Coherent distributions for the rigid rotator
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2015
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| _version_ | 1866908645513494528 |
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| author | Grigorescu, M. |
| author_facet | Grigorescu, M. |
| contents | Coherent solutions of the classical Liouville equation for the rigid rotator are presented as positive phase-space distributions associated with the Lagrangian submanifolds of Hamilton-Jacobi theory. These solutions become Wigner-type quasiprobability distributions by a formal discretization of the left-invariant vector fields from their Fourier transform in angular momentum. The results are consistent with the usual quantization of the anisotropic rotator, but the expected value of the Hamiltonian contains a finite "zero point" energy term. It is shown that during the time when a quasiprobability distribution evolves according to the Liouville equation, the related quantum wave function should satisfy the time-dependent Schroedinger equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1504_04832 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Coherent distributions for the rigid rotator Grigorescu, M. Quantum Physics Mathematical Physics Coherent solutions of the classical Liouville equation for the rigid rotator are presented as positive phase-space distributions associated with the Lagrangian submanifolds of Hamilton-Jacobi theory. These solutions become Wigner-type quasiprobability distributions by a formal discretization of the left-invariant vector fields from their Fourier transform in angular momentum. The results are consistent with the usual quantization of the anisotropic rotator, but the expected value of the Hamiltonian contains a finite "zero point" energy term. It is shown that during the time when a quasiprobability distribution evolves according to the Liouville equation, the related quantum wave function should satisfy the time-dependent Schroedinger equation. |
| title | Coherent distributions for the rigid rotator |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/1504.04832 |