DOI 10.1007/s100520000514
Classical paths and the WKB approximation
Division of Physics,
National Institute of Education,
Nanyang Technological University,
469 Bukit Timah Road,
Singapore 259756, Singapore
Received: 6 June 2000 / Published online: 27 October 2000 - © Springer-Verlag 2000
Abstract
Recently, new connection formulas for the WKB method
have been proposed, without justification, for quantum
tunneling problems. We show that these formulas can be
associated with diagrammatic rules within the complex
time framework of the path integral formalism and then
we express the relevant Green functions in terms of a
sum of contributions coming from (easily interpreted)
classical paths. The method is applied to barrier
penetration and the double well.
Copyright Società Italiana di Fisica, Springer-Verlag 2000
