Supersymmetric three‐dimensional Schrödinger equations describing central problems do not lead, in general, to supersymmetric one‐dimensional radial equations. Such a context is discussed, in connection with the two main supersymmetrization procedures (with or without spin‐orbit coupling terms). The inverse problem is also considered, starting from a supersymmetric radial equation.
REFERENCES
1.
2.
3.
4.
E. D’Hoker, V. A. Kostelecký, and L. Vinet, “Spectrum generating superalgebras in dynamical groups,” in Spectrum Generating Algebras, edited by A. Barut, A. Bohm, and Y. Ne’eman (World Scientific, Singapore, 1989).
5.
A.
Lahiri
, P. K.
Roy
, and B.
Bagchi
, Int. J. Mod. Phys. A
5
, 1383
(1990
).6.
W. Miller, Jr., “Symmetry and separation of variables,” in Encyclopedia of Mathematics and its Applications (Addison-Wesley, London, 1977), Vol. 4.
7.
8.
9.
10.
11.
J.
Beckers
, N.
Debergh
, and A. G.
Nikitin
, J. Math. Phys.
33
, 152
(1992
).12.
D. H. Sattinger and O. L. Weaver, Lie groups and algebras with applications to physics, geometry, and mechanics (Springer-Verlag, Berlin, 1986).
13.
J.
Beckers
, D.
Dehin
, and V.
Hussin
, J. Math. Phys.
29
, 1705
(1988
).14.
15.
R. Shankar, Principles of Quantum Mechanics (Plenum, New York, 1980).
16.
A.
Comtet
, A. D.
Bandauk
, and D. K.
Campbell
, Phys. Lett. B
150
, 159
(1985
);17.
L. Ntibashirakandi, in preparation.
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© 1995 American Institute of Physics.
1995
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