Time-dependent WKB expansions for a class of propagators

✍ Scribed by S.M. Blinder

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 257 KB
• Volume: 123
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(86)87012-9

✦ Synopsis

A time-dependent variant of the WKB method is developed for propagators which do not have the simple Feynman structure K = jexp(iS/h) with j = j( t). The method is applied to radial propagators for N-dimensional isotropic oscillators. An expansion in ascending powers of h results in an asymptotic series, which sums to a simple form involving a Bessel function. Alternatively, a convergent series for the propagator is obtained by expansion in inverse powers of tr.