Circuit Theory Based on New Concepts and Its Application to Quantum Theory

Circuit theory, which explains the behavior of electromagnetic waves, concerns reflection waves caused by the difference in impedance. In this session, we demonstrate that electromagnetic waves with the angular frequency of nπ or nπ + π/2 exhibit interesting behavior in circuits with a high impedance ratio and a large amount of reflection. The physical phenomenon of increasing the amount of reflection is considered to be the same as the tunneling effect in quantum mechanics. This demonstration shows that the application of the telegrapher's equations expressing the electromagnetic fields and waves of the Maxwell equations to quantum mechanics may provide a clue to seeing the light at the end of the mysterious tunnel in quantum mechanics.

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Publication Details

Journal
Journal of Signal Processing
Published
2025-02-28
DOI
https://doi.org/10.2299/jsp.29.45
Primary Topic
Quantum Computing Algorithms and Architecture
Type
article
Field-Weighted Citation Impact
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article

Circuit Theory Based on New Concepts and Its Application to Quantum Theory

Hirofumi Sanada, Takashi Yahagi, Nobuo Nagai
Journal of Signal Processing
Quantum Computing Algorithms and Architecture
article

Circuit Theory Based on New Concepts and Its Application to Quantum Theory

Hirofumi Sanada, Takashi Yahagi, Nobuo Nagai
article en

Abstract

Circuit theory, which explains the behavior of electromagnetic waves, concerns reflection waves caused by the difference in impedance. In this session, we demonstrate that electromagnetic waves with the angular frequency of nπ or nπ + π/2 exhibit interesting behavior in circuits with a high impedance ratio and a large amount of reflection. The physical phenomenon of increasing the amount of reflection is considered to be the same as the tunneling effect in quantum mechanics. This demonstration shows that the application of the telegrapher's equations expressing the electromagnetic fields and waves of the Maxwell equations to quantum mechanics may provide a clue to seeing the light at the end of the mysterious tunnel in quantum mechanics.

Journal of Signal ProcessingVol. 29(2)
Hokkaido University of Science (JP), Hokkaido University (JP), Signal Processing (United States) (US)
Openalex Percentile: Top 98%
Quantum Computing Algorithms and Architecture
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Circuit Theory Based on New Concepts and Its Application to Quantum Theory — Hirofumi Sanada, Takashi Yahagi, et al. · Journal of Signal Processing (2025) | TGRS Research Map | TGRS