Topological charge quantization via path integration: An application of the Kustaanheimo-Stiefel transformation

Journal Article · Sun Aug 01 00:00:00 EDT 1993 · Foundations of Physics; (United States)

DOI:https://doi.org/10.1007/BF00732414· OSTI ID:5586153

Inomata, A ^[1]; Junker, G ^[2]; Wilson, R ^[3]

---

1. State Univ. of New York, Albany, NY (United States)
2. Universitaet Erlangen-Nuernberg (Germany)
3. Univ. of Texas, San Antonio TX (United States)

The unified treatment of the Dirac monopole, the Schwinger monopole, and the Aharonov-Bahn problem by Barut and Wilson is revisited via a path integral approach. The Kustaanheimo-Stiefel transformation of space and time is utilized to calculate the path integral for a charged particle in the singular vector potential. In the process of dimensional reduction, a topological charge quantization rule is derived, which contains Dirac's quantization condition as a special case. 32 refs.

• OSTI ID: 5586153
• Journal Information: Foundations of Physics; (United States), Vol. 23:8; ISSN 0015-9018
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM FIELD THEORY
FOUR-DIMENSIONAL CALCULATIONS
SPACE CHARGE
QUANTIZATION
TOPOLOGICAL MAPPING
AHARONOV-BOHM EFFECT
DELTA FUNCTION
ELEMENTARY PARTICLES
GREEN FUNCTION
INTEGRAL EQUATIONS
MAGNETIC MONOPOLES
SU-2 GROUPS
TRANSFORMATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
LIE GROUPS
MAPPING
MONOPOLES
POSTULATED PARTICLES
SU GROUPS
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)