The parastatistics Fock space and explicit Lie superalgebra representations
نویسندگان
چکیده
منابع مشابه
A class of infinite-dimensional representations of the Lie superalgebra osp(2m+ 1|2n) and the parastatistics Fock space
An orthogonal basis of weight vectors for a class of infinite-dimensional representations of the orthosymplectic Lie superalgebra osp(2m+1|2n) is introduced. These representations are particular lowest weight representations V (p), with a lowest weight of the form [−p2 , . . . ,− p 2 | p 2 , . . . , p 2 ], p being a positive integer. Explicit expressions for the transformation of the basis unde...
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It is known that the defining relations of the orthosymplectic Lie superalgebra osp(1|2n) are equivalent to the defining (triple) relations of n pairs of paraboson operators b i . In particular, with the usual star conditions, this implies that the “parabosons of order p” correspond to a unitary irreducible (infinite-dimensional) lowest weight representation V (p) of osp(1|2n). Apart from the s...
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The defining relations (triple relations) of n pairs of parafermion operators f j (j = 1, . . . , n) are known to coincide with a set of defining relations for the Lie algebra so(2n+ 1) in terms of 2n generators. With the common Hermiticity conditions, this means that the “parafermions of order p” correspond to a finite-dimensional unitary irreducible representationW (p) of so(2n+1), with highe...
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New algebraic structure on electronic Fock space is studied in detail. This structure is defined in terms of a certain multiplication of many electron wave functions and has close interrelation with coupled cluster and similar approaches. Its study clarifies and simplifies the mathematical backgrounds of these approaches. And even more, it leads to many relations that would be very difficult to...
متن کاملFock space representations
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2013
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/46/47/475202