ASYMPTOTIC SOLUTIONS OF A SCHRODINGER-EQUATION WITH A 2ND-ORDER POLE

被引：2

作者：

LAY, W

SLAVYANOV, S

SMIRNOV, A

机构：

[1] MAX PLANCK INST MET RES,INST PHYS,W-7000 STUTTGART 80,GERMANY

[2] ST PETERSBURG STATE UNIV,SPBGU,NIIF,ST PETERSBURG 198904,RUSSIA

来源：

PHYSICS LETTERS A | 1993年 / 172卷 / 05期

关键词：

D O I：

10.1016/0375-9601(93)90107-B

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Asymptotic solutions of a Schrodinger equation in the vicinity of a second order pole singularity are constructed by means of the so-called comparison equation method. As an example the problem of the rotating oscillator with large length of the rotation axis is studied. An expansion for eigenenergies of this quantum system is deduced. Besides conventional series in ascending powers of the large parameter it includes the exponentially small term arising from tunneling phenomena.

引用

页码：305 / 312

页数：8

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