Department of Physics,
Mathematics and Compuetr Science at the Cracow University of Technology, Poland
Research Interests
• Lagrangian and Hamiltonian mechanics
• classical and quantum electrodynamics
• relativity theory, string theory and gravity
• classical and quantum statistical physics and kinetic theory
• quantum scattering theory
• quantization problems in quantum mechanics and applications
• statistical physics quantum nonlinear optics
• quantum Josephson type media
• polaron theory
• magnetohydrodynamics of plasma physics
• hydrodynamics and turbulence theory
• vortex theory aspects in magnetodynamics
• ergodic processes and dynamical chaos
• solvable models of quantum and fields theory
Selected Publication List
• A geometrical approach to quantum holonomic computing algorithms. "Mathematics and Computers in Simulation", Elsevier, 2004, v. 35, N2, p. 734753. (with D.L. Blackmore, A.M. Samoilenko, U.Taneri and Y.A. Prykarpatsky)
• Quantum chaos and its testing, "Theory of Stochastic processes", 2004, v. 10(26), N 34 p.126128 (with V. Ga.ychuk)
• The spectral and di¤erentialgeometric aspects of a generalized de RhamHodgetheory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems, Nonlinear Analysis, 2006, v. 65, N2, p. 395 (with A. Samoilenko and Y. Prykarpatsky)
• Introductive Backgrounds to Modern Quantum Mathematics with Application to Nonlinear Dynamical Systems. International Journal of Theoretical Physics, March 25, 47: 28822897, 2008 (with N. Bogolubov (jr.), J. Golenia and U. Taneri)
• The vacuum structure, special relativity theory and quantum mechanics: a field theory nogeometry approach. The ICTPPreprint, 2008, Trieste, Italy, (Available at: publications.ictp.it), IC/2008/051, arXiv:0807.3691v5 [grqc] 29 Jul 2008 (with N. Bogolubov (jr.) and U. Taneri) The vacuum structure, special relativity theory and quantum mechanics: a return to the .eld theory approach without geometry. Theoretical and Mathematical Physics, 160(2), 2009, p. 10791095 (with N. Bogolubov (jr.) and U. Taneri)
• The electromagnetic Lorentz condition problem and symplectic properties of Maxwell and YangMillstype dynamical systems. J. Phys. A: Math. Theor. 42, 2009, p. 165401 (with N. Bogolubov (jr.) and U. Taneri)
• The Lagrangian and Hamiltonian formalism for the classical relativistic electrodynamics models revisited. Ukr. J. Phys. 2009. Vol. 54, No. 89 (with N. Bogolubov (jr.))
• The electromagnetic DiracFockPodolsky problem and symplectic properties of the Maxwell and YangMills type dynamical systems. The ICTPPreprint, 2009, Trieste, Italy, (Available at: publications.ictp.it), IC/2009/005, (with N. Bogolubov (jr), U. Taneri and Y. Prykarpatsky) Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization. Condensed Matter Physics 2009, Vol. 12, No 4, pp. 114
• The relativistic electrodynamics least action principles revisited: new charged point particle and hadronic string model analysis. Part 3. Preprint ICTP IC/2009/027 (Available at: http://publications.ictp.it) The Analysis of Lagrangian and Hamiltonian Properties of the Classical Relativistic Electrodynamics Models and Their Quantization. Found. Phys., (2010) 40: 469 493 (with Bogolubov N.N. (Jr.))
• The Vacuum Structure and Special Relativity Revisited: A Field Theory NoGeometry Approach within the Lagrangian and Hamiltonian Formalisms. Physics of Particles and Nuclei, 2010, Vol. 41, No. 6, pp. 913.920. (with N. N. Bogolubov (Jr.))
• Modern Classical Electrodynamics and Electromagnetic Radiation  Vacuum Field Theory Aspects. Source: Book "Electromagnetic Waves", Edited by Vitaliy Zhurbenko, Publisher: InTech, June 2011(with Nikolai N. Bogolubov)
• The Maxwell Electromagnetic Equations and the Lorentz Type Force Derivation. The Feynman Approach Legacy. Int. J. Theor. Phys. 2011, DOI 10.1007/s1077301109001 (with Nikolai N. Bogolubov Jr.)
• A current algebra approach to the equilibrium classical statistical mechanics and its applications /N. N. Bogolubov, A. P. Prykarpatsky // Condensed Matter Physics ; ISSN 1607324X. . 2013 vol. 16 no. 2, s. 237021. 2370213. . Bibliogr. s. 2370212. 2370213.
• A new exactly solvable spatially onedimensional quantum superradiance fermimedium model and its quantum solitonic states / D. Blackmore // Condensed Matter Physics ; ISSN 1607324X. . 2013 vol. 16 no. 2, s. 237011.237019.
• Invariant measures for discrete dynamical systems and ergodic properties of generalized Booletype transformations / D. Blackmore, J. Golenia, Ya. A. Prykarpatsky // Ukrainian Mathematical Journal; ISSN 10273190. . 2013 t. 65 no. 1, s. 44.57. . Bibliogr. s. 57.
