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Using a hyperbolic ring based formalism, it is shown that special unitary groups correspond to thermo-algebras for closed quantum systems, while for open systems, the full unitary algebra is the… Click to show full abstract
Using a hyperbolic ring based formalism, it is shown that special unitary groups correspond to thermo-algebras for closed quantum systems, while for open systems, the full unitary algebra is the suitable underlying structure. Specifically the groups U(2) and U(1, 1) are realized as the dynamical symmetry groups for open quantum systems through continuous tensorial products; these unitary groups are obtained by mean of abelian extensions through U(1)-factors, from the standard thermo-algebras SU(2), and SU(1, 1).
Keywords:
deformations thermo;
quantum systems;
algebras fock;
fock spaces;
thermo algebras;
open quantum
Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2021
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Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!