Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uncertainty Principle in Loop Quantum Cosmology by Moyal Formalism   In this paper we derive the uncertainty principle for the Loop Quantum
Cosmology homogeneous and isotropic FLWR model with the holonomy-flux algebra.
The uncertainty principle is between the variables $c$, with the meaning of
connection and $\mu$ having the meaning of the physical cell volume to the
power $2/3$, i.e $v^{2/3}$ or a plaquette area. Since both $\mu$ and $c$ are
not operators, but rather the random variables, the Robertson uncertainty
principle derivation that works for hermitian operators, can not be used.
Instead we use the Wigner-Moyal-Groenewold phase space formalism. The
Wigner-Moyal-Groenewold formalism was originally applied to the Heisenberg
algebra of the Quantum Mechanics. One can derive from it both the canonical and
path integral QM as well as the uncertainty principle. In this paper we apply
it to the holonomy-flux algebra in case of the homogeneous and isotropic space.
Another result is the expression for the Wigner function on the space of the
cylindrical wave functions defined on $R_b$ in $c$ variables rather than in
dual space $\mu$ variables.

26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex