys.; (United States)
OSTI ID:7166916
This paper obtains an integral representation that determines directly the partial wave functions and the half-off-shell t matrix of a two-particle system from scattering data. The representation has an explicitly controlled functional arbitrariness. If this is fixed in a manner equivalent to imposing the condition of locality on the interaction, the method developed is equivalent to the inverse scattering method. Other ways of fixing the arbitrariness correspond to different choices of nonlocal phase-equivalent potentials.
- Research Organization:
- V.A. Steklov Mathematic Institute
- OSTI ID:
- 7166916
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 64:2; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
BARYON-BARYON INTERACTIONS
BOUNDARY-VALUE PROBLEMS
DISTANCE
FUNCTIONS
HADRON-HADRON INTERACTIONS
HILBERT SPACE
INTEGRALS
INTERACTION RANGE
INTERACTIONS
INVERSE SCATTERING PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATRICES
NUCLEAR MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
S MATRIX
SHELL MODELS
SPACE
WAVE FUNCTIONS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
BARYON-BARYON INTERACTIONS
BOUNDARY-VALUE PROBLEMS
DISTANCE
FUNCTIONS
HADRON-HADRON INTERACTIONS
HILBERT SPACE
INTEGRALS
INTERACTION RANGE
INTERACTIONS
INVERSE SCATTERING PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATRICES
NUCLEAR MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
S MATRIX
SHELL MODELS
SPACE
WAVE FUNCTIONS