ISSN:
1089-7658
Quelle:
AIP Digital Archive
Thema:
Mathematik
,
Physik
Notizen:
The wave functions for bosons and fermions, classified according to the supergroup chain U(N/M)⊃OSp(N/M)⊃O(N)×Sp(M)⊃⋅ ⋅ ⋅, are given in this paper. The method presented here adheres closely to the standard raising and lowering method commonly used in quantum mechanics. When the so-called star representation [n} is decomposed into the irreducible representation of the OSp(N/M), one obtains a reducible, but not completely reducible, representation of the OSp(N/M). This decomposition is quite different from a regular Lie group chain and has very interesting physical implications.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1063/1.526897
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