第141回

日時 Time

2026年5月19日（火）16:30–18:00

場所 Place

金沢大学自然科学５号館数学棟４階コロキウム
NST Hall 5, Math building, 4th floor, Colloqium room

講演者 Speaker

Valentin A. Zagrebnov（Institut de Mathématiques de Marseille, France）

タイトル Title

Bose-Einstein Condensation as a Mathematical Challenge

概要 Abstract

A mathematical analysis of the Bose-Einstein condensation (A. Einstein, 1925) by G. Uhlenbeck (1927) called this phenomenon (in the ideal Bose-gas) into question until 1938, when it was solved by F. London. Since that time mathematicians and mathematical physicists, besides rigrous descriptions of this phenomenon (via permanental random processes, or C^*-algebra approach, etc), proposed also generalisions of the Bose-Einstein condensation, which are observable even experimentally. Another aspect is a rigorous analysis of Bose-Einstein condensation in a non-ideal Bose-gas of interacting particles . The mathematical proof of existence the Bose-Einstein condensation in the system of bosons with a bona fide two-body interaction is still absent. This talk has the aim to give a brief overview of the facts mentioned above.