Operators and their symbols in the optical probabilistic representation of quantum mechanics

TL;DR

This paper derives explicit expressions for quantum operators within the optical tomography representation, providing a formalism to represent physical quantities as symbols in this framework.

Contribution

It introduces a general formalism for operator symbols in optical tomography and explicitly computes symbols for key physical operators.

Findings

Explicit operator symbols are derived for optical tomography.

The formalism facilitates representing quantum operators as functions in optical tomographic space.

Results enable practical calculations in quantum optics using the optical probabilistic framework.

Abstract

Explicit expressions for most interesting quantum operators in optical tomography representation are found. General formalism of symbols of operators is presented in optical tomographic representation. The symbols of the operators are found explicitly for physical quantities.