Semiclassical Approach for Bifurcations in a Smooth Finite-Depth Potential
| Autor: | Alexander G. Magner, Sergey N. Fedotkin, Ken-ichiro Arita |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) Integrable system Semiclassical physics Nonlinear Sciences::Chaotic Dynamics symbols.namesake Classical mechanics Cascade Quantum mechanics Path integral formulation symbols Rectangular potential barrier Hamiltonian (quantum mechanics) Quantum Bifurcation |
| Zdroj: | Progress of Theoretical Physics. 115:523-546 |
| ISSN: | 1347-4081 0033-068X |
| Popis: | The analytical trace formula for a dense cascade of bifurcations was derived using the improved stationary phase method based on extensions of the semiclassical Gutzwiller path integral approach. For the integrable version of the famous Henon-Heiles Hamiltonian, our analytical trace formula solves all bifurcation problems, in particular, in the harmonic oscil- lator limit and the potential barrier limit. We obtain nice agreement with quantum results for gross to finer shell structures in level densities and for the shell structure energies, even near the potential barrier where there is a rather dense sequence of bifurcations. |
| Databáze: | OpenAIRE |
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