In the Coulomb-Sturmian basis the Hamiltonian for a quantum mechanical system with Coulomb plus polynomial potentials exhibits a band-matrix structure. A band-matrix can be considered as a tridiagonal matrix of matrices. This conversion allows for inversion of the infinite matrix to determine the Green's operator of the system. The infinite structure is only simplified during the inversion by using continued fractions which can be solved to the accuracy required.
|Commitee:||Bill, Andreas, Papp, Zoltan, Peterson, Michael|
|School:||California State University, Long Beach|
|Department:||Physics and Astronomy|
|School Location:||United States -- California|
|Source:||MAI 51/04M(E), Masters Abstracts International|
|Subjects:||Quantum physics, Theoretical physics|
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