Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boson Normal Ordering via Substitutions and Sheffer-type Polynomials   We solve the boson normal ordering problem for (q(a*)a + v(a*))^n with
arbitrary functions q and v and integer n, where a and a* are boson
annihilation and creation operators, satisfying [a,a*]=1. This leads to
exponential operators generalizing the shift operator and we show that their
action can be expressed in terms of substitutions. Our solution is naturally
related through the coherent state representation to the exponential generating
functions of Sheffer-type polynomials. This in turn opens a vast arena of
combinatorial methodology which is applied to boson normal ordering and
illustrated by a few examples.

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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio