QUANTUM-MECHANICAL IMPLICATIONS OF CLASSICAL ERGODICITY

被引:151
作者
STRATT, RM [1 ]
HANDY, NC [1 ]
MILLER, WH [1 ]
机构
[1] UNIV CALIF BERKELEY LAWRENCE BERKELEY LAB,DIV MAT & MOLEC RES,BERKELEY,CA 94720
关键词
D O I
10.1063/1.438772
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The concept of quantum ergodicity is examined empirically through a quantitative study of the eigenfunctions of both the Barbanis and Casati-Ford potentials. By considering the behavior of the nodes of the wave functions and by employing a combination of natural orbital and spectral analyses, many of the higher eigenstates can apparently be classified as ergodic. These particular states seem to correspond quite well not only to classical ergodic trajectories but also to (currently) unquantizable semiclassical wave functions. The relationship between this quantal ergodicity and its classical equivalent is discussed. © 1979 American Institute of Physics.
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收藏
页码:3311 / 3322
页数:12
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