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New two-dimensional quantum models partially solvable by the supersymmetrical approach. / Ioffe, M.V.; Valinevich, P.A.

In: Journal of Physics A: Mathematical and General, No. 11, 2005, p. 2497-2510.

Research output: Contribution to journal › Article

Harvard

Ioffe, MV & Valinevich, PA 2005, 'New two-dimensional quantum models partially solvable by the supersymmetrical approach', Journal of Physics A: Mathematical and General, no. 11, pp. 2497-2510. <http://elibrary.ru/item.asp?id=11983153>

APA

Ioffe, M. V., & Valinevich, P. A. (2005). New two-dimensional quantum models partially solvable by the supersymmetrical approach. Journal of Physics A: Mathematical and General, (11), 2497-2510. http://elibrary.ru/item.asp?id=11983153

Vancouver

Ioffe MV, Valinevich PA. New two-dimensional quantum models partially solvable by the supersymmetrical approach. Journal of Physics A: Mathematical and General. 2005;(11):2497-2510.

Author

Ioffe, M.V. ; Valinevich, P.A. / New two-dimensional quantum models partially solvable by the supersymmetrical approach. In: Journal of Physics A: Mathematical and General. 2005 ; No. 11. pp. 2497-2510.

BibTeX

@article{d055ef4a428d40e295e525d8210c7ea2,
title = "New two-dimensional quantum models partially solvable by the supersymmetrical approach",
abstract = "New solutions for second-order intertwining relations in two-dimensional SUSY QM are found via repeated use of the first-order supersymmetrical transformations with intermediate constant unitary rotation. Potentials obtained by this method - two-dimensional generalized P{\"o}schl-Teller potentials - appear to be shape-invariant. The recently proposed method of SUSY - separation of variables - is implemented to obtain a part of their spectra, including the ground state. Explicit expressions for energy eigenvalues and corresponding normalizable eigenfunctions are given in an analytic form. Intertwining relations of higher orders are discussed. {\textcopyright} 2005 IOP Publishing Ltd.",
author = "M.V. Ioffe and P.A. Valinevich",
year = "2005",
language = "English",
pages = "2497--2510",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "11",

}

RIS

TY - JOUR

T1 - New two-dimensional quantum models partially solvable by the supersymmetrical approach

AU - Ioffe, M.V.

AU - Valinevich, P.A.

PY - 2005

Y1 - 2005

N2 - New solutions for second-order intertwining relations in two-dimensional SUSY QM are found via repeated use of the first-order supersymmetrical transformations with intermediate constant unitary rotation. Potentials obtained by this method - two-dimensional generalized Pöschl-Teller potentials - appear to be shape-invariant. The recently proposed method of SUSY - separation of variables - is implemented to obtain a part of their spectra, including the ground state. Explicit expressions for energy eigenvalues and corresponding normalizable eigenfunctions are given in an analytic form. Intertwining relations of higher orders are discussed. © 2005 IOP Publishing Ltd.

AB - New solutions for second-order intertwining relations in two-dimensional SUSY QM are found via repeated use of the first-order supersymmetrical transformations with intermediate constant unitary rotation. Potentials obtained by this method - two-dimensional generalized Pöschl-Teller potentials - appear to be shape-invariant. The recently proposed method of SUSY - separation of variables - is implemented to obtain a part of their spectra, including the ground state. Explicit expressions for energy eigenvalues and corresponding normalizable eigenfunctions are given in an analytic form. Intertwining relations of higher orders are discussed. © 2005 IOP Publishing Ltd.

M3 - Article

SP - 2497

EP - 2510

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 11

ER -

ID: 5012979