Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinitesimal and Infinite Numbers as an Approach to Quantum Mechanics   Non-Archimedean mathematics is an approach based on fields which contain
infinitesimal and infinite elements. Within this approach, we construct a space
of a particular class of generalized functions, ultrafunctions. The space of
ultrafunctions can be used as a richer framework for a description of a
physical system in quantum mechanics. In this paper, we provide a discussion of
the space of ultrafunctions and its advantages in the applications of quantum
mechanics, particularly for the Schr\"{o}dinger equation for a Hamiltonian with
the delta function potential.

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The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th