Regular and irregular spectra

1 September 1973

journal article
Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics

Vol. 6 (9), L229-L232
https://doi.org/10.1088/0022-3700/6/9/002

Abstract

In the semi-classical limit, the quantal energy spectrum of a dynamical system of N degrees of freedom consists of two parts with strongly contrasting properties: a regular and an irregular part. Properties of vibrational spectra of molecules are predicted.

Keywords

This publication has 6 references indexed in Scilit:

Modern ergodic theory
Physics Today, 1973
Orbits in Highly Perturbed Dynamical Systems. 111. Nonperiodic Orbits
The Astronomical Journal, 1971
Amplitude Instability and Ergodic Behavior for Conservative Nonlinear Oscillator Systems
Physical Review B, 1969
The applicability of the third integral of motion: Some numerical experiments
The Astronomical Journal, 1964
PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
Russian Mathematical Surveys, 1963
Corrected bohr-sommerfeld quantum conditions for nonseparable systems
Annals of Physics, 1958

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