Exact WKB analysis of non-adiabatic transition probabilities for three levels

被引：18

作者：

Aoki, T ^{[1
]}

Kawai, T

Takei, Y

机构：

[1] Kinki Univ, Sch Sci & Technol, Dept Math & Phys, Higashiosaka, Osaka 5778502, Japan

[2] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 10期

关键词：

D O I：

10.1088/0305-4470/35/10/306

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Schrodinger equation idpsi/dt = etaHpsi with a large parameter eta and an appropriate 3 x 3 matrix H is studied by the exact WKB method, i.e. WKB analysis based on the Borel resummation. Transition probabilities of solutions of the equation are explicitly calculated with the help of the connection formula for WKB solutions. Since a 3 x 3 system is considered, addition of new Stokes curves is necessary to obtain the correct connection formula (Berk-Nevins-Roberts' observation), and we present a practically useful procedure for finding required new Stokes curves.

引用

页码：2401 / 2430

页数：30

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