Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Mechanical Observables under a Symplectic Transformation of
  Coordinates   We consider a general symplectic transformation (also known as linear
canonical transformation) of quantum-mechanical observables in a quantized
version of a finite-dimensional system with configuration space isomorphic to $
\mathbb{R}^{q} $. Using the formalism of rigged Hilbert spaces, we define
eigenstates for all the observables. Then we work out the explicit form of the
corresponding transformation of these eigenstates. A few examples are included
at the end of the paper.

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The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th