Pham, F. Resurgence, quantized canonical transformations, and multi-instanton expansions. (English) Zbl 0686.58032 Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 2, 699-726 (1989). [For the entire collection see Zbl 0665.00008.] The paper is devoted to the problem of using perturbation expansions in quantum mechanics. The purpose of the paper is to make the quantized canonical transformations and to study some questions which are bound up with multi-instantons expansions. Reviewer: V.Sobolev Cited in 11 Documents MSC: 37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion 81Q15 Perturbation theories for operators and differential equations in quantum theory Keywords:resurgent functions; quantum mechanics; multi-instantons expansions Citations:Zbl 0665.00008 PDFBibTeX XML