Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete Moyal-type Representations for a Spin   In Moyal's formulation of quantum mechanics, a quantum spin s is described in
terms of continuous symbols, i.e. by smooth functions on a two-dimensional
sphere. Such prescriptions to associate operators with Wigner functions, P- or
Q-symbols, are conveniently expressed in terms of operator kernels satisfying
the Stratonovich-Weyl postulates. In analogy to this approach, a discrete Moyal
formalism is defined on the basis of a modified set of postulates. It is shown
that appropriately modified postulates single out a well-defined set of kernels
which give rise to discrete symbols. Now operators are represented by functions
taking values on (2s+1)(2s+1) points of the sphere. The discrete symbols
contain no redundant information, contrary to the continuous ones. The
properties of the resulting discrete Moyal formalism for a quantum spin are
worked out in detail and compared to the continuous formalism, and it is
illustrated by the example of a spin 1/2.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int