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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Konferencja
The Workshop on Current Problems in Physics: Zielona Góra – Lviv, Zielona Góra,19-21 October 2009
Języki publikacji
Abstrakty
In the note, recent efforts to derive fractional quantum mechanics are recalled. Some applications of a fractional approach to the Schrödinger equation are discussed as well.
Rocznik
Tom
Strony
191--194
Opis fizyczny
Bibliogr. 13 poz., rys.
Twórcy
autor
autor
- Institute of Physics University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland, P.Rozmej@if.uz.zgora.pl
Bibliografia
- [1] I. Podlubny, Fractional Differential Equations. Academic Press, 1999.
- [2] Fractional Calculus Modeling, http://www.fracalmo.org/
- [3] N. Laskin, Fractional quantum mechanics and Lévy path integrals. Phys. Lett. A 268, 298 (2000); Fractional quantum mechanics. Phys. Rev. E 62, 3135 (2000).
- [4] N. Laskin, Fractional Schrödinger equation. Phys. Rev. E 66, 056108 (2002).
- [5] M. Naber, Time fractional Schrödinger equation. J. Math.Phys. 45, 3339 (2004).
- [6] F. Ben Adda, J. Cresson, Fractional differential equations and the Schrödinger equation. Appl. Math. Comp. 161, 323 (2005).
- [7] R. Herrmann, Properties of fractional derivative Schrödinger type wave equation and a new interpretation of the charmonium spectrum. arXiv:math-ph/05100099 (2006).
- [8] R. Herrmann, The fractional symmetric rigid rotor. J. Phys. G 34, 607 (2007).
- [9] R. Herrmann, q-deformed Lie algebras and fractional calculus. arXiv:0711:3701 (2007).
- [10] R. Herrmann, Gauge invariance in fractional field theories. Phys. Lett. A 372, 5515 (2008).
- [11] R. Herrmann, Fractional dynamic symmetries and the ground properties of nuclei. arXiv:0806.2300 (2008).
- [12] R. Herrmann, Fractional phase transition in medium size metal cluster and some remarks on magic numners in gravitationally and weakly interacting clusters. ArXiv:0907.1953 (2009).
- [13] B. Bandrowski, A. Karczewska, P. Rozmej, Numerical solutions to integral equations equivalent to differential equations with fractional time derivative. Int. J. Appl. Math. Comp. Sci. 20 (2), 261-269 (2010).(http://www.uz.zgora.pl/ prozmej/amcs2.pdf)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ5-0028-0013