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SUSY intertwining relations of third order in derivatives. / Ioffe, M. V.; Nishnianidze, D. N.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 327, No. 5-6, 12.07.2004, p. 425-432.

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

Harvard

Ioffe, MV & Nishnianidze, DN 2004, 'SUSY intertwining relations of third order in derivatives', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 327, no. 5-6, pp. 425-432. https://doi.org/10.1016/j.physleta.2004.05.056

APA

Ioffe, M. V., & Nishnianidze, D. N. (2004). SUSY intertwining relations of third order in derivatives. Physics Letters, Section A: General, Atomic and Solid State Physics, 327(5-6), 425-432. https://doi.org/10.1016/j.physleta.2004.05.056

Vancouver

Ioffe MV, Nishnianidze DN. SUSY intertwining relations of third order in derivatives. Physics Letters, Section A: General, Atomic and Solid State Physics. 2004 Jul 12;327(5-6):425-432. https://doi.org/10.1016/j.physleta.2004.05.056

Author

Ioffe, M. V. ; Nishnianidze, D. N. / SUSY intertwining relations of third order in derivatives. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2004 ; Vol. 327, No. 5-6. pp. 425-432.

BibTeX

@article{20f9fbfb75ca4a1e89e7b59e17c224be,
title = "SUSY intertwining relations of third order in derivatives",
abstract = "The general solution of the intertwining relations between a pair of Schr{\"o}dinger Hamiltonians by the supercharges of third order in derivatives is obtained. The solution is expressed in terms of one arbitrary function. Some properties of the spectrum of the Hamiltonian are derived, and wave functions for three energy levels are constructed. This construction can be interpreted as addition of three new levels to the spectrum of partner potential: a ground state and a pair of levels between successive excited states. Possible types of factorization of the third order supercharges are analysed, the connection with earlier known results is discussed.",
keywords = "03.65.-w, 03.65.Fd, 11.30, Intertwining relations, Quasi-exactly-solvable models, Supersymmetrical quantum mechanics",
author = "Ioffe, {M. V.} and Nishnianidze, {D. N.}",
note = "Funding Information: Authors are grateful to A.A. Andrianov for useful discussions in the early stage of the work and for reading of manuscript. This work was partially supported by the Russian Foundation for Fundamental Research (Grant No. 02-01-00499).",
year = "2004",
month = jul,
day = "12",
doi = "10.1016/j.physleta.2004.05.056",
language = "English",
volume = "327",
pages = "425--432",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",
number = "5-6",

}

RIS

TY - JOUR

T1 - SUSY intertwining relations of third order in derivatives

AU - Ioffe, M. V.

AU - Nishnianidze, D. N.

N1 - Funding Information: Authors are grateful to A.A. Andrianov for useful discussions in the early stage of the work and for reading of manuscript. This work was partially supported by the Russian Foundation for Fundamental Research (Grant No. 02-01-00499).

PY - 2004/7/12

Y1 - 2004/7/12

N2 - The general solution of the intertwining relations between a pair of Schrödinger Hamiltonians by the supercharges of third order in derivatives is obtained. The solution is expressed in terms of one arbitrary function. Some properties of the spectrum of the Hamiltonian are derived, and wave functions for three energy levels are constructed. This construction can be interpreted as addition of three new levels to the spectrum of partner potential: a ground state and a pair of levels between successive excited states. Possible types of factorization of the third order supercharges are analysed, the connection with earlier known results is discussed.

AB - The general solution of the intertwining relations between a pair of Schrödinger Hamiltonians by the supercharges of third order in derivatives is obtained. The solution is expressed in terms of one arbitrary function. Some properties of the spectrum of the Hamiltonian are derived, and wave functions for three energy levels are constructed. This construction can be interpreted as addition of three new levels to the spectrum of partner potential: a ground state and a pair of levels between successive excited states. Possible types of factorization of the third order supercharges are analysed, the connection with earlier known results is discussed.

KW - 03.65.-w

KW - 03.65.Fd

KW - 11.30

KW - Intertwining relations

KW - Quasi-exactly-solvable models

KW - Supersymmetrical quantum mechanics

UR - http://www.scopus.com/inward/record.url?scp=3042689777&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2004.05.056

DO - 10.1016/j.physleta.2004.05.056

M3 - Article

AN - SCOPUS:3042689777

VL - 327

SP - 425

EP - 432

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 5-6

ER -

ID: 99376811