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Artikel
Narrow- tube approximation of semiclassical quasi energies: - application to the weakly non-linear Duffing oscillators.
| Författare: |
Thylwe, K.-E., Bensch, F. |
| Dokumenttyp: |
Artikel |
| Tillstånd: |
Publicerad |
| Tidskrift: |
J. Phys. A: Math. Gen. |
| Volym: |
27
5673-5684 |
| År: |
1994 |
AbstractAn exact transformation of semiclassical quantization conditions determining quantal quasi-energies of time-periodic Hamiltonian systems is suggested. For motion on vortex tubes centred at stable periodic orbits the classical quasi-energy of the underlying periodic orbit separates out as a single term which is a lower bound for the quantized quasi-energies. A particular approximation involving the classical Lewis invariant for calculating semiclassical quasi-energies near the centre of a perturbed linear response is discussed in some detail.
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