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SUMMARY:Noncanonical Features of Noncommutative Quantum Mechanics
DTSTART:20260921T120000Z
DTEND:20260921T130000Z
DTSTAMP:20260909T064700Z
UID:indico-event-1818@indico.wigner.hu
DESCRIPTION:Speakers: Shidong Liang (School of Physics\, Sun Yat-sen Unive
 rsity\, Guangzhou\, China)\n\nWe explore the interplay among noncommutativ
 ity\, 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 s
 ystematically incorporated into quantum operators. The resulting framework
  leads to modified Schrödinger\, Klein–Gordon\, Dirac\, and Pauli equat
 ions and provides a systematic description of their observable consequence
 s. We introduce an energy-dependent parameterization scheme to explore pos
 sible connections between noncommutative quantum effects and several funda
 mental problems\, including dark energy and quantum decoherence. We also s
 how that the extended algebra can generate anomalous velocity and accelera
 tion for free particles\, offering a possible quantum-mechanical perspecti
 ve on the accelerated expansion of the Universe. Furthermore\, noncommutat
 ivity 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 consequen
 ces\, suggesting new connections between extended quantum mechanics and co
 smology.\n\nhttps://indico.wigner.hu/event/1818/
LOCATION:Médiaterem (II. ép.)
URL:https://indico.wigner.hu/event/1818/
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