Journal of Physics A: Mathematical and General. Vol.27, No.13 (1994), 4645-4652
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J. Poulter A path-integral approach to expectation values in time-dependent problems. Journal of Physics A: Mathematical and General. Vol.27, No.13 (1994), 4645-4652. doi:10.1088/0305-4470/27/13/037 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/9611
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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 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.
