Particles, phases, fields

• Autorzy: L. Wojtczak , A. Urbaniak-Kucharczyk , I. Zasada , J. Rutkowski
• Języki publikacji: EN

Abstrakty

EN

The physical properties of particles and phasesare considered in connection with their description by means of the deformation of space-time. The analogy between particle trajectories and phase boundaries is discussed. The geometry and its curvature is related to the Clifford algebraic structure whose construction in terms of the theory of deformation leads to the expected solutions for correlation functions referring to spectroscopy and scattering problems. The stochastic nature of space-time is reflected by fluctuations of distances and time intervals.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 37
• Numer: 1
• Strony: 351-360

Daty

wydano

1996

Twórcy

autor

L. Wojtczak

• Solid State Physics Department, University of Łódź, ul. Pomorska 149/153, PL-90-236, Łódź, Poland

autor

A. Urbaniak-Kucharczyk

• Solid State Physics Department, University of Łódź, ul. Pomorska 149/153, PL-90-236, Łódź, Poland

autor

I. Zasada

• Solid State Physics Department, University of Łódź, ul. Pomorska 149/153, PL-90-236, Łódź, Poland

autor

J. Rutkowski

• Solid State Physics Department, University of Łódź, ul. Pomorska 149/153, PL-90-236, Łódź, Poland

Bibliografia

• [1] F. L. Castillo-Alvarado, G. Contreras-Puente, J. Ławrynowicz and L. Wojtczak, A Hurwitz-Pair Approach to the Premelting Problem, in: Deformations of Mathematical Structures, J. Ławrynowicz (ed.), Kluwer Academic Publishers, Netherlands, 1994, 289-298.
• [2] Yu. P. Gnatenko, J. H. Rutkowski and G. Contreras-Puente, Optical spectra of CdTe crystals doped with Co atoms, Bull. Soc. Sci. Lettres Łódź, Sér. Réch. Deform., (submitted for publication).
• [3] H. Haken, Synergetics, An Introduction, Nonequilibrium Phase Transitions and Self Organization in Physics, Chemistry and Biology, Springer Verlag, Berlin, Heidelberg, New York, Tokyo, 1983.
• [4] J. Kociński and L. Wojtczak, Critical Scattering Theory. An Introduction, Phase Transition Phenomena 1, Elsevier Scientific Publ. Co.-PWN, Amsterdam, Oxford, New York, Warszawa, 1978.
• [5] J. Ławrynowicz, J. Avendano-Lopez, F. L. Castillo-Alvarado, R. A. Barrio and A. Urbaniak-Kucharczyk, Clifford analysis, Riemannian geometry and the electromagnetic field, in: Essays on the Formal Aspects of Electromagnetic Theory, A. Lakhtakia (ed.), World Scientific Publ. Co., 1993, pp. 533-558.
• [6] J. Ławrynowicz and L. Wojtczak in cooperation with S. Koshi and O. Suzuki, Stochastic mechanics of particle systems in Cliford-analytical formulation related to Hurwitz pairs of bidimension (8, 5), in: Deformations of Mathematical Structures, J. Ławrynowicz (ed.), Kluwer Academic Publishers, Netherlands, 1994, 213-262.
• [7] J. C. Le Bossé, J. J. Lopez, J. Rousseau, I. Zasada and L. Wojtczak, Statistical aspects of the diffuse LEED problem, J. Phys.: Condens. Matter, 2, (1990), 3143-3165.
• [8] R. Lipowsky and W. Speth, Semi-infinite systems with first-order bulk transitions, Phys. Rev. B28 No. 7, (1983), 3983-3993.
• [9] B. Pluis, D. Frenkel and J. F. van der Veen, Surface-induced melting and freezing II. A semiempirical Landau-type model, Surf. Sci., 239, (1990), 282-300.
• [10] J. Rembieliński and K. Smoliński, Non-commutative quantum dynamics, Modern Physics Letters A, No. 35 8, (1993), 3335-3343.
• [11] A. Urbaniak-Kucharczyk, Spin polarization transport in thin magnetic film, in: Deformations of Mathematical Structure, J. Ławrynowicz (ed.), Kluwer Academic Publ., Netherlands, 1994, 327-340.
• [12] I. Zasada and L. Wojtczak, Topological correlations in the surface melting conditions, Bull. Soc. Sci. Lettres Łódź, Sér. Rech. Déform. 18, (1995), 93-108.