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Continued fraction representation of...

Demir, Firuz.

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Continued fraction representation of some quantum mechanical Green's operators.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Continued fraction representation of some quantum mechanical Green's operators./
Author:	Demir, Firuz.
Description:	36 p.
Notes:	Adviser: Zoltan Papp.
Contained By:	Masters Abstracts International45-05.
Subject:	Physics, Theory. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1442687

Continued fraction representation of some quantum mechanical Green's operators.
Demir, Firuz.

Continued fraction representation of some quantum mechanical Green's operators. - 36 p.

Adviser: Zoltan Papp.

Thesis (M.S.)--California State University, Long Beach, 2007.

Quantum mechanical Hamilton operators, in some discrete Hilbert-space basis representation, often have infinite symmetric band-matrix structures. In this work, a computational method is developed to determine the corresponding Green's operators. The knowledge of the Green's operator is equivalent to the complete solution of the quantum mechanical problem. If the Hamiltonian is tridiagonal, like in the case of the D-dimensional Coulomb and harmonic oscillator problem, the Green's operator is constructed in terms of continued fractions, which can be connected to the 2F1 hypergeometric functions. If the Hamiltonian has a band-matrix structure, like in the case of Coulomb or harmonic oscillator with polynomial perturbations, the Green's operator is constructed in terms of matrix-valued continued fraction.Subjects--Topical Terms:

1019422
Physics, Theory.

Continued fraction representation of some quantum mechanical Green's operators.
LDR:01627nam 2200253 a 45 001 942222
005 20110519
008 110519s2007 ||||||||||||||||| ||eng d
035 $a (UMI)AAI1442687
035 $a AAI1442687
040 $a UMI $c UMI
100 1 $a Demir, Firuz. $3 1266317
245 1 0 $a Continued fraction representation of some quantum mechanical Green's operators.
300 $a 36 p.
500 $a Adviser: Zoltan Papp.
500 $a Source: Masters Abstracts International, Volume: 45-05, page: 2514.
502 $a Thesis (M.S.)--California State University, Long Beach, 2007.
520 $a Quantum mechanical Hamilton operators, in some discrete Hilbert-space basis representation, often have infinite symmetric band-matrix structures. In this work, a computational method is developed to determine the corresponding Green's operators. The knowledge of the Green's operator is equivalent to the complete solution of the quantum mechanical problem. If the Hamiltonian is tridiagonal, like in the case of the D-dimensional Coulomb and harmonic oscillator problem, the Green's operator is constructed in terms of continued fractions, which can be connected to the 2F1 hypergeometric functions. If the Hamiltonian has a band-matrix structure, like in the case of Coulomb or harmonic oscillator with polynomial perturbations, the Green's operator is constructed in terms of matrix-valued continued fraction.
590 $a School code: 6080.
650 4 $a Physics, Theory. $3 1019422
690 $a 0753
710 2 $a California State University, Long Beach. $3 1017843
773 0 $t Masters Abstracts International $g 45-05.
790 $a 6080
790 1 0 $a Papp, Zoltan, $e advisor
791 $a M.S.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1442687