Presentation 1999/9/22
Lossless Circuit Models for One-Dimensional Wave Equations in Quantum Mechanics
Masakiyo Suzuki, Hirofumi Sanada, Kunihiko Asakura, Nobuo Nagai,
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Abstract(in English) This paper shows that the necessary and sufficient condition for one-dimensional wave equations in quantum mechanics to meet the conservation law of probability is that there exist lossless circuit models for the wave equations. Where it is supposed that the square of wave number is represented as a rational function of energy. This paper also shows the procedure to derive a wave equation from its E-k relation using the circuit model.
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Keyword(in English) E-k relation / circuit model / mesoscopic model / conservation of probability / conservation of energy
Paper # NLP99-95
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Conference Information
Committee NLP
Conference Date 1999/9/22(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Lossless Circuit Models for One-Dimensional Wave Equations in Quantum Mechanics
Sub Title (in English)
Keyword(1) E-k relation
Keyword(2) circuit model
Keyword(3) mesoscopic model
Keyword(4) conservation of probability
Keyword(5) conservation of energy
1st Author's Name Masakiyo Suzuki
1st Author's Affiliation Research Institute for Electronic Science, Hokkaido University()
2nd Author's Name Hirofumi Sanada
2nd Author's Affiliation Research Institute for Electronic Science, Hokkaido University
3rd Author's Name Kunihiko Asakura
3rd Author's Affiliation Research Institute for Electronic Science, Hokkaido University
4th Author's Name Nobuo Nagai
4th Author's Affiliation Research Institute for Electronic Science, Hokkaido University
Date 1999/9/22
Paper # NLP99-95
Volume (vol) vol.99
Number (no) 324
Page pp.pp.-
#Pages 8
Date of Issue