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NEW IMPLICITLY SOLVABLE POTENTIAL PRODUCED BY SECOND ORDER SHAPE INVARIANCE. / Cannata, F.; Ioffe, M.V.; Kolevatova, E.V.; Nishnianidze, D.N.

в: Annals of Physics, Том 356, 2015, стр. 438-451.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Cannata, F, Ioffe, MV, Kolevatova, EV & Nishnianidze, DN 2015, 'NEW IMPLICITLY SOLVABLE POTENTIAL PRODUCED BY SECOND ORDER SHAPE INVARIANCE', Annals of Physics, Том. 356, стр. 438-451. https://doi.org/10.1016/j.aop.2015.03.020

APA

Cannata, F., Ioffe, M. V., Kolevatova, E. V., & Nishnianidze, D. N. (2015). NEW IMPLICITLY SOLVABLE POTENTIAL PRODUCED BY SECOND ORDER SHAPE INVARIANCE. Annals of Physics, 356, 438-451. https://doi.org/10.1016/j.aop.2015.03.020

Vancouver

Cannata F, Ioffe MV, Kolevatova EV, Nishnianidze DN. NEW IMPLICITLY SOLVABLE POTENTIAL PRODUCED BY SECOND ORDER SHAPE INVARIANCE. Annals of Physics. 2015;356:438-451. https://doi.org/10.1016/j.aop.2015.03.020

Author

Cannata, F. ; Ioffe, M.V. ; Kolevatova, E.V. ; Nishnianidze, D.N. / NEW IMPLICITLY SOLVABLE POTENTIAL PRODUCED BY SECOND ORDER SHAPE INVARIANCE. в: Annals of Physics. 2015 ; Том 356. стр. 438-451.

BibTeX

@article{3e410e371a2f4ba09abd5214998f26ca,
title = "NEW IMPLICITLY SOLVABLE POTENTIAL PRODUCED BY SECOND ORDER SHAPE INVARIANCE",
abstract = "The procedure proposed recently by J.Bougie, A.Gangopadhyaya and J.V.Mallow to study the general form of shape invariant potentials in one-dimensional Supersymmetric Quantum Mechanics (SUSY QM) is generalized to the case of Higher Order SUSY QM with supercharges of second order in momentum. A new shape invariant potential is constructed by this method. It is singular at the origin, it grows at infinity, and its spectrum depends on the choice of connection conditions in the singular point. The corresponding Schr\{"}odinger equation is solved explicitly: the wave functions are constructed analytically, and the energy spectrum is defined implicitly via the transcendental equation which involves Confluent Hypergeometric functions.",
keywords = "supersymmetry, solvability, shape invariance",
author = "F. Cannata and M.V. Ioffe and E.V. Kolevatova and D.N. Nishnianidze",
year = "2015",
doi = "10.1016/j.aop.2015.03.020",
language = "English",
volume = "356",
pages = "438--451",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - NEW IMPLICITLY SOLVABLE POTENTIAL PRODUCED BY SECOND ORDER SHAPE INVARIANCE

AU - Cannata, F.

AU - Ioffe, M.V.

AU - Kolevatova, E.V.

AU - Nishnianidze, D.N.

PY - 2015

Y1 - 2015

N2 - The procedure proposed recently by J.Bougie, A.Gangopadhyaya and J.V.Mallow to study the general form of shape invariant potentials in one-dimensional Supersymmetric Quantum Mechanics (SUSY QM) is generalized to the case of Higher Order SUSY QM with supercharges of second order in momentum. A new shape invariant potential is constructed by this method. It is singular at the origin, it grows at infinity, and its spectrum depends on the choice of connection conditions in the singular point. The corresponding Schr\"odinger equation is solved explicitly: the wave functions are constructed analytically, and the energy spectrum is defined implicitly via the transcendental equation which involves Confluent Hypergeometric functions.

AB - The procedure proposed recently by J.Bougie, A.Gangopadhyaya and J.V.Mallow to study the general form of shape invariant potentials in one-dimensional Supersymmetric Quantum Mechanics (SUSY QM) is generalized to the case of Higher Order SUSY QM with supercharges of second order in momentum. A new shape invariant potential is constructed by this method. It is singular at the origin, it grows at infinity, and its spectrum depends on the choice of connection conditions in the singular point. The corresponding Schr\"odinger equation is solved explicitly: the wave functions are constructed analytically, and the energy spectrum is defined implicitly via the transcendental equation which involves Confluent Hypergeometric functions.

KW - supersymmetry

KW - solvability

KW - shape invariance

U2 - 10.1016/j.aop.2015.03.020

DO - 10.1016/j.aop.2015.03.020

M3 - Article

VL - 356

SP - 438

EP - 451

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

ER -

ID: 3931185