Supersymmetric quantum mechanics defined as sesquilinear forms
- 11 September 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (13) , 4265-4284
- https://doi.org/10.1088/0305-4470/20/13/030
Abstract
A formulation of supersymmetric quantum mechanics in terms of sesquilinear forms is presented. Otherwise occurring rather complicated domain questions are solved in a simple and natural way. The authors formulate the axioms and describe a number of models. Supersymmetry transformations are implemented as superunitary transformations in a space defined over a Grassmann algebra, generalised Bogoliubov transformations acting in that space are also formulated.Keywords
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