20 citations · 138 across the 23 of their papers we have counts for
12 papers · 1 filter
Phase space quantum mechanics of a free particle moving in a plane
Hubert Jóźwiak, Jaromir Tosiek
The eigenstates of a free quantum particle propagating in a plane are derived in the context of phase space quantum mechanics. Two possibilities are analysed. First, the case of a…
The continuity equation and its applications in phase space quantum mechanics
Jaromir Tosiek, Luca Campobasso
A quantum phase space version of the continuity equation for systems with internal degrees of freedom is derived. The -- D Dirac equation is introduced and its phase space coun…
Construction of a photon position operator with commuting components from natural axioms
Michal Dobrski, Maciej Przanowski, Jaromir Tosiek +1
A general form of the photon position operator with commuting components fulfilling some natural axioms is obtained. This operator commutes with the photon helicity operator, is He…
The geometrical interpretation of the photon position operator
Michal Dobrski, Maciej Przanowski, Jaromir Tosiek +1
It is shown that the photon position operator with commuting components can be written in the momentum representation as , where $\ha…
The Weyl -- Wigner -- Moyal Formalism on a Discrete Phase Space. II. The Photon Wigner Function
Maciej Przanowski, Jaromir Tosiek, Francisco J. Turrubiates
Classical model of light in helicity formalism is presented. Then quantum point of view at photons -- construction and interpretation of photon wave function is proposed. Quantum m…
The Weyl-Wigner-Moyal formalism on a discrete phase space. I. A Wigner function for a nonrelativistic particle with spin
Maciej Przanowski, Jaromir Tosiek, Francisco J. Turrubiates
The Weyl-Wigner-Moyal formalism for quantum particle with discrete internal degrees of freedom is developed. A one to one correspondence between operators in the Hilbert space $L^{…
From the discrete Weyl -- Wigner formalism for symmetric ordering to a number -- phase Wigner function
Maciej Przanowski, Jaromir Tosiek
The general Weyl -- Wigner formalism in finite dimensional phase spaces is investigated. Then this formalism is specified to the case of symmetric ordering of operators in an odd -…
Formal Series of Generalised Functions and Their Application to Deformation Quantisation
Jaromir Tosiek, Michał Dobrski
Foundations of the formal series -- calculus in deformation quantisation are discussed. Several classes of continuous linear functionals over algebras applied in classical and…
Uncertainty relations in quantum optics. Is the photon intelligent?
Maciej Przanowski, Hugo García-Compeán, Jaromir Tosiek +1
The Robertson -- Schrödinger, Heisenberg -- Robertson and Trifonov uncertainty relations for arbitrary two functions and depending on the quantum phase and the numb…
The Wentzel - Kramers - Brillouin approximation method applied to the Wigner function
Jaromir Tosiek, Ruben Cordero, Francisco J. Turrubiates
An adaptation of the WKB method in the deformation quantization formalism is presented with the aim to obtain an approximate technique of solving the eigenvalue problem for energy…
Time of arrival operator on the circle. (Variations on two Mielnik's works)
M. Przanowski, M. Skulimowski, J. Tosiek
Using the orthodox Weyl -- Wigner -- Stratonovich -- Cohen (WWSC) quantization rule we construct a time -- of -- arrival operator for a free particle on the circle. It is shown tha…
Quantum Mechanics on the cylinder
Jose A. Gonzalez, Mariano A del Olmo, Jaromir Tosiek
A new approach to deformation quantization on the cylinder considered as phase space is presented. The method is based on the standard Moyal formalism for R^2 adapted to (S^1 x R)…