Wave function of classical particle in linear potential
We study the problem of classical particle in linear potential using the formalism of Hilbert space and tomographic-probability distribution. We solve the Liouville equation for this problem by finding the density matrix satisfying a von Newmann-like equation in the form of a product of the wave fun...
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| Veröffentlicht in: | Journal of Russian laser research 2013-05, Vol.34 (3), p.239-246 |
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| container_end_page | 246 |
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| container_issue | 3 |
| container_start_page | 239 |
| container_title | Journal of Russian laser research |
| container_volume | 34 |
| creator | Avanesov, Ashot S. Man’ko, Vladimir I. |
| description | We study the problem of classical particle in linear potential using the formalism of Hilbert space and tomographic-probability distribution. We solve the Liouville equation for this problem by finding the density matrix satisfying a von Newmann-like equation in the form of a product of the wave functions. We discuss the relation of the classical solution obtained to quantum mechanics. |
| doi_str_mv | 10.1007/s10946-013-9347-6 |
| format | Article |
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| fulltext | fulltext |
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| ispartof | Journal of Russian laser research, 2013-05, Vol.34 (3), p.239-246 |
| issn | 1071-2836 1573-8760 |
| language | eng |
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| source | SpringerNature Journals |
| subjects | Density Formalism Hilbert space Lasers Liouville equations Mathematical analysis Microwaves Optical Devices Optics Photonics Physics Physics and Astronomy Quantum mechanics RF and Optical Engineering Wave functions |
| title | Wave function of classical particle in linear potential |
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