CORRESPONDENCE IDENTITIES .I.

被引:20
作者
NORCLIFF.A
PERCIVAL, IC
机构
来源
JOURNAL OF PHYSICS PART B ATOMIC AND MOLECULAR PHYSICS | 1968年 / 1卷 / 05期
关键词
D O I
10.1088/0022-3700/1/5/303
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The complete quantum-dynamical solutions for a free particle moving in one dimension and for a free particle moving on a ring are obtained in terms of classical path sums. The propagators and Green operator kernels, and, in particular, the kernel of the spectral operator IE = δ(E - H) are expressed explicitly in this way. Relations between quantum and classical mechanics which hold for low quantum numbers and relatively small values of the classical action are discussed. They are the correspondence identities.
引用
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页码:774 / &
相关论文
共 11 条
[1]  
CLUTTONBROCK M, 1965, PROC CAMB PHILOS S-M, V61, P201
[2]  
Feynman R.P., 1965, QUANTUM MECH PATH IN
[3]   HAMILTONIAN PATH-INTEGRAL METHODS [J].
GARROD, C .
REVIEWS OF MODERN PHYSICS, 1966, 38 (03) :483-&
[4]   PHASE-INTEGRAL APPROXIMATION IN MOMENTUM SPACE AND BOUND STATES OF AN ATOM [J].
GUTZWILLER, MC .
JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (10) :1979-+
[5]  
KURSUNOGLU B, 1962, MODERN QUANTUM THEOR
[6]  
LIGHTHILL MJ, 1960, INTRODUCTION FOURIER
[7]  
MESSIAH A, 1965, QUANTUM MECHANICS, V1
[8]  
Newton R.G., 1966, SCATTERING THEORY WA
[9]  
Schonberg M., 1951, NUOVO CIMENTO 1943 1, V8, P651, DOI [10.1007/BF02781012, DOI 10.1007/BF02781012]
[10]  
SCHRONDINGER E, 1928, COLLECTED PAPERS WAV