Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operational Theories in Phase Space: Toy Model for the Harmonic
  Oscillator   We show how to construct general probabilistic theories that contain an
energy observable dependent on position and momentum. The construction is in
accordance with classical and quantum theory and allows for physical
predictions, such as the probability distribution for position, momentum and
energy. We demonstrate the construction by formulating a toy model for the
harmonic oscillator that is neither classical nor quantum. The model features a
discrete energy spectrum, a ground state with sharp position and momentum, an
eigenstate with non-positive Wigner function as well as a state that has
tunneling properties. The toy model demonstrates that operational theories can
be a viable alternative approach for formulating physical theories.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int