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Path integration of the time-dependent forced oscillator with a two-time quadratic action (1986)

Zhang, Tian Rong ; Cheng, Bin Kang

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 27 (1986), S. 767-771

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: Using the prodistribution theory proposed by DeWitt-Morette [C. DeWitt-Morette, Commun. Math. Phys. 28, 47 (1972); C. DeWitt-Morette, A. Maheshwari, and B. Nelson, Phys. Rep. 50, 257 (1979)], the path integration of a time-dependent forced harmonic oscillator with a two-time quadratic action has been given in terms of the solutions of some integrodifferential equations. We then evaluate explicitly both the classical path and the propagator for the specific kernel introduced by Feynman in the polaron problem. Our results include the previous known results as special cases.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.527181

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