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Levinson theorem for Dirac particles

Journal Article · · Phys. Rev. D; (United States)
;
The Levinson theorem is generalized to Dirac particles moving in the potential Vertical BarV(r)Vertical Bar or =a. The number n/sub kappam/ of bound states for a given angular momentum kappa = +- (j+(1/2)) and m = j, j-1, . . .,-j is related to the phase shifts delta/sub kappa/(E/sub ..nu../) of zero-momentum (E/sub ..nu../ = +- ..mu..) scattering states as follows:
Research Organization:
Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794
OSTI ID:
6129883
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:6; ISSN PRVDA
Country of Publication:
United States
Language:
English

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Related Subjects

645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOUND STATE
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FUNCTIONS
GREEN FUNCTION
INTERACTIONS
JOST FUNCTION
LEVINSON THEOREM
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PHASE SHIFT
POTENTIALS
QUANTUM NUMBERS
SCATTERING
SCHROEDINGER EQUATION
WAVE EQUATIONS