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Seminarium WM

• Transmission-type BVPs for PDE systems that appear in Fluid Mechanics
  dr Andrei-Florin Albisoru, Babes-Bolyai University, Cluj-Napoka
  2026-04-22 godz. 13:15 - 14:15

Seminaria w jednostkach

• Real quantum mechanics in Kaehler space: exact isomorphism with complex quantum theory and maximal Bell-inequality violation
  prof. dr hab. Jean-Pierre Gazeau
  Zakład Fizyki Matematycznej, 2026-04-24 godz. 9:45 - 11:15
  We revisit the role of complex numbers in quantum mechanics and question whether they are fundamental or merely a convenient mathematical representation. A recent result claimed that real formulations of quantum theory can be experimentally ruled out. We show that this conclusion relies on an incomplete real framework. By introducing a real Hilbert space endowed with a symplectic structure and a compatible complex structure, we construct a formulation that is exactly equivalent to standard complex quantum mechanics. This equivalence extends naturally to composite systems through an alternative composition rule. Within this setting, we recover the maximal quantum violations in Bell-type scenarios using purely real variables, thereby challenging previous claims. Our results support the view that complex numbers in quantum mechanics reflect an underlying real geometric structure rather than a fundamental ingredient.

Ostatnio wydane publikacje

1. I. Dzhalladova, O. Kaminsky, M. Růžičková
   Modeling Threat in Cyberspace with Markov Processes
   Dynamical System Modelling and Stability Investigation, 2025, pp. 116-127.
2. A. C. Maioli, E. M. F. Curado, J.-P. Gazeau, T. Koide
   The Geometry of Qubit Decoherence: Linear Versus Nonlinear Dynamics in the Bloch Ball
   Physics 8 (2026), no. 1, 1-19.
   DOI: 10.3390/physics8010008
3. K. Bardadyn, B. Kwaśniewski
   Topologically free actions and ideals in twisted Banach algebra crossed products
   Proc. Roy. Soc. Edinburgh Sect. A 156 (2026), no. 1, 157-187.
   DOI: 10.1017/prm.2024.37
4. K. Zajkowski
   O indukowanych normach p-subwykładniczych macierzy losowych
   Aspekty współczesnej matematyki (I. A. Malinowska Ed(s).), 2025, pp. 109-119.
5. A. Stocka
   Wokół wymiaru Goldiego krat
   Aspekty współczesnej matematyki (I. A. Malinowska Ed(s).), 2025, pp. 85-108.