Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
Shape invariance and SUSY separation of variables. / Ioffe, M. V.; Kolevatova, E. V.; Vereshagin, V.
в: EPJ Web of Conferences, Том 125, 05007, 28.10.2016.Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
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TY - JOUR
T1 - Shape invariance and SUSY separation of variables
AU - Ioffe, M. V.
AU - Kolevatova, E. V.
AU - Vereshagin, V.
N1 - Publisher Copyright: © 2016 The Authors, published by EDP Sciences. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2016/10/28
Y1 - 2016/10/28
N2 - The main ingredients of conventional Supersymmetrical Quantum Mechanics (SUSY QM) are presented. The generalization with supercharges of second order in derivatives - Second Order SUSY - is formulated, and the property of shape invariance is defined. The generalization to two-dimensional coordinate space, after using just these two elements of the modern SUSY QM approach, provides the opportunity to solve analytically some two-dimensional problems. Two different procedures of supersymmetrical separation of variables are formulated. They are illustrated by two-dimensional generalization of the Morse model.
AB - The main ingredients of conventional Supersymmetrical Quantum Mechanics (SUSY QM) are presented. The generalization with supercharges of second order in derivatives - Second Order SUSY - is formulated, and the property of shape invariance is defined. The generalization to two-dimensional coordinate space, after using just these two elements of the modern SUSY QM approach, provides the opportunity to solve analytically some two-dimensional problems. Two different procedures of supersymmetrical separation of variables are formulated. They are illustrated by two-dimensional generalization of the Morse model.
UR - http://www.scopus.com/inward/record.url?scp=85016273031&partnerID=8YFLogxK
U2 - 10.1051/epjconf/201612505007
DO - 10.1051/epjconf/201612505007
M3 - Conference article
VL - 125
JO - EPJ Web of Conferences
JF - EPJ Web of Conferences
SN - 2100-014X
M1 - 05007
T2 - 19th International Seminar on High Energy Physics, QUARKS 2016
Y2 - 29 May 2016 through 4 June 2016
ER -
ID: 7598835