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Analytical Solution of Two-dimensional Scarf II Model by Means of SUSY Methods. / Ioffe, M.V.; Krupitskaya, E.V.; Nishnianidze, D.N.

In: Annals of Physics, Vol. 327, No. 3, 2012, p. 764-773.

Research output: Contribution to journal › Article

Harvard

Ioffe, MV, Krupitskaya, EV & Nishnianidze, DN 2012, 'Analytical Solution of Two-dimensional Scarf II Model by Means of SUSY Methods', Annals of Physics, vol. 327, no. 3, pp. 764-773. https://doi.org/10.1016/j.aop.2011.11.008

APA

Ioffe, M. V., Krupitskaya, E. V., & Nishnianidze, D. N. (2012). Analytical Solution of Two-dimensional Scarf II Model by Means of SUSY Methods. Annals of Physics, 327(3), 764-773. https://doi.org/10.1016/j.aop.2011.11.008

Vancouver

Ioffe MV, Krupitskaya EV, Nishnianidze DN. Analytical Solution of Two-dimensional Scarf II Model by Means of SUSY Methods. Annals of Physics. 2012;327(3):764-773. https://doi.org/10.1016/j.aop.2011.11.008

Author

Ioffe, M.V. ; Krupitskaya, E.V. ; Nishnianidze, D.N. / Analytical Solution of Two-dimensional Scarf II Model by Means of SUSY Methods. In: Annals of Physics. 2012 ; Vol. 327, No. 3. pp. 764-773.

BibTeX

@article{c63decd5569f47b383badb59a35647bf,
title = "Analytical Solution of Two-dimensional Scarf II Model by Means of SUSY Methods",
abstract = "A new two-dimensional quantum model—a generalization of Scarf II—is completely solved analytically for integer values of the parameter. This model not being amenable to the conventional procedure of separation of variables is solved by a recently proposed method of supersymmetrical separation. The latter is based on two constituents of SUSY Quantum Mechanics: the intertwining relations with second order supercharges and the property of shape invariance. As a result, all energies of bound states were found, and the analytical expressions for corresponding wave functions were obtained.",
keywords = "Supersymmetry, Supersymmetrical Quantum Mechanics, Solvable models of Quantum Mechanics, Integrability, Shape invariance",
author = "M.V. Ioffe and E.V. Krupitskaya and D.N. Nishnianidze",
year = "2012",
doi = "10.1016/j.aop.2011.11.008",
language = "English",
volume = "327",
pages = "764--773",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Elsevier",
number = "3",

}

RIS

TY - JOUR

T1 - Analytical Solution of Two-dimensional Scarf II Model by Means of SUSY Methods

AU - Ioffe, M.V.

AU - Krupitskaya, E.V.

AU - Nishnianidze, D.N.

PY - 2012

Y1 - 2012

N2 - A new two-dimensional quantum model—a generalization of Scarf II—is completely solved analytically for integer values of the parameter. This model not being amenable to the conventional procedure of separation of variables is solved by a recently proposed method of supersymmetrical separation. The latter is based on two constituents of SUSY Quantum Mechanics: the intertwining relations with second order supercharges and the property of shape invariance. As a result, all energies of bound states were found, and the analytical expressions for corresponding wave functions were obtained.

AB - A new two-dimensional quantum model—a generalization of Scarf II—is completely solved analytically for integer values of the parameter. This model not being amenable to the conventional procedure of separation of variables is solved by a recently proposed method of supersymmetrical separation. The latter is based on two constituents of SUSY Quantum Mechanics: the intertwining relations with second order supercharges and the property of shape invariance. As a result, all energies of bound states were found, and the analytical expressions for corresponding wave functions were obtained.

KW - Supersymmetry

KW - Supersymmetrical Quantum Mechanics

KW - Solvable models of Quantum Mechanics

KW - Integrability

KW - Shape invariance

U2 - 10.1016/j.aop.2011.11.008

DO - 10.1016/j.aop.2011.11.008

M3 - Article

VL - 327

SP - 764

EP - 773

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

IS - 3

ER -

ID: 5301752