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  • J. Tosiek, L. Campobasso, The continuity equation in the phase space quantum mechanics, Ann. Phys-new. York. 460, 169564, 2024
     10.1016/j.aop.2023.169564 
  • K. Pomorski, B. Stojewski, Hybrid Schrödinger-Ginzburg-Landau (Sch-GL) approach to study of superconducting integrated structures, Mol. Cryst. Liq. Cryst., 2023
     10.1080/15421406.2023.2262299 
  • A. Chudecki, Hyperheavenly spaces and their application in Walker and para-Kähler geometries: Part II, J. Geom. Phys. 188, 104826, 2023
     10.1016/j.geomphys.2023.104826 
  • M. Dobrski, M. Przanowski, J. Tosiek, F. J. Turrubiates, Construction of a photon position operator with commuting components from natural axioms, Phys. Rev. A 107(4), 042208, 2023
     10.1103/PhysRevA.107.042208 
  • A. Chudecki, Complex and Real Para-Kähler Einstein Spaces, Acta Physica Polonica B, Proceedings Supplement 16(6), 1, 2023
     10.5506/APhysPolBSupp.16.6-A9 
  • M. Dobrski, M. Przanowski, J. Tosiek, F. J. Turrubiates, Canonical Photon Position Operator with Commuting Components, Trends in Mathematics, Springer International Publishing, ISBN:978-30-313028-3-1,978-30-313028-4-8, pp. 95-104, 2023
     10.1007/978-3-031-30284-8_11 
  • L. Campobasso, J. Tosiek, The Klein Paradox in the Phase Space Quantum Mechanics, Trends in Mathematics, Springer International Publishing, ISBN:978-30-313028-3-1,978-30-313028-4-8, pp. 41-45, 2023
     10.1007/978-3-031-30284-8_6 
  • J. Tosiek, L. Campobasso, The 1-D Dirac Equation in the Phase Space Quantum Mechanics, Trends in Mathematics, Springer International Publishing, ISBN:978-30-313028-3-1,978-30-313028-4-8, pp. 85-94, 2023
     10.1007/978-3-031-30284-8_10 
  • A. Chudecki, Hyperheavenly spaces and their application in Walker and para-Kähler geometries: Part I, J. Geom. Phys. 179, 104591, 2022
     10.1016/j.geomphys.2022.104591 
  • A. Chudecki, Two-sided Walker and Para-Kähler Spaces as Real Slices of Hyperheavenly Spaces, Acta Physica Polonica B, Proceedings Supplement 15(1), 1, 2022
     10.5506/APhysPolBSupp.15.1-A4 
  • M. Dobrski, M. Przanowski, J. Tosiek, F. J. Turrubiates, Geometrical interpretation of the photon position operator with commuting components, Phys. Rev. A 104(4), 042206, 2021
     10.1103/PhysRevA.104.042206 
  • M. Dobrski, M. Wasiak, Effective method for approximating graded-refractive-index layers in optical simulations, Opt. Express 29(21), 34477, 2021
     10.1364/OE.434863 
  • J. Tosiek, M. Przanowski, The Phase Space Model of Nonrelativistic Quantum Mechanics, Entropy-switz. 23(5), 581, 2021
     10.3390/e23050581 
  • A. Chudecki, Two-sided conformally recurrent self-dual spaces, J. Geom. Phys. 159, 103933, 2021
     10.1016/j.geomphys.2020.103933 
  • M. Przanowski, J. Tosiek, F. J. Turrubiates, The Weyl – Wigner – Moyal Formalism on a Discrete Phase Space. II. The Photon Wigner Function, Fortschr. Physik 69(1), 2000061, 2020
     10.1002/prop.202000061 
  • A. Chudecki, On Some Solutions of the Type [D] Self-dual Spaces, Acta Physica Polonica B, Proceedings Supplement 13(2), 193, 2020
     10.5506/APHYSPOLBSUPP.13.193 
  • M. Przanowski, J. Tosiek, F. J. Turrubiates, The Weyl–Wigner–Moyal Formalism on a Discrete Phase Space, Trends in Mathematics, Springer International Publishing, ISBN:978-30-305330-4-5,978-30-305330-5-2, pp. 303-312, 2020
     10.1007/978-3-030-53305-2_20 
  • M. Przanowski, J. Tosiek, F. J. Turrubiates, The Weyl‐Wigner‐Moyal Formalism on a Discrete Phase Space. I. A Wigner Function for a Nonrelativistic Particle with Spin, Fortschr. Physik 67(12), 1900080, 2019
     10.1002/prop.201900080 
  • J. Tosiek, M. Dobrski, Formal series of generalized functions and their application to deformation quantization, J. Math. Phys. 60(10), 102106, 2019
     10.1063/1.5094725 
  • J. Tosiek, States in Deformation Quantisation: Hopes and Difficulties, Trends in Mathematics, Springer International Publishing, ISBN:978-30-300115-5-0,978-30-300115-6-7, pp. 139-146, 2019
     10.1007/978-3-030-01156-7_15 
  • A. Chudecki, Classification of complex and real vacuum spaces of the type [N] ⊗ [N], J. Math. Phys. 59(6), 062503, 2018
     10.1063/1.5034348 
  • A. Chudecki, M. Przanowski, On twisting type [N] ⊗ [N] Ricci flat complex spacetimes with two homothetic symmetries, J. Math. Phys. 59(4), 042504, 2018
     10.1063/1.5026374 
  • J. Tosiek, Deformation quantisation hopes and difficulties, Geometric Methods in Physics XXXVI, 2018
  • A. Chudecki, On geometry of congruences of null strings in 4-dimensional complex and real pseudo-Riemannian spaces, J. Math. Phys. 58(11), 112502, 2017
     10.1063/1.4994166 
  • M. Przanowski, J. Tosiek, From the discrete Weyl–Wigner formalism for symmetric ordering to a number–phase Wigner function, J. Math. Phys. 58(10), 102106, 2017
     10.1063/1.5008653 
  • M. Dobrski, Background independent noncommutative gravity from Fedosov quantization of endomorphism bundle, Classical Quant. Grav. 34(7), 075004, 2017
     10.1088/1361-6382/aa5f82 
  • A. Chudecki, On some examples of para-Hermite and para-Kähler Einstein spaces with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml29" display="inline" overflow="scroll" altimg="si1.gif"><mml:mi>Λ</mml:mi><mml:mo>≠</mml:mo><mml:mn>0</mml:mn></mml:math>, J. Geom. Phys. 112, 175-196, 2017
     10.1016/j.geomphys.2016.11.007 
  • A. Chudecki, Congruences of Null Strings and Their Relations with Weyl Tensor and Traceless Ricci Tensor, Acta Physica Polonica B, Proceedings Supplement 10(2), 373, 2017
     10.5506/APhysPolBSupp.10.373 
  • A. Chudecki, Classification of the Traceless Ricci Tensor in 4-dimensional Pseudo-Riemannian Spaces of Neutral Signature, Acta Physica Polonica, Series B. 48(1), 53, 2017
     10.5506/APhysPolB.48.53 
  • M. Przanowski, H. Garcia-Compean, J. Tosiek, F. J. Turrubiates, Uncertainty relations in quantum optics. Is the photon intelligent?, Ann. Phys-new. York. 373, 123-144, 2016
     10.1016/j.aop.2016.06.022 
  • J. Tosiek, R. Cordero, F. J. Turrubiates, The Wentzel–Kramers–Brillouin approximation method applied to the Wigner function, J. Math. Phys. 57(6), 062103, 2016
     10.1063/1.4954071 
  • A. Chudecki, All ASD complex and real 4-dimensional Einstein spaces with Λ≠0 admitting a nonnull Killing vector, Int. J. Geom. Methods M. 13(02), 1650011, 2016
     10.1142/S0219887816500110 
  • M. Przanowski, H. Garcia-Compean, J. Tosiek, F. J. Turrubiates, Uncertainty relations in quantum optics. Is the photon intelligent?, Ann. Phys-new. York. 373, 123 - 144, 2016
  • M. Przanowski, P. Brzykcy, J. Tosiek, Corrigendum to “From the Weyl quantization of a particle on the circle to number–phase Wigner functions” [Ann. Physics 351 (2014) 919–934], Ann. Phys-new. York. 363, 559-560, 2015
     10.1016/j.aop.2015.05.014 
  • M. Dobrski, Remarks on generalized Fedosov algebras, Int. J. Geom. Methods M. 12(09), 1550096, 2015
     10.1142/S0219887815500966 
  • M. Przanowski, P. Brzykcy, J. Tosiek, From the Weyl quantization of a particle on the circle to number–phase Wigner functions, Ann. Phys-new. York. 351, 919-934, 2014
     10.1016/j.aop.2014.10.011 
  • A. Chudecki, M. Dobrski, Proper conformal symmetries in self-dual Einstein spaces, J. Math. Phys. 55(8), 082502, 2014
     10.1063/1.4893000 
  • A. Chudecki, Null Killing vectors and geometry of null strings in Einstein spaces, Gen. Relat. Gravit. 46(4), 1714, 2014
     10.1007/s10714-014-1714-2 
  • J. Tosiek, States in Deformation Quantization, XXXII Workshop on Geometric Methods in Physics, 2014
     10.1007/978-3-319-06248-8_6 
  • M. Przanowski, P. Brzykcy, Generalized Weyl quantization on the cylinder and the quantum phase, Ann. Phys-new. York. 337, 34-48, 2013
     10.1016/j.aop.2013.06.013 
  • A. Chudecki, M. Przanowski, Killing symmetries in H-spaces with Λ, J. Math. Phys. 54(10), 102503, 2013
     10.1063/1.4826346 
  • M. Dobrski, INVOLUTION IN QUANTIZED ENDOMORPHISM BUNDLE AND REALITY OF NONCOMMUTATIVE GRAVITY ACTIONS, Int. J. Geom. Methods M. 10(02), 1220029, 2012
     10.1142/S0219887812200290 
  • A. Chudecki, HOMOTHETIC KILLING VECTORS IN EXPANDING \mathcalHH-SPACES WITH Λ, Int. J. Geom. Methods M. 10(01), 1250077, 2012
     10.1142/S0219887812500776 
  • M. Przanowski, M. Skulimowski, J. Tosiek, A Time of Arrival Operator on the Circle (Variations on Two Ideas), XXX Workshop Geometric Methods in Physics, Białowieża, 26 Jun-02 Jul 2011
     10.1007/978-3-0348-0448-6_21 
  • J. Tosiek, Physically Acceptable Solutions of an Eigenvalue Equation in Deformation Quantization, XXX Workshop Geometric Methods in Physics, Białowieża, 26 Jun-02 Jul 2011
     10.1007/978-3-0348-0448-6_10 
  • J. Tosiek, The eigenvalue equation for a 1-D Hamilton function in deformation quantization, Phys. Lett. A 376(28-29), 2023-2031, 2012
     10.1016/j.physleta.2012.05.009 
  • A. Chudecki, Classification of the Killing vectors in nonexpanding \mathcal HH-spaces with Λ, Classical Quant. Grav. 29(13), 135010, 2012
     10.1088/0264-9381/29/13/135010 
  • J. Tosiek, P. Brzykcy, States in the Hilbert space formulation and in the phase space formulation of quantum mechanics, Ann. Phys-new. York. 332, 1-15, 2012
     10.1016/j.aop.2013.01.010 
  • M. Przanowski, S. Formański, A. Chudecki, NOTES ON PARA-HERMITE–EINSTEIN SPACETIMES, Int. J. Geom. Methods M. 09(01), 1250008, 2012
     10.1142/S0219887812500089 
  • J. Tosiek, The eigenvalue equation for a 1-D Hamilton function in deformation quantization, Phys. Lett. A 376(28-29), 2023-2031, 2012
  • M. Przanowski, S. Formański, A. Chudecki, Notes on Para-Hermite-Einstein Spacetimes, Int. J. Geom. Methods M. 9, 1250008 (26 stron), 2012
  • M. Przanowski, J. Tosiek, Notes on thermodynamics in special relativity, Phys. Scr. 84(5), 055008, 2011
     10.1088/0031-8949/84/05/055008 
  • M. Dobrski, Some models of geometric noncommutative general relativity, pp. 065005, September 2011
     10.1103/PhysRevD.84.065005 
  • M. Dobrski, SEIBERG–WITTEN EQUATIONS FROM FEDOSOV DEFORMATION QUANTIZATION OF ENDOMORPHISM BUNDLE, Int. J. Geom. Methods M. 08(02), 411-428, 2011
     10.1142/S021988781100521X 
  • J. Tosiek, Compatible symplectic connections on a cotangent bundle and the Fedosov quantization, J. Math. Phys. 52(2), 022107, 2011
     10.1063/1.3549588 
  • M. Przanowski, J. Tosiek, Notes on thermodynamics in special relativity, Phys. Scr. 84, 055008 (11 stron), 2011
  • J. Tosiek, Compatible symplectic connections on a cotangent bundle and the Fedosov quantization, J. Math. Phys., 2011
  • A. Chudecki, Conformal Killing vectors in nonexpanding -spaces with Λ, Classical Quant. Grav. 27(20), 205004, 2010
     10.1088/0264-9381/27/20/205004 
  • J. Tosiek, The Fedosov ∗-product in Mathematica, Comput. Phys. Commun. 181(3), 704, 2010
     10.1016/j.cpc.2009.10.022 
  • J. Tosiek, P. Kielanowski, V. Buchstaber, A. Odzijewicz, M. Schlichenmaier, T. Voronov, Fedosov Deformation Quantization with some Family of Compatible Symplectic Connections, AIP Conference Proceedings, Bialowieza, Poland, 27 Jun-03 Jul 2010
     10.1063/1.3527413 
  • J. Tosiek, The Fedosov ∗-product in Mathematica, Comput. Phys. Commun. 181(3), 704, 2010
  • J. Tosiek, Fedosov Deformation Quantization with some Family of Compatible Symplectic Connections, AIP Conf. Proc., 169-174, 2010
  • M. Przanowski, HEAT,TEMPERATURE AND RELATIVITY, Acta Physicae Superficierum XI, 43-47, 2009
  • A. Krasiński, M. Przanowski, Editorial note to: J.N. Goldberg and R.K.Sachs, A theorem on Petrov types, Gen. Relat. Gravit. 41, 421-432, 2009
  • J. Tosiek, The Fedosov ∗-product in Mathematica, Comput. Phys. Commun. 179(12), 924-930, 2008
     10.1016/j.cpc.2008.07.009 
  • A. Chudecki, M. Przanowski, From hyperheavenly spaces to Walker and Osserman spaces: II, Classical Quant. Grav. 25(23), 235019, 2008
     10.1088/0264-9381/25/23/235019 
  • J. Tosiek, The Fedosov deformation quantization with the induced symplectic connection, Journal of Physics: Conference Series 128, 012024, 2008
     10.1088/1742-6596/128/1/012024 
  • A. Chudecki, M. Przanowski, From hyperheavenly spaces to Walker and Osserman spaces: I, Classical Quant. Grav. 25(14), 145010, 2008
     10.1088/0264-9381/25/14/145010 
  • A. Chudecki, M. Przanowski, A simple example of type-\rm [N] \otimes \rm [N] \cal HH -spaces admitting twisting null geodesic congruence, Classical Quant. Grav. 25(5), 055010, 2008
     10.1088/0264-9381/25/5/055010 
  • A. Chudecki, M. Przanowski, From hyperheavenly spaces to Walker and Osserman spaces II., Classical Quant. Grav. 25, 235019, 2008
  • I. Galaviz, H. Garcia-Compean, M. Przanowski, F. J. Turrubiates, Weyl-Wigner-Moyal formalism for Fermi classical systems., Ann. Phys-new. York. 323, 267-290, 2008
  • A. Chudecki, M. Przanowski, From hyperheavenly spaces to Walker and Osserman spaces I., Classical Quant. Grav. 25, 145010, 2008
  • A. Chudecki, M. Przanowski, A simple example of [N] [N] HH-spaces admitting twisting null geodesic congruence., Classical Quant. Grav. 25, 2008
  • I. Galaviz, H. Garcia-Compean, M. Przanowski, F. J. Turrubiates, Deformation quantization of fermi fields., Ann. Phys-new. York. 323(4), 827-844, 2008
  • S. Formański, M. Przanowski, SDYM and heavenly equations in deformation qantization, Non-commutative Geometry in Mathematics and Physics, American Mathematical Society, ISBN:9780821841471, pp. 55-71, 2008
  • M. Dobrski, Constructing the time independent Hamiltonian from a time dependent one, Open Phys. 5(3), 313-323, 2007
     10.2478/s11534-007-0024-7 
  • J. Tosiek, Abelian Connection in Fedosov Deformation Quantization, Journal of Geometry and Symmetry in Physics 10, 93–102, 2007
     doi:10.7546/jgsp-10-2007-93-102 
  • J. Tosiek, Abelian connection in Fedosov deformation quantization. I. The 2-dimensional phase space., Acta Physica Polonica, Series B. 38 No. 10, 3069-3086, 2007
  • J. Negro, M. A. d. Olmo, J. Tosiek, Anyons, group theory and planar physics, J. Math. Phys. 47(3), 033508, 2006
     10.1063/1.2168399 
  • J. Negro, O. M. del, J. Tosiek, Anyons, group theory and planar physics., J. Math. Phys. 47, 0335081-19, 2006
  • M. Przanowski, S. M. Rodriques, Diverging and twisting type N solutions of vacuum Einstein equations: an approximative approach., Classical Quant. Grav. 23, 761-775, 2006
  • M. Gadella, M. A. d. Olmo, J. Tosiek, Geometrical origin of the -product in the Fedosov formalism, J. Geom. Phys. 55(3), 316-352, 2005
     10.1016/j.geomphys.2004.12.010 
  • S. Formański, M. Przanowski, *-SDYM fields and heavenly spaces: II. Reductions of the *-SDYM system., J. Phys. A - Math. Gen. 38, 9371-9385, 2005
  • J. Tosiek, The Weyl bundle as a differentiable manifold, J. Phys. A - Math. Gen. 38(23), 5193-5216, 2005
     10.1088/0305-4470/38/23/008 
  • S. Formański, M. Przanowski, *-SDYM fields and heavenly spaces: I. *-SDYM equations as an integrable system., J. Phys. A - Math. Gen. 38, 4399-4418, 2005
  • M. Gadella, O. M. del, J. Tosiek, Geometrical origin of the *-product in the Fedosov formalism., J. Geom. Phys. 55, 316-352, 2005
  • J. Tosiek, The Weyl bundle as a differentiable manifold., J. Phys. A - Math. Gen. 38, 5193-5216, 2005
  • M. Gadella, M. A. d. Olmo, J. Tosiek, Quantization on a two-dimensional phase space with a constant curvature tensor, Ann. Phys-new. York. 307(2), 272-307, 2003
     10.1016/S0003-4916(03)00094-0 
  • J. A. G. lez, M. A. d. Olmo, J. Tosiek, Quantum mechanics on the cylinder, pp. S306-S315, June 2003
     10.1088/1464-4266/5/3/362