Wigner function of a relativistic particle in a time-dependent linear potential
| Autor: | Sh. M. Nagiyev |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Statistical and Nonlinear Physics Wigner semicircle distribution 01 natural sciences 010305 fluids & plasmas Relativistic particle Amplitude Classical mechanics 0103 physical sciences Energy level Wigner distribution function Limit (mathematics) 010306 general physics Constant (mathematics) Mathematical Physics Stationary state |
| Zdroj: | Theoretical and Mathematical Physics. 188:1030-1037 |
| ISSN: | 1573-9333 0040-5779 |
| DOI: | 10.1134/s0040577916070059 |
| Popis: | We construct phase-space representations for a relativistic particle in both a constant and a time-dependent linear potential. We obtain explicit expressions for the Wigner distribution functions for these systems and find the correct nonrelativistic limit and free-particle limit for these functions. We derive the relativistic dynamical equation governing the time development of the Wigner distribution function and relativistic equation for the Wigner distribution function of stationary states and also calculate the amplitudes of transitions between energy states. |
| Databáze: | OpenAIRE |
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