Dissertation > Excellent graduate degree dissertation topics show

Vicsek fractal structure spectroscopy

Author: WangLiMin
Tutor: MaBen
School: Beijing Normal University
Course: Condensed Matter Physics
Keywords: Fractal structure Beijing Normal University Energy eigenvalues Nondegenerate states Degeneracy Fractal system The eigenvectors Self-similarity Density of states Wave function
CLC: O481
Type: Master's thesis
Year: 1995
Downloads: 36
Quote: 0
Read: Download Dissertation

Abstract


The electron and magnetism energy of Vicsek fractal of any stage has been predicted using a recursive technique based on local symmetry and self-similarity. The analysis was carried out for Schrodinger eqation of the fractal with nearest-neighbor interactions The Hamiltonian of electrons with tight-binding approxiamation is TheHamiltonian of magnetism with Heisenberg model of magnetized insulater is .The caculated resultshows that the complete spectrum was formed with high-degenerate mode inserted in nondegenerate mode . The degenerate component of the spectrum of the nth-stage fractal consists of threefold degenerate, 8-fold degenerate , ... , Dn-1-fold degenerate, Dn- fold degenerate mode, and Dn-1= 5Dn-2 -8, n≥3. The highest degenerate is and Ei is energy of nondegenerate mode.In particular, threefold degenerate, 8-fold degenerate mode, ... , etc., are all persistent mode. The term persistent mode is used to discribe a descendant of a parent threefold degenerat mode that repeats itself from one stage to the next at the same energy. The existence of these persistent modes has been shown to be the consequence of the interplay between the local symmetry and the self-similar nature of the fractal. It has been shown that these persistent mode are superlocalized in nature and those nondegenerate mode are extended states. The spectrum consist of a high degeneracy part and four parts containing second high degeneracy. Eath part of these four also contains four or three parts containing third-high degeneracy. It shows a good fine similar structure. The regulation of the spectum is A → ABIAB, B → BIBA, and A is the structure with a high and four sub-high degenerate B is the structrue with a high and three sub-high degeneration. So the spectrum begining with the first stage is I→ ABIBA → ABIBABIBAIBIBAABIBA. We also have given the spectra of the second and third stage snow fractal. Its self-similarity is being studied now.

Related Dissertations

  1. Study on Morphological Evolution of Floc Breakage/Aggregation and Fractal Simulation in Water,O661.1
  2. Study of Baryon Spectrum in the qq-qq-(?) Quark Structure,O572.33
  3. The Packing Measure of Generalized m-Uniform Cantor Sets and Relations between Entropy Numbers and Packing Dimension,O174.12
  4. Target detection based on local features,TP751
  5. Research on the Broadband Train-Ground Internetworking Traffic Modeling and Management,TP393.06
  6. Precision hybrid DFT Study,O641.1
  7. Density Functional Theory Study on Energy Band and Density of States of ZnO,O614.241
  8. Two subwavelength fractal structure of THz transmission spectrum characteristics of,O433
  9. FDTD theory of subwavelength metal holes array - based terahertz transmission simulation study,O441.4
  10. Research on Self-Similarity Measurement of 3D Surface Textures,TP391.41
  11. Three-Dimensional Surface Texture Editing Based on Wavelet Decomposition and Texton,TP391.41
  12. The Effect of Impurity Potential Varying Harmonically in Time on the Transport Property of the Semiconductor Superlattice,O471
  13. Fractal Studies on Species Diversity and Spatial Pattern of the Forest Community in the Lianhua Mountains,S718.5
  14. Designs based on fractal geometry and texture synthesis techniques,TP391.41
  15. DDoS attack prevention technology research,TP393.08
  16. Analysis of Fluctuations of Chinese Future Market Based on Chaos and Fractal Theory,F224
  17. The Research of the Structure and Electrical Property of the Porous Low k SiO2: F Film,O484.42
  18. Relaxation method measurement of the specific heat of the sample than the improvement of the thermal measuring device and the Y - based high-temperature superconducting materials,O551
  19. Sierpinski carpet - phase variable universal problem,O415.5
  20. Phonon Spectrum and Thermal Properties of Carbon Nanotube,TB383.1

CLC: > Mathematical sciences and chemical > Physics > Solid State Physics > Solid State Theory
© 2012 www.DissertationTopic.Net  Mobile