Janusz Wysoczański

activity

20162024

Q

-deformed commutation relations

8 citations · 10 across the 3 of their papers we have counts for

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2 papers · 1 filter

math.FA2016

Rank two perturbations of matrices and operators and operator model for t-transformation of probability measures

Anna Kula, Michal Wojtylak, Janusz Wysoczański

Rank two parametric perturbations of operators and matrices are studied in various settings. In the finite dimensional case the formula for a characteristic polynomial is derived a…

math-ph2016★ 8 cited

Fock representations of $Q$ -deformed commutation relations

Marek Bożejko, Eugene Lytvynov, Janusz Wysoczański

We consider Fock representations of the $Q$ -deformed commutation relations $\partial_{s} \partial_{t}^{†} = Q (s, t) \partial_{t}^{†} \partial_{s} + δ (s, t), s, t \in T .$ Here $T := R^{d}$ (or…

Rank two perturbations of matrices and operators and operator model for t-transformation of probability measures

Fock representations of Q-deformed commutation relations

Fock representations of $Q$ -deformed commutation relations