On the Stochastic Origin of Quantum Mechanics
The quantum Liouville equation, which describes the phase space dynamics of a quantum system of fermions, is analyzed from stochastic point of view as a particular example of the Kramers–Moyal expansion. Quantum mechanics is extended to relativistic domain by generalizing the Wigner–Moyal equation....
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2017-09-01
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| Series: | Reports in Advances of Physical Sciences |
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| Online Access: | http://www.worldscientific.com/doi/pdf/10.1142/S2424942417500086 |
| _version_ | 1811335084443172864 |
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| author | Roumen Tsekov |
| author_facet | Roumen Tsekov |
| author_sort | Roumen Tsekov |
| collection | DOAJ |
| description | The quantum Liouville equation, which describes the phase space dynamics of a quantum system of fermions, is analyzed from stochastic point of view as a particular example of the Kramers–Moyal expansion. Quantum mechanics is extended to relativistic domain by generalizing the Wigner–Moyal equation. Thus, an expression is derived for the relativistic mass in the Wigner quantum phase space presentation. The diffusion with an imaginary diffusion coefficient is discussed. An imaginary stochastic process is proposed as the origin of quantum mechanics. |
| first_indexed | 2024-04-13T17:18:48Z |
| format | Article |
| id | doaj.art-a563adf087ed4a268c0aa1bf6eb94398 |
| institution | Directory Open Access Journal |
| issn | 2424-9424 2529-752X |
| language | English |
| last_indexed | 2024-04-13T17:18:48Z |
| publishDate | 2017-09-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | Reports in Advances of Physical Sciences |
| spelling | doaj.art-a563adf087ed4a268c0aa1bf6eb943982022-12-22T02:38:03ZengWorld Scientific PublishingReports in Advances of Physical Sciences2424-94242529-752X2017-09-01131750008-11750008-610.1142/S242494241750008610.1142/S2424942417500086On the Stochastic Origin of Quantum MechanicsRoumen Tsekov0Department of Physical Chemistry, University of Sofia, 1164 Sofia, BulgariaThe quantum Liouville equation, which describes the phase space dynamics of a quantum system of fermions, is analyzed from stochastic point of view as a particular example of the Kramers–Moyal expansion. Quantum mechanics is extended to relativistic domain by generalizing the Wigner–Moyal equation. Thus, an expression is derived for the relativistic mass in the Wigner quantum phase space presentation. The diffusion with an imaginary diffusion coefficient is discussed. An imaginary stochastic process is proposed as the origin of quantum mechanics.http://www.worldscientific.com/doi/pdf/10.1142/S2424942417500086Quantum mechanicsstochastic processesfoundations |
| spellingShingle | Roumen Tsekov On the Stochastic Origin of Quantum Mechanics Reports in Advances of Physical Sciences Quantum mechanics stochastic processes foundations |
| title | On the Stochastic Origin of Quantum Mechanics |
| title_full | On the Stochastic Origin of Quantum Mechanics |
| title_fullStr | On the Stochastic Origin of Quantum Mechanics |
| title_full_unstemmed | On the Stochastic Origin of Quantum Mechanics |
| title_short | On the Stochastic Origin of Quantum Mechanics |
| title_sort | on the stochastic origin of quantum mechanics |
| topic | Quantum mechanics stochastic processes foundations |
| url | http://www.worldscientific.com/doi/pdf/10.1142/S2424942417500086 |
| work_keys_str_mv | AT roumentsekov onthestochasticoriginofquantummechanics |