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Polynomial SUSY in quantum mechanics and second derivative Darboux transformations. / Andrianov, A. A.; Ioffe, M. V.; Nishnianidze, D. N.

в: Physics Letters A, Том 201, № 2-3, 22.05.1995, стр. 103-110.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Andrianov, A. A. ; Ioffe, M. V. ; Nishnianidze, D. N. / Polynomial SUSY in quantum mechanics and second derivative Darboux transformations. в: Physics Letters A. 1995 ; Том 201, № 2-3. стр. 103-110.

BibTeX

@article{ae54cb2a6308486ba66c32dacebd9bf5,
title = "Polynomial SUSY in quantum mechanics and second derivative Darboux transformations",
abstract = "We give a classification of second-order polynomial SUSY quantum mechanics in one and two dimensions. Particular attention is paid to the irreducible supercharges which cannot be built by repetition of ordinary Darboux transformations. In two dimensions it is found that the binomial superalgebra leads to the dynamic symmetry generated by a central charge operator.",
author = "Andrianov, {A. A.} and Ioffe, {M. V.} and Nishnianidze, {D. N.}",
note = "Funding Information: This work was supportedp artially by the Russian Foundation for Fundamental Research (Grant No. 94-01-01 157-a) and by GRACENAS (Grant No. 1081). One of us (D.N.N.) is grateful to Professor A. Kostava for encouragementa nd support.",
year = "1995",
month = may,
day = "22",
doi = "10.1016/0375-9601(95)00248-2",
language = "English",
volume = "201",
pages = "103--110",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",
number = "2-3",

}

RIS

TY - JOUR

T1 - Polynomial SUSY in quantum mechanics and second derivative Darboux transformations

AU - Andrianov, A. A.

AU - Ioffe, M. V.

AU - Nishnianidze, D. N.

N1 - Funding Information: This work was supportedp artially by the Russian Foundation for Fundamental Research (Grant No. 94-01-01 157-a) and by GRACENAS (Grant No. 1081). One of us (D.N.N.) is grateful to Professor A. Kostava for encouragementa nd support.

PY - 1995/5/22

Y1 - 1995/5/22

N2 - We give a classification of second-order polynomial SUSY quantum mechanics in one and two dimensions. Particular attention is paid to the irreducible supercharges which cannot be built by repetition of ordinary Darboux transformations. In two dimensions it is found that the binomial superalgebra leads to the dynamic symmetry generated by a central charge operator.

AB - We give a classification of second-order polynomial SUSY quantum mechanics in one and two dimensions. Particular attention is paid to the irreducible supercharges which cannot be built by repetition of ordinary Darboux transformations. In two dimensions it is found that the binomial superalgebra leads to the dynamic symmetry generated by a central charge operator.

UR - http://www.scopus.com/inward/record.url?scp=0000211864&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(95)00248-2

DO - 10.1016/0375-9601(95)00248-2

M3 - Article

AN - SCOPUS:0000211864

VL - 201

SP - 103

EP - 110

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 2-3

ER -

ID: 99374141