Solution of an eigenvalue problem encountered in quantum physics

Büge, Mehmet


Solution of initial value problems for pseudoholomorphic functions in conical domains
Celebi, AO; Yuksel, U (1997-01-10)
It had previously been proved [U. Yüksel and A. O. Çelebi, Complex Variables Theory Appl. 29, No. 4, 305–311 (1996; Zbl 0852.30027)] that the initial value problem (1) ∂w/∂t=Lw, w(0,z)=w 0 (z), where the operator L is defined by (2) Lw:=E 0 (t,z)∂ ∂z ¯d E w dz+F 0 (t,z)∂ ∂z ¯ d E w dz ¯+C 0 (t,z)d E w dz+G 0 (t,z)d E w dz ¯+A 0 (t,z)w+B 0 (t,z)w ¯+D 0 (t,z) in the space P D (E) of pseudoholomorphic functions in the sense of Bers, turns out to be solvable by the abstract Cauchy-Kovalevskaya theorem. The pres...
Solution of large-scale scattering problems with the multilevel fast multipole algorithm parallelized on distributed-memory architectures
Ergül, Özgür Salih (2007-11-09)
We present the solution of large-scale scattering problems involving three-dimensional closed conducting objects with arbitrary shapes. With an efficient parallelization of the multilevel fast multipole algorithm on relatively inexpensive computational platforms using distributed-memory architectures, we perform the iterative solution of integral-equation formulations that are discretized with tens of millions of unknowns. In addition to canonical problems, we also present the solution of real-life problems...
Solution of inverse problem of electrocardiography using state space models
Aydın, Ümit; Serinağaoğlu Doğrusöz, Yeşim; Department of Electrical and Electronics Engineering (2009)
Heart is a vital organ that pumps blood to whole body. Synchronous contraction of the heart muscles assures that the required blood flow is supplied to organs. But sometimes the synchrony between those muscles is distorted, which results in reduced cardiac output that might lead to severe diseases, and even death. The most common of heart diseases are myocardial infarction and arrhythmias. The contraction of heart muscles is controlled by the electrical activity of the heart, therefore determination of that...
Solution of the antenna palcement problem by means of global optimization techniques
Ural, Mustafa; Kuzuoğlu, Mustafa; Department of Electrical and Electronics Engineering (2010)
In this thesis work, minimization of platform-based coupling between the antennas of two VHF radios on an aircraft platform and two HF radios on a ship platform is aimed. For this purpose; an optimal antenna placement, which yields minimum average coupling between the antennas over the whole frequency band of operation is determined for each platform. Two important global optimization techniques, namely Genetic Algorithm Optimization and Particle Swarm Optimization, are used in determination of these optima...
Solution of 2D electromagnetic scattering problems using transmission line matrix method
Bektaş, Filiz; Günalp, Nilgün; Department of Electrical and Electronics Engineering (1997)
Citation Formats
M. Büge, “Solution of an eigenvalue problem encountered in quantum physics,” Middle East Technical University, 1995.