Abstract
The method ofo(4,2) operator replacements relies upon a particular realization of theo(4,2) Lie algebra in terms of position and momentum operators, involving a free dimensionless parameter β. The geometrical significance of the operator replacements is given. The momentum space becomes a three-dimensional sphere of radius [exp(β)]/2 (atomic units) embedded in a four-dimensional Euclidean space. A much simpler realization of the replaced operators is obtained.
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de Prunelé, E. 0(4,2) Operator replacements: Geometrical interpretation. Int J Theor Phys 35, 1297–1321 (1996). https://doi.org/10.1007/BF02084942
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DOI: https://doi.org/10.1007/BF02084942