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 magneto-dynamics
• 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. 734-753. (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 3-4 p.126-128 (with V. Ga.ychuk)
• The spectral and di¤erential-geometric aspects of a generalized de Rham-Hodgetheory related with Delsarte transmutation operators in multi-dimension 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: 2882-2897, 2008 (with N. Bogolubov (jr.), J. Golenia and U. Taneri)
• The vacuum structure, special relativity theory and quantum mechanics: a field theory no-geometry approach. The ICTP-Preprint, 2008, Trieste, Italy, (Available at: pub-lications.ictp.it), IC/2008/051, arXiv:0807.3691v5 [gr-qc] 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. 1079-1095 (with N. Bogolubov (jr.) and U. Taneri)
• The electromagnetic Lorentz condition problem and symplectic properties of Maxwell- and Yang-Mills-type 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. 8-9 (with N. Bogolubov (jr.))
• The electromagnetic Dirac-Fock-Podolsky problem and symplectic properties of the Maxwell and Yang-Mills type dynamical systems. The ICTP-Preprint, 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. 1-14
• 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 No-Geometry 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/s10773-011-0900-1 (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 1607-324X. . 2013 vol. 16 no. 2, s. 23702-1. 23702-13. . Bibliogr. s. 23702-12. 23702-13.
• A new exactly solvable spatially one-dimensional quantum superradiance fermi-medium model and its quantum solitonic states / D. Blackmore // Condensed Matter Physics ; ISSN 1607-324X. . 2013 vol. 16 no. 2, s. 23701-1.23701-9.
• Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations / D. Blackmore, J. Golenia, Ya. A. Prykarpatsky // Ukrainian Mathematical Journal; ISSN 1027-3190. . 2013 t. 65 no. 1, s. 44.57. . Bibliogr. s. 57.
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