Date of Award
7-1998
Degree Type
Thesis
University or Center
Clark Atlanta University(CAU)
Degree Name
M.S.
Department
Physics
Abstract
In this work we reconstruct Quantum Mechanical wave functions for some confining potentials, using the moment-wavelet method of Handy and Murenzi. This method consists in transforming the Schrodinger equation into an equivalent continuous wavelet transform (CWT) representation involving scaled and translated moments, µ1/ α,b (p)=∫χpe-Q\( Ψ(x +b), where ϐ -Q becomes the mother wavelet. The discrete bound states are determined through a multiscale process involving the integration of a finite number of coupled linear first order differential equation in the moments µ1/ α,b (p). The underlying initial value problem depends on moment quantization methods to determine the infinite scale (a = ∞) moments and energy. Using this method we calculate the energies and wavefunctions for the first two quantum states of quartic and dectic anharmonic oscillator potentials, V(x) = mχ2 + gχ4, V(χ) = χ 2+χ10 respectively.
Recommended Citation
Ogbazghi, Asmerom Y., "Application of moment wavelet transform to quantum mechanics" (1998). ETD Collection for AUC Robert W. Woodruff Library. 3307.
http://digitalcommons.auctr.edu/dissertations/3307
Comments
Signature pages are on file with the graduate school. An archival copy of the document is available in the Archives Research center.