Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The operator form of the effective potential governing the time
  evolution in n-dimensional subspace of states   This paper presents the operator form of the effective potential V governing
the time evolution in 2 and 3 and n dimensional subspace of states. The general
formula for the n dimensional case is considered the starting point for the
calculation of the explicit formulae for 2 and 3 dimensional degenerate and
non-degenerate cases. We relate the 2 and 3 dimensional cases to some physical
systems which are currently investigated.

37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph