Abstract
We show explicitly the relation between the uniform asymptotic and the Jeffreys-Wentzel-Kramers-Brillouin (JWKB) wavefunctions, and between the matching of uniform asymptotic expansions and the complete JWKB connection formulae written in terms of Stokes multipliers and loop integrals. As an application we give a unified derivation of the asymptotic behaviour of the imaginary part of the resonances in anharmonic oscillators and, via dispersion relations, the corresponding asymptotic behaviour of the Rayleigh-Schrodinger perturbation theory coefficients.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
