UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-23 17:51

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Conference: Bucharest University Faculty of Physics 2022 Meeting


Section: Theoretical Physics and Applied Mathematics


Title:
Exploring the role of Dynamical Symmetries on Quantum Dynamics


Authors:
Alexandru PENCU, Virgil BARAN, Roxana ZUS


Affiliation:
University of Bucharest, Faculty of Physics, Atomistilor 405, Magurele-Bucharest, P.O.Box MG-11 Romania


E-mail
alexandrupencu10@gmail.com


Keywords:
Dynamical symmetries, Lie group, Lie algebra, Constants of motion


Abstract:
We investigate the properties of quantum systems characterized by central field dynamics which manifest dynamical symmetries evidencing the connection between the group structure, the corresponding Lie algebra and the conserved quantities.


References:

Walter Greiner - Quantum Mechanics (An Introduction)

Morse and Feshbach - Methods of Theoretical Physics volume 1&2

Walter Greiner, Berndt Muller - Quantum Mechanics, Symmetries

Leonard I.Schiff - Quantum Mechanics

Silvan S. Schweber - An Introduction to Relativistic Quantum Field Theory