Periodic librations and their effect on the quantum energy spectrum (Q917109)
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scientific article; zbMATH DE number 4155501
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic librations and their effect on the quantum energy spectrum |
scientific article; zbMATH DE number 4155501 |
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Periodic librations and their effect on the quantum energy spectrum (English)
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1990
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Hamiltonian systems with time-reversal symmetry may possess two different types of periodic orbits: symmetry pairs with respect to time reversal (called rotations) and self-symmetric orbits (called librations). The former dominate for integrable anharmonic oscillators with two degrees of freedom. It is analyzed how their situation is altered by KAM-type perturbation in such a way that a finite fraction of the orbits with low periods become librations. The generic bifurcations are investigated as well as their unfolding due to breaking of time-reversal symmetry. Relations to quantum mechanics and anti-unitary symmetries are briefly discussed.
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Hamiltonian systems
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periodic orbits
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perturbation
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bifurcations
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