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Continued fraction representation of...

Demir, Firuz.

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Continued fraction representation of some quantum mechanical Green's operators./
作者:	Demir, Firuz.
面頁冊數:	36 p.
附註:	Adviser: Zoltan Papp.
Contained By:	Masters Abstracts International45-05.
標題:	Physics, Theory. -
電子資源:	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.
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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