Sturmian expansion method for bound state problems
Journal Article
·
· Phys. Rev., C; (United States)
A novel precision method is developed to solve a two-body bound state problem where the interaction may be an arbitrary relativistic, complex, nonlocal operator and, in particular, may contain also the Coulomb potential. The method is based on the expansion of the Green's function (free or Coulomb modified) in terms of a discrete set of Coulomb Sturm functions which have equally simple forms in x or p space representation. The method should be particularly useful for hadronic atom problems. Other applications are also suggested.
- Research Organization:
- Department of Physics, University of Guelph, Guelph, Ontario N1G 2W1, Canada
- OSTI ID:
- 5385978
- Journal Information:
- Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 21:5; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645207 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. Greater than 1-- (-1987)
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ATOMS
BOUND STATE
COULOMB FIELD
ELECTRIC FIELDS
ENERGY RANGE
FUNCTIONS
GREEN FUNCTION
HADRONIC ATOMS
MANY-BODY PROBLEM
MATRICES
NONLOCAL POTENTIAL
POTENTIALS
RELATIVISTIC RANGE
S MATRIX
SCATTERING LENGTHS
SERIES EXPANSION
TWO-BODY PROBLEM
Baryon No. Greater than 1-- (-1987)
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ATOMS
BOUND STATE
COULOMB FIELD
ELECTRIC FIELDS
ENERGY RANGE
FUNCTIONS
GREEN FUNCTION
HADRONIC ATOMS
MANY-BODY PROBLEM
MATRICES
NONLOCAL POTENTIAL
POTENTIALS
RELATIVISTIC RANGE
S MATRIX
SCATTERING LENGTHS
SERIES EXPANSION
TWO-BODY PROBLEM