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Exact evaluation of the propagator for the damped harmonic oscillator
| Content Provider | Scilit |
|---|---|
| Author | Cheng, Bin Kang |
| Copyright Year | 1984 |
| Description | Journal: Journal of Physics A: General Physics Using the Caldirola-Kanai Hamiltonian for the quantum dissipative system, the author expresses the propagator as the modified Feynman path integral in the configuration space, which can then be evaluated for the damped harmonic oscillator by Montroll's method. The propagator of the damped harmonic oscillator can also be calculated beyond and at caustics with the help of Horvathy-Feynman formula. The new results are confirmed by investigating the classical paths joining two fixed end-point positions, Finally the author obtains the time-dependent wavefunctions from the propagator of the dynamical system. |
| Related Links | http://iopscience.iop.org/article/10.1088/0305-4470/17/12/018/pdf |
| Ending Page | 2484 |
| Page Count | 10 |
| Starting Page | 2475 |
| ISSN | 00223689 |
| DOI | 10.1088/0305-4470/17/12/018 |
| Journal | Journal of Physics A: General Physics |
| Issue Number | 12 |
| Volume Number | 17 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1984-08-21 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics A: General Physics Mathematical Physics Configuration Space Dissipative System Feynman Path Integral Dynamic System Harmonic Oscillator |
| Content Type | Text |
| Resource Type | Article |