RT Journal Article
T1 Real Lie algebras of differential operators and quasi-exactly solvable potentials
A1 González López, Artemio
A1 Kamran, Niky
A1 Olver, Peter J.
AB We first establish some general results connecting real and complex Lie algebras ofirst-order diferential operators. These are applied to completely classify all finite-dimensional real Lie algebras of  first-order diferential operators in R^2 . Furthermore, we  find all algebras which are quasi-exactly solvable, along with the associated finitedimensional modules of analytic functions. The resulting real Lie algebras are used to construct new quasi-exactly solvable Schrödinger operators on R^2
PB Royal Society of London
SN 1364-503X
YR 1996
FD 1996-03-15
LK https://hdl.handle.net/20.500.14352/59728
UL https://hdl.handle.net/20.500.14352/59728
LA eng
NO © Royal Society of London.Acknowledgment: It is a pleasure to thank the referees for useful comments.Supported in part by DGICYT Grant PB92-0197.Supported in part by an NSERC Grant.Supported in part by NSF Grants DMS 92-04192 and 95-00931.
NO DGICYT
NO NSERC
NO NSF
DS Docta Complutense
RD 7 abr 2025