Classical Dynamics of Quantum Numbers with Arrow of Time
| dc.creator | Asadov, Vadim V. | |
| dc.creator | Kechkin, Oleg V. | |
| dc.date | 2007-02-03 | |
| dc.date | 2007-02-06 | |
| dc.date.accessioned | 2026-07-07T07:44:42Z | |
| dc.date.available | 2026-07-07T07:44:42Z | |
| dc.description | We study a quantum theory with complex time parameter and non-Hermitian Hamiltonian structure. In this theory, the real part of the complex time is equal to `usual' physical time, whereas the imaginary one is proportional to inverse absolute temperature of the system. Then, the Hermitian part of the Hamiltonian coincides with conventional operator of energy; the anti-Hermitian part, which is taken as a symmetry operator, defines decay parameters of the theory. We integrate the equations of motion in a Hamiltonian proper basis, and detect a classical dynamics of the corresponding quantum numbers, using their continuous approximation and the zero limit of the Plank's constant. It is proved, that this dynamics possesses a well defined arrow of time in the isothermal and adiabatic regimes of the thermodynamical evolution of the system. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0702022 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0702022 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123294 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Classical Dynamics of Quantum Numbers with Arrow of Time | |
| dc.type | text |