Selfadjointness from quantumclassical correspondence
 Date
 November 26 (Fri) at 16:00  18:00, 2021 (JST)
 Speaker

 Koichi Taira (Assistant Professor, College of Science and Engineering Department of Mathematical Sciences, Ritsumeikan University)
 Venue
 via Zoom
 Language
 English
Selfadjointness is a fundamental property of a linear operator in quantum mechanics. In physics, a selfadjoint operator is usually defined to be an operator which is own adjoint. However, this definition is in fact not satisfactory since a selfadjoint operator in this definition does not always have nice properties such as the spectral decomposition. Hence, in mathematics, a kind of completeness is also assumed in the definition of a selfadjoint operator. Here a natural question is how to judge whether an operator is selfadjoint. It has been believed that selfadjointness is closely related to completeness of the classical dynamics for a long time although a complete description of such relations has not been given so far. I am planning to talk about how selfadjointness is important in mathematical physics. Moreover, I will explain relations between selfadjointness and classical dynamics by introducing some examples.
*Please contact Keita Mikami or Hiroyasu Miyazaki's mailing address to get access to the Zoom meeting room.