PROPERTIES OF VIBRATIONAL ENERGY-LEVELS IN THE QUASI-PERIODIC AND STOCHASTIC REGIMES

被引:201
作者
NOID, DW
KOSZYKOWSKI, ML
TABOR, M
MARCUS, RA
机构
[1] CALTECH, ARTHUR AMOS NOYES LAB CHEM PHYS, PASADENA, CA 91125 USA
[2] SANDIA LABS, LIVERMORE, CA 94550 USA
关键词
D O I
10.1063/1.439075
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
Several aspects of the quantal energy spectrum are explored for the Henon-Heiles Hamiltonian system: a striking and initially unexpected continuation of sequences of eigenvalues from the quasiperiodic to the stochastic regime, the origin of large second differences Δ 2Ei of eigenvalues arising from variation of a parameter, the comparison of classical and quantal spectra, and a comparison of the classical" and quantal number of states. In the study of the second differences we find both "crossings" and "avoided crossings" of the eigenvalues. We discuss the importance of overlapping avoided crossings as a basis for a possible theory of "quantum stochasticity". © 1980 American Institute of Physics."
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页码:6169 / 6175
页数:7
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