Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Jaromir Tosiek"'
Autor:
Jaromir Tosiek, Maciej Przanowski
Publikováno v:
Entropy, Vol 23, Iss 5, p 581 (2021)
We focus on several questions arising during the modelling of quantum systems on a phase space. First, we discuss the choice of phase space and its structure. We include an interesting case of discrete phase space. Then, we introduce the respective a
Externí odkaz:
https://doaj.org/article/85b3462e281947218f14328c11fe7bd1
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 Hermitian with respect to the Bialynicki-Birula scalar product and defin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::032f2539ce15088e2ad16d21bf512e4a
http://arxiv.org/abs/2205.04791
http://arxiv.org/abs/2205.04791
Publikováno v:
Physical Review A. 104
It is shown that the photon position operator $\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{\stackrel{P\vec}{X}}$ with commuting components can be written in the momentum representation as $\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{\stackrel{P\vec}{X}}=
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7e5b045f8f9b36d461df5c221aa3781
https://doi.org/10.1103/physreva.104.042206
https://doi.org/10.1103/physreva.104.042206
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 mechanics of photon is investigated. The Bia\l ynicki -- Birula scalar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4d73c24967169f82b3a8e2e351d07a2
http://arxiv.org/abs/2006.12833
http://arxiv.org/abs/2006.12833
Publikováno v:
Trends in Mathematics ISBN: 9783030533045
A phase space approach to systems with both: classical degrees of freedom and purely quantum discrete ones is discussed. Formulas for the Stratonovich–Weyl quantizer and star product for such systems are proposed. The Wigner function, its propertie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee72ac589e4bc3f9bd2a5a56a39aa81e
https://doi.org/10.1007/978-3-030-53305-2_20
https://doi.org/10.1007/978-3-030-53305-2_20
Autor:
Jaromir Tosiek
Publikováno v:
Trends in Mathematics ISBN: 9783030011550
A notion of the state in classical and in quantum physics is discussed. Several classes of continuous linear functionals over different algebras of formal series are introduced. The condition of nonnegativity of functionals over the * algebra is anal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ccab133422b484002fb5c3c54bc43ab
https://doi.org/10.1007/978-3-030-01156-7_15
https://doi.org/10.1007/978-3-030-01156-7_15
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 $L^{2}(\mathbb{R}^{3})\otimes{\mathcal{H}}^{(s+1)}$ and functions on the p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94f5b15c32b77055a875974736abc0fb
Publikováno v:
Annals of Physics. 351:919-934
A generalized Weyl quantization formalism for a particle on the circle investigated in \cite{1} is developed. A Wigner function for the state $\hat{\varrho}$ and the kernel $\mathcal{K}$ for a particle on the circle is defined and its properties are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d04325ec8e0b709acdea73659fa6759
https://doi.org/10.1016/j.aop.2014.10.011
https://doi.org/10.1016/j.aop.2014.10.011
Autor:
Jaromir Tosiek, Michal Dobrski
Publikováno v:
Journal of Mathematical Physics. 60:102106
Foundations of the formal series *calculus in deformation quantization are discussed. Several classes of continuous linear functionals over algebras applied in classical and quantum physics are introduced. The notion of non-negativity in formal serie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2d6b77246bc2b5ee88d000a008bc3b4
https://doi.org/10.1063/1.5094725
https://doi.org/10.1063/1.5094725
Autor:
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 -- dimensional Hilbert space. A respective Wigner function on the discr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a650c8151b5edf1d82d9985240f78833
http://arxiv.org/abs/1609.03751
http://arxiv.org/abs/1609.03751