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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1994 Volume 218, Pages 197–205 (Mi znsl5982)

Uniform asymptotic expantions for the solution of Stueckelberg's system with turning points

I. N. Yakushina

Saint Petersburg State University

Abstract: Uniform asymptotic approximations for the solutions of Stueckelberg's system with analytic potentials are constructed in the neighborhood of the top of the potential barrier and in the neighborhood of the potential curve-crossing point in terms of parabolic cylinder functions. Bibliography: 11 titles.

UDC: 517.941

Received: 25.07.1994


 English version:
Journal of Mathematical Sciences (New York), 1997, 86:3, 2787–2792

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