A path-integral approach to expectation values in time-dependent problems
Within the framework of Feynman path integration, expectation values of quantum mechanical operators may be exactly obtained for a class of time-dependent problems. Attention is focused on the two-dimensional motion of a charged particle in a perpendicular magnetic field with a time-dependent drivin...
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th-mahidol.96112018-02-27T11:30:18Z A path-integral approach to expectation values in time-dependent problems J. Poulter Mahidol University Mathematics Physics and Astronomy Within the framework of Feynman path integration, expectation values of quantum mechanical operators may be exactly obtained for a class of time-dependent problems. Attention is focused on the two-dimensional motion of a charged particle in a perpendicular magnetic field with a time-dependent driving force. A harmonic oscillator potential is included to ensure that the corresponding density matrix is properly defined although some expectation values are defined without it. This potential is at least a mathematical convenience. Some discussion concerning the conditions under which steady states may be attained is also included. 2018-02-27T04:27:17Z 2018-02-27T04:27:17Z 1994-12-01 Article Journal of Physics A: Mathematical and General. Vol.27, No.13 (1994), 4645-4652 10.1088/0305-4470/27/13/037 03054470 2-s2.0-36149031217 https://repository.li.mahidol.ac.th/handle/123456789/9611 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=36149031217&origin=inward |
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Mathematics Physics and Astronomy J. Poulter A path-integral approach to expectation values in time-dependent problems |
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Within the framework of Feynman path integration, expectation values of quantum mechanical operators may be exactly obtained for a class of time-dependent problems. Attention is focused on the two-dimensional motion of a charged particle in a perpendicular magnetic field with a time-dependent driving force. A harmonic oscillator potential is included to ensure that the corresponding density matrix is properly defined although some expectation values are defined without it. This potential is at least a mathematical convenience. Some discussion concerning the conditions under which steady states may be attained is also included. |
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Mahidol University |
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Mahidol University J. Poulter |
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Article |
| author |
J. Poulter |
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J. Poulter |
| title |
A path-integral approach to expectation values in time-dependent problems |
| title_short |
A path-integral approach to expectation values in time-dependent problems |
| title_full |
A path-integral approach to expectation values in time-dependent problems |
| title_fullStr |
A path-integral approach to expectation values in time-dependent problems |
| title_full_unstemmed |
A path-integral approach to expectation values in time-dependent problems |
| title_sort |
path-integral approach to expectation values in time-dependent problems |
| publishDate |
2018 |
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https://repository.li.mahidol.ac.th/handle/123456789/9611 |
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1763492007750139904 |