2 citations · 3 across the 3 of their papers we have counts for
6 papers
On the Derivation and Interpretation of the Poincaré-Maxwell Group
Przemyslaw Brzykcy
The Lie algebra of the Poincaré-Maxwell group is derived in a manner that provides the interpretation of the equations of motion. It is clarified that the dynamics obtained from th…
(1+1) Newton-Hooke Group for the Simple and Damped Harmonic Oscillator
Przemyslaw Brzykcy
It is demonstrated that, in the framework of the orbit method, a simple and damped harmonic oscillators are indistinguishable at the level of an abstract Lie algebra. This opens a…
On some properties of number-phase Wigner function
Maciej Przanowski, Przemyslaw Brzykcy
It is shown that the number-phase Wigner function defines uniquely the respective density operator. Relations between the Glauber-Sudarshan distribution and the nu…
From the Weyl quantization of a particle on the circle to number-phase Wigner functions
Maciej Przanowski, Przemyslaw Brzykcy, Jaromir Tosiek
A generalized Weyl quantization formalism for a particle on the circle investigated in \cite{1} is developed. A Wigner function for the state and the kernel $\mathc…
Generalized Weyl quantization on the cylinder and quantum phase
Maciej Przanowski, Przemysław Brzykcy
Generalized Weyl quantization formalism for the cylindrical phase space is developed. It is shown that the quantum observables relevant to the phase of li…
States in the Hilbert space formulation and the phase space formulation of quantum mechanics
J. Tosiek, P. Brzykcy
W consider the problem of testing if a given matrix in the Hilbert space formulation of quantum mechanics or a function in the phase space formulation of quantum theory represent a…