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Models for supersymmetric quantum-mechanics
journal contribution
posted on 2023-05-17, 23:51 authored by Baake, M, Robert DelbourgoRobert Delbourgo, Peter JarvisPeter JarvisAn algebraic view of supersymmetric quantum mechanics is taken, emphasising the couplings between bosonic and fermionic modes in the supercharges. A class of model Hamiltonians is introduced wherein the fermionic (bosonic) operators are canonical and the bosonic (fermionic) ones satisfy a Lie algebra (superalgebra) whose representation theory permits the complete solution of the model in principle. The kinematical symmetry of such models is also described. The examples of one and two bosonic models, with 5U(2) and 5U(3) dynamical algebras respectively, are analysed in detail.
History
Publication title
Australian Journal of PhysicsVolume
44Issue
4Pagination
353-362ISSN
0004-9506Department/School
School of Natural SciencesPublisher
CSIROPlace of publication
AustraliaRepository Status
- Restricted