Time-dependent propagator for an-harmonic oscillator with quartic term in potential
نویسندگان
چکیده
In this work, we present the analytical approach for evaluation of conditional measure Wiener path integral. We consider time-dependent model parameters. find differential equation variable, determining behavior harmonic as well an-harmonic parts oscillator. part result in form operator function.
منابع مشابه
Propagator for the time-dependent harmonic oscillator.
The propagator for a harmonic oscillator with general time-dependent mass and frequency matrices is constructed from the Van-Vleck/Morette formula. The explicit form of the classical action, and thus of the propagator, is found in terms of infinite series which are solutions to a set of differential equations. Those equations are found independently via the Hamilton-Jacobi equation, and by comp...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2021
ISSN: ['0022-2488', '1527-2427', '1089-7658']
DOI: https://doi.org/10.1063/5.0018545