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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART:20250330T010000
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DTSTART;TZID=Europe/Sofia:20250114T140000
DTEND;TZID=Europe/Sofia:20250114T153000
DTSTAMP:20260418T074051
CREATED:20250113T165353Z
LAST-MODIFIED:20250113T165353Z
UID:17234-1736863200-1736868600@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата: 14.01.2025 г.\, 14:00 ч. \nМясто: Зала 403\, ИМИ – БАН \nДокладчик: Jean-Pierre Gazeau от Université Paris-Cité \nДоклад: Regularized Quantum Motion in a Bounded Set: Hilbertian Aspects \nДопълнителна информация: https://icms.bg/regularized-quantum-motion-in-a-bounded-set-hilbertian-aspects-talk-by-jean-pierre-gazeau/ \nРезюме. 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. \nReference:\nF. Bagarello\, J.-P. Gazeau\, C. Trapani\, J. Math. Anal. Appl. 540 (2024) 128631
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-25/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
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