Semiclassical quantization of Nonseparable Hamiltonian Systems
Abstract
The methods for the primitive and uniform semiclassical quantization of nonseparable Hamiltonian systems are developed. The transformation of integrable nonseparable Hamiltonians to angle action variables by a sequence of Van Vleck transformations is described. The calculation of the primitive semiclassical eigenvalues by evaluating the transformed Hamiltonian at the quantized values of the actions is discussed. The uniform semiclassical eigenvalues, found by numerical evaluation of the uniform semiclassical quantization condition are calculated.
 Publication:

Ph.D. Thesis
 Pub Date:
 February 1979
 Bibcode:
 1979PhDT........11J
 Keywords:

 Atomic Physics;
 Hamiltonian Functions;
 Measure And Integration;
 Approximation;
 Eigenvalues;
 Integral Calculus;
 Transformations (Mathematics);
 Atomic and Molecular Physics