Sie sind hier: ICP » R. Hilfer » Publikationen


1 Levy, M. On the Description of Unstable Particles in Quantum Field Theory. Il Nuovo Cimento 1959, 13, 115–143.
2 Thirring, W. Quantum Mathematical Physics: Atoms, Molecules and Large Systems; Springer: Berlin, Germany, 2002.
3 Allahverdyan, A.; Balian, R.; Nieuwenhuizen, T. Understanding quantum measurement from the solution of dynamical models. Phys. Rep. 2013, 525, 1–166.
4 Balian, R. From Microphysics to Macrophysics I+II; Springer Verlag: Berlin, Germany, 1991.
5 Spohn, H. Large Scale Dynamics of Interacting Particles; Springer: Berlin, Germany, 1991.
6 Bratteli, O.; Robinson, D. Operator Algebras and Quantum Statistical Mechanics I; Springer: Berlin, Germany, 1979.
7 Haag, R. Local Quantum Physics; Springer Verlag: Berlin, Germany, 1992.
8 Hille, E.; Phillips, R. Functional Analysis and Semi-Groups; American Mathematical Society: Providence, RI, USA, 1957.
9 Yosida, K. Functional Analysis; Springer: Berlin, Germany, 1965.
10 Pazy, A. Semigroups of Linear Operators and Applications to Partial Differential Equations; Springer: Berlin, Germany, 1983.
11 Neerven, J. The Adjoint of a Semigroup of Linear Operators; Springer: Berlin, Germany, 1992.
12 Phillips, R. On the Generation of Semigroups of Linear Operators. Pacific J. Math. 1952, 2, 343–369.
13 Rudin, W. Functional Analysis; McGraw-Hill: New York, NY, USA, 1973.
14 Bunimovich, L.; Dani, S.; Dobrushin, R.; Kornfeld, I.; Maslova, N.; Pesin, Y.; Sinai, Y.; Smillie, J.; Shukov, Y.; Vershik, A. Dynamical Systems, Ergodic Theory and Applications; Springer: Berlin, Germany, 2000.
15 Hilfer, R. Applications of Fractional Calculus in Physics; World Scientific Publ. Co.: Singapore, Singapore, 2000.
16 Bratteli, O.; Robinson, D. Operator Algebras and Quantum Statistical Mechanics II; Springer: Berlin, Germany, 1981.
17 Haag, R.; Kastler, D. An Algebraic Approach to Quantum Field Theory. J. Math. Phys. 1964, 5, doi:10.1063/1.1704187.
18 Gnedenko, B.; Kolmogorov, A. Limit Distributions for Sums of Independent Random Variables; Addison-Wesley: Cambridge, UK, 1954.
19 Seneta, E. Regularly Varying Functions; Springer Verlag: Berlin, Germany, 1976.
20 Ibragimov, I.; Linnik, Y. Independent and Stationary Sequences of Random Variables; Wolters-Nordhoff Publishing: Groningen, The Netherlands, 1971.
21 Bingham, N.; Goldie, C.; Teugels, J. Regular Variation; Cambridge University Press: Cambridge, UK, 1987.
22 Hilfer, R. Foundations of Fractional Dynamics. Fractals 1995, 3, doi:10.1142/S0218348, X95000485.
23 Hilfer, R. Foundations of Fractional Dynamics: A Short Account. In Fractional Dynamics: Recent Advances; Klafter, J., Lim, S., Metzler, R., Eds.; World Scientific: Singapore, Singapore, 2011; p. 207.
24 Hilfer, R. An Extension of the Dynamical Foundation for the Statistical Equilibrium Concept. Phys. A 1995, 221, 89–96.
25 Hilfer, R. Remarks on Fractional Time. In Time, Quantum and Information; Castell, L., Ischebeck, O., Eds.; Springer: Berlin, Germany, 2003; p. 235.
26 Hilfer, R. Threefold Introduction to Fractional Derivatives. In Anomalous Transport: Foundations and Applications; Klages, R., Radons, G., Sokolov, I., Eds.; Wiley-VCH: Weinheim, Germany, 2008; pp. 17–74.
27 Lebowitz, J. Statistical Mechanics: A Selective Review of Two Central Issues. Rev. Mod. Phys. 1999, 71, doi:10.1103/RevModPhys.71.S346.
28 Hilfer, R.; Metzler, R.; Blumen, A.; Klafter, J. Strange Kinetics. Chem. Phys. 2002, 284.
29 Hilfer, R. Fitting the excess wing in the dielectric \alpha-relaxation of propylene carbonate. J. Phys.: Condens. Matter 2002, 14, 2297.
30 Hilfer, R. Experimental Evidence for Fractional Time Evolution in Glass Forming Materials. Chem. Phys. 2002, 284, 399–408.
31 Hilfer, R. Applications and Implications of Fractional Dynamics for Dielectric Relaxation. In Recent Advances in Broadband Dielectric Spectroscopy; Kalmykov, Y., Ed.; Springer: Berlin, Germany, 2012; p. 123.
32 Candelaresi, S.; Hilfer, R. Excess Wings in Broadband Dielectric Spectroscopy. In Proceedings of the AIP Conference Proceedings, City, Country, day month 2014; Volume 1637, 1283–1290.