Faculty / Organisational entity
- Fachbereich Informatik (35)
- Fachbereich Mathematik (35)
- Fachbereich Physik (35)
- Fraunhofer (ITWM) (12)
- Fachbereich Wirtschaftswissenschaften (9)
- Fachbereich Elektrotechnik und Informationstechnik (6)
- Fachbereich Maschinenbau und Verfahrenstechnik (5)
- Fachbereich Biologie (3)
- Fachbereich Chemie (2)
- Universitätsbibliothek (1)
Year of publication
- 1998 (143) (remove)
- Functional Analysis (1998)
- The aim of this course is to give a very modest introduction to the extremely rich and well-developed theory of Hilbert spaces, an introduction that hopefully will provide the students with a knowledge of some of the fundamental results of the theory and will make them familiar with everything needed in order to understand, believe and apply the spectral theorem for selfadjoint operators in Hilbert space. This implies that the course will have to give answers to such questions as - What is a Hilbert space? - What is a bounded operator in Hilbert space? - What is a selfadjoint operator in Hilbert space? - What is the spectrum of such an operator? - What is meant by a spectral decomposition of such an operator?
- Semiclassical Quantization of a System with Mixed Regular/Chaotic Dynamics (1998)
- The quasienergy spectrum of a periodically driven quantum system is constructed from classical dynamics by means of the semiclassical initial value representation using coherent states. For the first time, this method is applied to explicitly time dependent systems. For an anharmonic oscillator system with mixed chaotic and regular classical dynamics, the entire quantum spectrum (both regular and chaotic states) is reproduced semiclassically with surprising accuracy. In particular, the method is capable to account for the very small tunneling splittings.
- Spin waves and magnetic anisotropy in ultrathin (111)-oriented cubic films (1998)
- The dispersions of dipolar (Damon-Eshbach modes) and exchange dominated spin waves are calculated for in-plane magnetized thin and ultrathin cubic films with (111) crystal orientation and the results are compared with those obtained for the other principal planes. The properties of these magnetic excitations are examined from the point of view of Brillouin light scattering experiments. Attention is paid to study the spin-wave frequency variation as a function of the magnetization direction in the film plane for different film thicknesses. Interface anisotropies and the bulk magnetocrystalline anisotropy are considered in the calculation. A quantitative comparison between an analytical expression obtained in the limit of small film thickness and wave vector and the full numerical calculation is given.