Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Calculus Based on a q-deformed Heisenberg Algebra   We show how one can construct a differential calculus over an algebra where
position variables x and momentum variables p have be defined. As the simplest
example we consider the one-dimensional q-deformed Heisenberg algebra. This
algebra has a subalgebra generated by x and its inverse which we call the
coordinate algebra. A physical field is considered to be an element of the
completion of this algebra. We can construct a derivative which leaves
invariant the coordinate algebra and so takes physical fields into physical
fields. A generalized Leibniz rule for this algebra can be found. Based on this
derivative differential forms and an exterior differential calculus can be
constructed.

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The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci