Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variable Planck's constant and scaling properties of states on Weyl
  algebra   We consider the possible quantum effect for infinite systems produced by
variations of the Planck's constant. Using the algebraic formulation of quantum
theory we study behaviour of states $\omega$ defined as positive, normalized
functionals on the canonical commutation relations algebra (CCR-algebra) under
the changes of the defining relations of the CCR. These defining relations of
the multiplication in the CCR-algebra depend explicitly on the value of the
Planck's constant. We analyse to what extend changes of the $\hbar$ preserve
the original state space (this gives restrictions on the admissible changes of
the Plank's constant) and what properties have original quantum states $\omega$
as states on the new algebra. We answer such questions for the quasi-free
states. We show that any universally invariant state can be interpreted as a
convex combination of Fock states with different values of Planck's constant.
The second important class of states we study are the KMS-states, here the
rescaling alters in a nontrivial way the relevant dynamics. We also show that
it is possible to go beyond the limits restricting the changes of the $\hbar$,
but then one has to restrict the CCR-algebra to a subalgebra.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th