Semiclassical calculation of bound states in multidimensional systems with Fermi resonance

Journal Article · Mon Oct 01 00:00:00 EDT 1979 · J. Chem. Phys.; (United States)

DOI:https://doi.org/10.1063/1.438677· OSTI ID:5997274

Noid, D W; Koszykowski, M L; Marcus, R A

A method is devised to calculate eigenvalues semiclassically for an anharmonic system whose two unperturbed modes are 2:1 degenerate. For some special states the periodic energy exchange between unperturbed modes is found to be very large. The quantum mechanical wave functions are examined and a correlation with the classical trajectories is described, both for quasiperiodic and the stochastic cases. A method used in the literature for calculating the stochastic limit is tested and found to break down when the present anharmonic system is separable.

• Research Organization: Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830
• OSTI ID: 5997274
• Journal Information: J. Chem. Phys.; (United States), Journal Name: J. Chem. Phys.; (United States) Vol. 71:7; ISSN JCPSA
• Country of Publication: United States
• Language: English

Related Subjects

640305* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Theory-- (-1987)
74 ATOMIC AND MOLECULAR PHYSICS
BOUND STATE
EIGENVALUES
ENERGY LEVELS
EXCITED STATES
FERMI RESONANCE
FUNCTIONS
MECHANICS
MOLECULES
QUANTUM MECHANICS
RESONANCE
SEMICLASSICAL APPROXIMATION
VIBRATIONAL STATES
WAVE FUNCTIONS