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Quantization of Underdamped, Critically Damped, and Overdamped Electric Circuits with a Power Source

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Abstract

We have investigated the quantum mechanical effect of the underdamped, critically damped, and overdamped electric circuits with a power source. The charge of the underdamped circuit oscillates while those of the critically damped and overdamped ones don't. The wave function of the system of overdamped circuit represented parabolic cylinder function while underdamped circuit was represented by well-known Hermite polynomial. The eigenvalues of underdamped circuit is discrete while those of the critically damped and overdamped ones are given as continuously.

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Authors and Affiliations

  1. Department of Electronic Physics, College of Natural Science, Hankuk University of Foreign Studies, Yongin, 449–791, South Korea

    Jeong-Ryeol Choi

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  1. Jeong-Ryeol Choi
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Choi, JR. Quantization of Underdamped, Critically Damped, and Overdamped Electric Circuits with a Power Source. International Journal of Theoretical Physics 41, 1931–1939 (2002). https://doi.org/10.1023/A:1021056924059

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  • DOI: https://doi.org/10.1023/A:1021056924059

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