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[Somogyi Gábor <somogyi.gabor AT wigner.hun-ren.hu>]

Wigner FK RMI Elméleti Osztály Szemináriuma
Tisztelettel meghívjuk


        Prof. Shidong Liang
        (School of Physics, Sun Yat-sen University, Guangzhou, China)


"Noncanonical Features of Noncommutative Quantum Mechanics”


címmel tartandó szemináriumára.


Kivonat:



We explore the interplay among noncommutativity, noncanonicality, and 
observability in quantum mechanics based on an extended Heisenberg 
algebra. Using the Bopp shift technique, we develop a unified framework 
in which noncommutative and noncanonical effects are systematically 
incorporated into quantum operators. The resulting framework leads to 
modified Schrödinger, Klein–Gordon, Dirac, and Pauli equations and 
provides a systematic description of their observable consequences. We 
introduce an energy-dependent parameterization scheme to explore 
possible connections between noncommutative quantum effects and several 
fundamental problems, including dark energy and quantum decoherence. We 
also show that the extended algebra can generate anomalous velocity and 
acceleration for free particles, offering a possible quantum-mechanical 
perspective on the accelerated expansion of the Universe. Furthermore, 
noncommutativity gives rise to novel quantum fluctuations and 
generalized uncertainty relations beyond the standard Heisenberg form. 
Our results indicate that noncommutativity and noncanonicality may have 
genuine observable consequences, suggesting new connections between 
extended quantum mechanics and cosmology.


Helye: Wigner FK RMI III. ép. Tanácsterem
Ideje: 2026 szeptember 21. hétfő d.u. 14 óra [SZOKÁSOSTÓL ELTÉRŐ IDŐPONT]

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                  Somogyi Gábor