Interaction of two particles in an external field

Journal Article · Tue Mar 01 04:00:00 EST 1983 · Sov. J. Particles Nucl. (Engl. Transl.); (United States)

OSTI ID:5453757

Komarov, V V; Popova, A M; Shablov, V L

For two quantum-mechanical particles in an external field a decomposition is obtained for the integral scattering operator in which all the pole (principal) singularities corresponding to the formation of bound states in independent subsystems (bound states of the first and of the second particle in the field and of the two particles) are separated explicitly. For the unknown functions of this decomposition (the components of the integral scattering operator) a system of integral equations with kernels that have only integrable singularities is obtained. The connection between the elements of the S matrix and the components of the total scattering operator is established. The spectral properties of the total Green's function of the system of two particles in the field are investigated. A method is proposed for generalizing this spectral analysis to the case of a problem of three bodies with arbitrary masses; this method makes it possible to describe the bound states and resonances that arise in the system.

• Research Organization: Scientific-Research Institute of Nuclear Physics, Moscow State University
• OSTI ID: 5453757
• Journal Information: Sov. J. Particles Nucl. (Engl. Transl.); (United States), Journal Name: Sov. J. Particles Nucl. (Engl. Transl.); (United States) Vol. 14:2; ISSN SJPNA
• Country of Publication: United States
• Language: English

Related Subjects

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657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
EQUATIONS
FUNCTIONS
GREEN FUNCTION
INTEGRAL EQUATIONS
KERNELS
MANY-BODY PROBLEM
MATRICES
MECHANICS
QUANTUM MECHANICS
S MATRIX
SCATTERING
SINGULARITY
THREE-BODY PROBLEM