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A matter wave thought experiment concerning Galilean transformations

Published by International Journal of Quantum Foundations on September 30, 2015

Volume 1, Issue 4, pages 185-198

Takeshi Yamaguchi [Show Biography]

Takeshi Yamaguchi was born in Maebashi City of Japan. After obtaining his degree in physics from Tohoku University, he joined to the research laboratory of Nikon. He studied light scattering from optical parts or various materials and after that he was in charge of research and development related to the semiconductor lithography for long time. He managed various research project, for example, the electron beam lithography development cooperated with IBM. He has been a vice president of Nikon Research Center of America and the director of research laboratory of Nikon precision department. He has been a visiting professor of Tohoku University in optics and quantum optics during industrial activity. He joined to Tokyo Institute of Technology in 2004 as a designated professor of nano-technology government project.

The Schrödinger equation is invariant under Galilean transformations. Therefore, a matter wave should undergo the Doppler effect in the same manner as a classical wave and it should be observed when the measurement apparatus, i.e., the interferometer, moves with some velocity in the laboratory reference frame. Similarly, wave-like characteristics can be expected to appear if the measurement apparatus moves with the same velocity relative to the original particle, despite the fact that the particle is at rest in the laboratory reference frame. This paper provides a proposal for a simple thought experiment related to the reference frame dependence of the wave-particle duality using current matter wave optics technology.

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Posted in Volume 1, Issue 4, October 2015 Tagged Original Paper

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