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Double shape invariance of the two-dimensional singular Morse model. / Cannata, F.; Ioffe, M. V.; Nishnianidze, D. N.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 340, No. 1-4, 06.06.2005, p. 31-36.

Research output: Contribution to journal › Article › peer-review

Harvard

Cannata, F, Ioffe, MV & Nishnianidze, DN 2005, 'Double shape invariance of the two-dimensional singular Morse model', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 340, no. 1-4, pp. 31-36. https://doi.org/10.1016/j.physleta.2005.03.071

APA

Cannata, F., Ioffe, M. V., & Nishnianidze, D. N. (2005). Double shape invariance of the two-dimensional singular Morse model. Physics Letters, Section A: General, Atomic and Solid State Physics, 340(1-4), 31-36. https://doi.org/10.1016/j.physleta.2005.03.071

Vancouver

Cannata F, Ioffe MV, Nishnianidze DN. Double shape invariance of the two-dimensional singular Morse model. Physics Letters, Section A: General, Atomic and Solid State Physics. 2005 Jun 6;340(1-4):31-36. https://doi.org/10.1016/j.physleta.2005.03.071

Author

Cannata, F. ; Ioffe, M. V. ; Nishnianidze, D. N. / Double shape invariance of the two-dimensional singular Morse model. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2005 ; Vol. 340, No. 1-4. pp. 31-36.

BibTeX

@article{901427b98c8a44efac60be8f23b7f8b6,
title = "Double shape invariance of the two-dimensional singular Morse model",
abstract = "A second shape invariance property of the two-dimensional generalized Morse potential is discovered. Though the potential is not amenable to conventional separation of variables, the above property allows to build purely algebraically part of the spectrum and corresponding wave functions, starting from one definite state, which can be obtained by the method of SUSY-separation of variables, proposed recently.",
keywords = "Partial solvability, Shape invariance, Supersymmetrical quantum mechanics",
author = "F. Cannata and Ioffe, {M. V.} and Nishnianidze, {D. N.}",
note = "Funding Information: M.V.I. and D.N.N. are grateful to the University of Bologna and INFN for support and kind hospitality. This work was partially supported by the Russian Foundation for Fundamental Research (Grant No. 05-01-01090).",
year = "2005",
month = jun,
day = "6",
doi = "10.1016/j.physleta.2005.03.071",
language = "English",
volume = "340",
pages = "31--36",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",
number = "1-4",

}

RIS

TY - JOUR

T1 - Double shape invariance of the two-dimensional singular Morse model

AU - Cannata, F.

AU - Ioffe, M. V.

AU - Nishnianidze, D. N.

N1 - Funding Information: M.V.I. and D.N.N. are grateful to the University of Bologna and INFN for support and kind hospitality. This work was partially supported by the Russian Foundation for Fundamental Research (Grant No. 05-01-01090).

PY - 2005/6/6

Y1 - 2005/6/6

N2 - A second shape invariance property of the two-dimensional generalized Morse potential is discovered. Though the potential is not amenable to conventional separation of variables, the above property allows to build purely algebraically part of the spectrum and corresponding wave functions, starting from one definite state, which can be obtained by the method of SUSY-separation of variables, proposed recently.

AB - A second shape invariance property of the two-dimensional generalized Morse potential is discovered. Though the potential is not amenable to conventional separation of variables, the above property allows to build purely algebraically part of the spectrum and corresponding wave functions, starting from one definite state, which can be obtained by the method of SUSY-separation of variables, proposed recently.

KW - Partial solvability

KW - Shape invariance

KW - Supersymmetrical quantum mechanics

UR - http://www.scopus.com/inward/record.url?scp=19444383997&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2005.03.071

DO - 10.1016/j.physleta.2005.03.071

M3 - Article

AN - SCOPUS:19444383997

VL - 340

SP - 31

EP - 36

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 1-4

ER -

ID: 99374772