Path integration of the harmonic oscillator with a two-time quadratic action |
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Authors: | Bin Kang Cheng |
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Institution: | Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19.081, 80.000 Curitiba, Paraná, Brazil |
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Abstract: | Path integration of the harmonic oscillator with a two-time quadratic action characterizing memory effects is given in terms of the solutions of some integrodifferential equations. The exact propagator in closed form is then obtained for the specific kernel introduced by Feynman in the polaron problem. |
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