Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comment on ``Symplectic quantization, inequivalent quantum theories, and
  Heisenberg's principle of uncertainty''   In Phys. Rev. A 70, 032104 (2004), M. Montesinos and G. F. Torres del
Castillo consider various symplectic structures on the classical phase space of
the two-dimensional isotropic harmonic oscillator. Using Dirac's quantization
condition, the authors investigate how these alternative symplectic forms
affect this system's quantization. They claim that these symplectic structures
result in mutually inequivalent quantum theories. In fact, we show here that
there exists a unitary map between the two representation spaces so that the
various quantizations are equivalent.

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The categories of this paper are: astro-ph
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The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
1
The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: math-ph