Quadratic tomography star product algebra and its classical limit

TL;DR

This paper explores the algebraic structure of quadratic tomography within star product formalism, analyzing its classical limit as Planck's constant approaches zero and illustrating a deformation example.

Contribution

It introduces the quadratic tomography star product algebra and examines its classical limit, providing insights into its deformation properties.

Findings

The algebra contracts to a classical limit as 7

A simple k-deformation example is demonstrated

Behavior of quadratic tomographic symbols in the 7 limit is characterized

Abstract

We consider quadratic tomography in star product formalism. The contraction and the behavior of the associative algebra of quadratic tomographic symbols in $\hbar\rightarrow 0$ limit are discussed. A simple $k$-deformation example is illustrated.