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

• Nagai Nobuo

  Hokkaido University

• Yahagi Takashi

  Signal Processing Technology Laboratory

Bibliographic Information

Other Title

• 12. Modified Dirac Equation Exchanging Reactive Power for Mass of Particles

Abstract

In Session 10, we showed that the telegrapher's equations can be extended using the Riccati differential equation and that a new circuit element can be obtained. In Session 11, we showed that the Dirac equation, which is used in quantum theory, can be expressed as the extended telegrapher's equations and that circuit theory can be applied to the Dirac equation. In this session, we demonstrate that a new circuit element can be obtained by applying reactive power to the Dirac equation. In this case, energy given by Einstein's well-known formula E = mc² should be considered for the discussion on an ordinary world that does not require the theory of relativity.

Journal

• Journal of Signal Processing

  Journal of Signal Processing 22 (1), 17-23, 2018

  Research Institute of Signal Processing, Japan

Keywords

• Dirac equation
• Riccati differential equation
• reactive power
• modified Dirac equation
• extended telegrapher's equation
• voltage and current
• Laplace transform

Details

• CRID: 1390001204463276032
• NII Article ID: 130006319098
• DOI: 10.2299/jsp.22.17
• ISSN: 18801013
• ISSN: 13426230
• Web Site: https://www.jstage.jst.go.jp/article/jsp/22/1/22_17/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed