Multiparticle Schroedinger Hamiltonians with point interactions
Journal Article
·
· Phys. Rev. D; (United States)
We construct the resolvent for a nonrelativistic multiparticle Schroedinger Hamiltonian having point interactions, and accommodating annihilation and creation of, at most, three particles. The construction is similar to that for the simple point-interaction (pseudopotential) case and leads to Skorniakov-Ter Martirosian-type integral equations. Unlike the Skorniakov-Ter Martirosian equations, however, the integral equations considered here have a unique solution and, moreover, the resulting Hamiltonian is bounded below. Scattering theory for the operator is discussed briefly.
- Research Organization:
- Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903
- OSTI ID:
- 6406997
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 30:6; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BANACH SPACE
BASIC INTERACTIONS
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
ELECTROMAGNETIC INTERACTIONS
EQUATIONS
FUNCTIONS
HAMILTONIANS
HILBERT SPACE
INTEGRAL EQUATIONS
INTERACTIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
QUANTUM OPERATORS
SCATTERING
SCHROEDINGER EQUATION
SPACE
WAVE EQUATIONS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BANACH SPACE
BASIC INTERACTIONS
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
ELECTROMAGNETIC INTERACTIONS
EQUATIONS
FUNCTIONS
HAMILTONIANS
HILBERT SPACE
INTEGRAL EQUATIONS
INTERACTIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
QUANTUM OPERATORS
SCATTERING
SCHROEDINGER EQUATION
SPACE
WAVE EQUATIONS