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

Reference No.	2022a019
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-
Principal Investigator	Satoshi Tanda（Hokkaido University, Department of Engineering ・Profesor）
Research Period	July 21,2022. ～ July 23,2022.
Keyword(s) of Research Fields	time operators, uncertainty principle, semiclassical approximation, quantum measurement
Abstract for Research Report	The aim of this meeting is to exchange information and opinions on the theoretical and experimental aspects of 'time, quantum measurement and semi-classical approximation'. The meeting aims to exchange information and opinions between theoretical and experimental researchers working on "time" and "the boundary between classical and quantum theory", to deepen the understanding of "time, measurement and the semi-classical approximation", and to clarify 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 in principle impossible". However, in the latter half of the 20th century, Masanao Ozawa mathematically derived Ozawa's inequality, which broke Heisenberg's uncertainty principle and caused a worldwide sensation by showing that simultaneous measurement of position and momentum is possible. In 2012, Yuji Hasegawa, then at the University of Vienna, surprised the world by experimentally verifying Ozawa's inequality, and it is still fresh in our memories that Ozawa's inequality contributed greatly to the discovery of gravitational waves in 2015. Ozawa and Hasegawa will present cutting-edge theoretical and experimental topics in quantum measurement theory. (Time) The uncertainty principle of "time" and "energy" is also believed, but its precise formulation has not yet been settled. Furthermore, W. Pauli stated publicly that "time is not an observable". However, Eric Galapon and Asao Arai mathematically demonstrated the existence of time as a self-adjoint operator, defeating Pauli's claim. Furthermore, Tanda, Nakatsugawa et al. are now experimentally attempting to prove the "Arai-Miyamoto inequality", which is a corollary of the existence of time operators. There are also many theoretical researchers of "time" in the world. There is a large group in Spain (Galapon, Egusquiza), which has published a book. Furthermore, in the laboratory, it has become possible to achieve extremely short times of attoseconds (0.35 attosecond for light to pass through the diameter of a hydrogen atom and 150 attoseconds for the orbital motion of an electron in a hydrogen atom). In quantum walks, which have recently been in the limelight, the associated time operators are also being studied. Experts in experiments and theory on "time" are invited to present cutting-edge topics. (Semi-classical approximation) In the semi-classical approximation, the classical picture is derived from the quantum picture in the limit of Planck's zero constant. The semi-classical approximation by the Wigner measure was initiated by mathematician P.L.Lions et al. and extended to infinite dimensions by Zied Ammari et al. Zied Ammari, Marco Falconi and others will give talks on the theoretical work.
Organizing Committee Members (Workshop) Participants (Short-term Joint Usage)	Fumio Hiroshima（Faculty of Mathematics, Kyushu University ・Professor） Suguru Sangu（Richo・Professor）