97-291 Laptev, A., Sigal, I.M.

Global Fourier Integral Operators and Semiclassical Asymptotics (225K, postscript) May 22, 97

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Abstract. In this paper we introduce a class of semicalssical Fourier integral operators with global complex phases approximating the fundamental solutions (propagators) for time-dependent Schroedinger equations. Our construction is elementary, it is inspired by the joint work of the first author with Yu. Safarov and D. Vasiliev. We consider several simple but basic examples.

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