Covariant and gauge-invariant calculation of higher-order corrections in WKB expansions on Riemannian manifolds

Journal Article · Sun Mar 15 00:00:00 EST 1981 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.23.1290· OSTI ID:6545891

Langouche, F; Roekaerts, D; Tirapegui, E

It is shown how to compute explicitly and in a covariant way the higher-order corrections to the WKB approximation for propagators in curved spaces. We treat the quantum propagator corresponding to the classical system with Lagrangian L/sub cl/1/2(g-italic) = /sub munu/q/sup ..mu../q/sup ..nu../ + q/sup ..mu../A/sub ..mu../(q)-V(q). The method uses discrete techniques of phase-space functional integrals and involves normal coordinates around the classical path. The gauge invariance of the corrections is also explicitly exhibited.

• Research Organization: Instituut voor Theoretische Fysica, Universiteit Leuven, B-3030 Leuven, Belgium
• OSTI ID: 6545891
• Journal Information: Phys. Rev., D; (United States), Vol. 23:6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
PROPAGATOR
WKB APPROXIMATION
RIEMANN SPACE
BOUNDARY CONDITIONS
CORRECTIONS
GAUGE INVARIANCE
LAGRANGIAN FUNCTION
METRICS
PHASE SPACE
SCHROEDINGER EQUATION
TIME DEPENDENCE
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
WAVE EQUATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics