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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 188, Number 1, Pages 76–84
DOI: https://doi.org/10.4213/tmf9014 (Mi tmf9014) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Wigner function of a relativistic particle in a time-dependent linear potential

Sh. M. Nagiyev

Institute of Physics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
Full-text PDF (375 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9014
Abstract: 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.
Keywords: relativistic particle, linear potential, Wigner function, dynamical equation.
Funding agency
This research is supported by the Science Development Foundation under the President of the Republic of Azerbaijan (Research Grant No. EIF-2012-2(6)-39/08/1).
Received: 23.07.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 188, Issue 1, Pages 1030–1037
DOI: https://doi.org/10.1134/S0040577916070059
Bibliographic databases:
Document Type: Article
PACS: 02.30.Gp, 03.65.Pm, 03.65.Vf
Language: Russian
Citation: Sh. M. Nagiyev, “Wigner function of a relativistic particle in a time-dependent linear potential”, TMF, 188:1 (2016), 76–84; Theoret. and Math. Phys., 188:1 (2016), 1030–1037
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9014
  • https://doi.org/10.4213/tmf9014
  • https://www.mathnet.ru/eng/tmf/v188/i1/p76
    • This publication is cited in the following 3 articles:
    1. Sh. M. Nagiyev, A. I. Akhmedov, “Time evolution of quadratic quantum systems: Evolution operators, propagators, and invariants”, Theoret. and Math. Phys., 198:3 (2019), 392–411  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. Sh. M. Nagiyev, A. I. Ahmadov, V. A. Tarverdiyeva, Sh. A. Amirova, “Regarding nonstationary quadratic quantum systems”, Russ. Phys. J., 61:12 (2019), 2173–2187  crossref  isi
    3. Sh. M. Nagiyev, “Using the evolution operator method to describe a particle in a homogeneous alternating field”, Theoret. and Math. Phys., 194:2 (2018), 313–327  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:82
    First page:24
     
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