On the existence of semiclassical eigenvalues for irregular spectra
- 1 April 1976
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 64 (7) , 2880-2883
- https://doi.org/10.1063/1.432590
Abstract
It is shown that the semiclassical limit of eigenvalues for a multidimensional system can exist even when a complete set of ’’good’’ action variables (i.e., quantum numbers) do not.Keywords
This publication has 13 references indexed in Scilit:
- Semiclassical eigenvalues for nonseparable systems: Nonperturbative solution of the Hamilton–Jacobi equation in action-angle variablesThe Journal of Chemical Physics, 1976
- Semiclassical quantization of nonseparable systems: A new look at periodic orbit theoryThe Journal of Chemical Physics, 1975
- Semiclassical calculation of bound states in a multidimensional system. Use of Poincaré’s surface of sectionThe Journal of Chemical Physics, 1975
- Variational principles for the invariant toroids of classical dynamicsJournal of Physics A: Mathematical, Nuclear and General, 1974
- Regular and irregular spectraJournal of Physics B: Atomic and Molecular Physics, 1973
- Semiclassical Approximation of Multidimensional Bound StatesThe Journal of Chemical Physics, 1972
- Asymptotic solution of eigenvalue problemsAnnals of Physics, 1960
- Corrected bohr-sommerfeld quantum conditions for nonseparable systemsAnnals of Physics, 1958
- New Developments in Molecular Orbital TheoryReviews of Modern Physics, 1951
- Remarques sur la mécanique ondulatoireJournal de Physique et le Radium, 1926