Семинар на Жан-Пиер Газо

На 16.01.2025 г. (четвъртък), от 13:15 ч. в зала 300 на ИЯИЯЕ, Jean-Pierre Gazeau (Париж, Франция) ще изнесе доклад на тема:

"Universality of the Weyl-Heisenberg symmetry and its covariant quantizations"

Резюме:
  The Weyl-Heisenberg symmetries originate from translation invariances of various manifolds viewed as phase spaces, e.g. Euclidean plane, semi-discrete cylinder, torus, in the two-dimensional case, and higher-dimensional generalisations. In this review we describe, on an elementary level, how this symmetry emerges through displacement operators and standard Fourier analysis, and how their unitary representations are used both in nal Analysis (time-frequency techniques, Gabor transform) and in quantum formalism (covariant integral quantizations and semi-classical portraits (e.g. Husimi). Examples for other symmetry groups will be sketched.

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