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Generalized Berry phase for the most general time-dependent damped harmonic oscillator
| Content Provider | Scilit |
|---|---|
| Author | Kobe, D. H. |
| Copyright Year | 1991 |
| Description | Journal: Journal of Physics A: General Physics The most general time-dependence Hamiltonian for a harmonic oscillator is both linear and quadratic in the coordinate and the canonical momentum. It describes in general a harmonic oscillator with a time-dependent mass, a time-dependent friction (or antifriction) 'constant', and a time-dependent spring constant, acted upon by a time-dependent force. The energy, whose time derivative is the power, is in general different from the Hamiltonian. The generalized Berry phase for a given energy eigenstate has a state-dependent part, which vanishes if there is no damping, and an arbitrary state-independent part. If the Hamiltonian is identified as the energy, both the energy eigenvalues and the generalized Berry phase are different. In the adiabatic limit both approaches give the same total phase, which is the sum of the dynamical and Berry phases. |
| Related Links | http://iopscience.iop.org/article/10.1088/0305-4470/24/12/015/pdf |
| Ending Page | 2773 |
| Page Count | 11 |
| Starting Page | 2763 |
| ISSN | 00223689 |
| DOI | 10.1088/0305-4470/24/12/015 |
| Journal | Journal of Physics A: General Physics |
| Issue Number | 12 |
| Volume Number | 24 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1991-06-21 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics A: General Physics Mathematical Physics Generation Time Harmonic Oscillator Berry Phase |
| Content Type | Text |
| Resource Type | Article |
