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 |
| Summary: | 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. |
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| ISSN: | 2424-9424 2529-752X |