Published August 1989 | Version v1
Journal article Metadata-only

Classical and quantum scattering on a spinning cone

Creators

  • 1. Massachusetts Inst. of Tech., Cambridge (USA). Dept. of Physics
  • 2. Massachusetts Inst. of Tech., Cambridge (USA). Lab. for Nuclear Science

Description

Solutions are presented for the Klein-Gordon and Dirac equations in the 2+1 dimensional space-time created by a massive point particle, with arbitrary angular momentum. A universal formula for the scattering amplitude holds when a required self-adjoint extension of the Dirac operator is specified uniquely. Various obstacles to a consistent quantum mechanical interpretation of these results are noted. (orig.)

Additional details

Publishing Information

Journal Title
Communications in Mathematical Physics
Journal Volume
124
Journal Issue
2
Series
Commun. Math. Phys.
Journal Page Range
229-260
ISSN
0010-3616
CODEN
CMPHA

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
20064570
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; ANGULAR MOMENTUM OPERATORS; BESSEL FUNCTIONS; BOSONS; CLASSICAL MECHANICS; DIRAC EQUATION; DIRAC OPERATORS; EIGENFUNCTIONS; FERMIONS; GENERAL RELATIVITY THEORY; HERMITIAN OPERATORS; KLEIN-GORDON EQUATION; PHASE SHIFT; QUANTUM MECHANICS; RELATIVISTIC RANGE; SCATTERING; SCATTERING AMPLITUDES; SPACE-TIME; SPIN; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; WAVE FUNCTIONS
Descriptors DEC
AMPLITUDES; ANGULAR MOMENTUM; DIFFERENTIAL EQUATIONS; ENERGY RANGE; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; MATHEMATICAL OPERATORS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; QUANTUM OPERATORS; WAVE EQUATIONS

Optional Information

Contract/Grant/Project number
Contract DE-AC02-76ER03069