Theory and experiment for time, quantum measurement and semiclassical approximation-interface between classical and quantum theory-【Cancel】

Reference No.	20200014
Type/Category	Grant for General Research-Workshop（Ⅰ）
Title of Research Project	Theory and experiment for time, quantum measurement and semiclassical approximation-interface between classical and quantum theory-【Cancel】
Principal Investigator	Satoshi Tanda（Center of Education & Research for Toplogica Science & Technology. Hokkaido University・Professor）
Research Period	February 16,2022. - February 17,2022.
Keyword(s) of Research Fields	time operators, uncertainty principle, semiclassical approximation, quantum measurement
Abstract for Research Report	The purpose of this workshop is to exchange information and opinions on philosophy, theory, experiments and applications of "time, quantum measurement and quasi-classical approximation". We hope that theoretical and experimental researchers working on "time" and "the boundary between classical and quantum theories" will exchange information and opinions, deepen their understanding of "time, measurement, and quasi-classical approximation", and clarify the problems and theoretical issues to contribute to the industry. (Quantum measurement) Heisenberg, the founder of quantum mechanics, discovered the uncertainty principle in 1927. The shocking consequence of this discovery was that "simultaneous measurement of position and momentum is impossible in principle". However, Masanao Ozawa mathematically derived the "Ozawa inequality" and caused a sensation in the world by showing that Heisenberg uncertainty principle was broken and simultaneous measurement of position and momentum was possible. In 2012, Yuji Hasegawa, then at the Vienna University of Technology and Hokkaido University, surprised the world by verifying "Ozawa inequality" using neutron beams, and it is still fresh in our memory that "Ozawa inequality" also made a significant contribution to the discovery of gravitational waves in 2015. (Time) "Time" is also believed to have an uncertainty principle with energy, but its exact statement has not been determined yet, and furthermore, Pauli declared that "time is not an observable". However, Eric Galapon and Asao Arai mathematically demonstrated the existence of time as a self-adjoint operator, and Pauli's claim was defeated. Furthermore, Tanda, Nakatsugawa, and others are now attempting to demonstrate the "Arai-Miyamoto inequality", which is a corroboration of the existence of time, using time crystals. There are also many theoretical researchers of time in the world. In Spain, there is a large group (Galapon, Egusquiza) which also publishes books. Moreover, in the laboratory, it has become possible to realize a very short time of atto-seconds (0.35 atto-seconds for light to pass through the diameter of a hydrogen atom, and 150 atto-seconds for an electron in a hydrogen atom to move around). In addition, research on time operators associated with quantum walks, which have recently attracted much attention, is in progress. Experts in the field of experiments and theories of "time" will provide us with the latest topics. (Semi-classical approximation) In the semi-classical approximation, the classical picture is derived from the quantum picture in the limit of Planck's constant zero. The semi-classical approximation by the Wiener measure was initiated by the mathematician P.L. Lions and others, and Z. Ammari and others extended it to infinite dimensions. Z. Ammari, M. Falconi and others will give talks from theoretical point of view.
Organizing Committee Members (Workshop) Participants (Short-term Joint Usage)	Suguru Sangu（RICOH・Researcher） Satoshi Tanda（Hokkaido University・Professor） Fumio Hiroshima（Kyushu University・Professor）