Normalization of states for a quantum magnetic circular billiard

被引：1
|
作者：
de Prunele, E. [1 ]
机构：
[1] Univ Franche Comte, Inst UTINAM, CNRS, UMR 6213, F-25030 Besancon, France
来源：
PHYSICAL REVIEW A | 2009年 / 79卷 / 04期
关键词：
eigenvalues and eigenfunctions; wave functions; SPECTRUM;
D O I：
10.1103/PhysRevA.79.044502
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
An analytical expression is given for the normalization of wave functions of a charge particle inside a circular billiard in presence of an external magnetic field. The physical meaning of this normalizing factor is related to the derivative of the energy eigenvalue with respect to the radius of the billiard. A classical estimate of this factor gives another analytical expression which is in good numerical agreement with the quantum analytical result.
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页数：4
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