Дата: 14.01.2025 г., 14:00 ч.

Място: Зала 403, ИМИ – БАН

Докладчик: Jean-Pierre Gazeau от Université Paris-Cité

Доклад: Regularized Quantum Motion in a Bounded Set: Hilbertian Aspects

Допълнителна информация: https://icms.bg/regularized-quantum-motion-in-a-bounded-set-hilbertian-aspects-talk-by-jean-pierre-gazeau/

Резюме. It is well known that the momentum operator canonically conjugated to the position operator for a particle confined within a bounded interval of the line (with Dirichlet boundary conditions) is not essentially self-adjoint, as it possesses a continuum of self-adjoint extensions. In this talk, we demonstrate that essential self-adjointness can be restored by symmetrically weighting the momentum operator with a positive bounded function that approximates the indicator function of the given interval. This weighted momentum operator arises naturally from a similarly weighted classical momentum through the Weyl-Heisenberg covariant integral quantization of functions or distributions.

Reference:
F. Bagarello, J.-P. Gazeau, C. Trapani, J. Math. Anal. Appl. 540 (2024) 128631