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Models for supersymmetric quantum-mechanics


Baake, M and Delbourgo, R and Jarvis, PD, Models for supersymmetric quantum-mechanics, Australian Journal of Physics, 44, (4) pp. 353-362. ISSN 0004-9506 (1991) [Refereed Article]

DOI: doi:10.1071/PH910353


An 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.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Particle and high energy physics
Research Field:Particle physics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
UTAS Author:Jarvis, PD (Dr Peter Jarvis)
ID Code:90696
Year Published:1991
Web of Science® Times Cited:3
Deposited By:Mathematics and Physics
Deposited On:2014-04-16
Last Modified:2014-04-16

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