LARGE ORDER ASYMPTOTICS OF SEMICLASSICAL EXPANSION: A NEW APPROACH

Details LARGE ORDER ASYMPTOTICS OF SEMICLASSICAL EXPANSION: A NEW APPROACH LARGE ORDER ASYMPTOTICS OF SEMICLASSICAL EXPANSION: A NEW APPROACH

1995-04-17

arxiv.org/abs/quant-ph/9504012v1

Yadernaya Fizika 59 (1996) 263-270

Physics

Quantum Physics

24 pages, LaTeX, 4 figures can be obtained from the author, revised russian version is submitted to Yadernaya Fizika

Scientific paper

A new approach to the problem of finding the asymptotical behaviour of large orders of semiclassical expansion is suggested. Asymptotics of high orders not only for eigenvalues, but also for eigenfunctions, are constructed. Thus, one can apply not only functional integral technique, which has been used up to now, but also method of direct analysis of the semiclassical expansion recursive relations.

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