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Prog. Theor. Phys. Vol. 98 No. 3 (1997) pp. 707-718
Isospectral Hamiltonians and W1+∞ Algebra
Naruhiko Aizawa and
Haru-Tada Sato*,*)
Department of Applied Mathematics,
Osaka Women's University,
Sakai 590
*The Niels Bohr Institute, University of Copenhagen
Blegdamsvej 17, DK-2100 Copenhagen
(Received April 28, 1997)
Abstract:
We discuss a spectrum generating algebra in a supersymmetric quantum
mechanical system which is defined as a series of solutions to a specific
differential equation. All Hamiltonians have equally-spaced eigenvalues,
and we realize both positive and negative mode generators of
a subalgebra of W1+∞ without use of negative power of
raising/lowering operators of the system.
All features in the supersymmetric case are generalized to
the parasupersymmetric systems of order 2.
URL :
http://ptp.ipap.jp/link?PTP/98/707/
DOI : 10.1143/PTP.98.707
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