Evolution equation of quantum tomograms for a driven oscillator in the case of the general linear quantization

TL;DR

This paper derives the evolution equation of quantum tomograms for a driven oscillator using symlectic quantum tomography and Wigner function techniques, providing a theoretical framework for understanding quantum state dynamics.

Contribution

It introduces symlectic quantum tomography for general linear quantization and derives the evolution equation for quantum tomograms of a driven oscillator.

Findings

Derived the evolution equation of quantum tomograms for a driven oscillator.

Established a connection between symlectic quantum tomography and Wigner function techniques.

Provided a theoretical basis for analyzing quantum state evolution in driven systems.

Abstract

The symlectic quantum tomography for the general linear quantization is introduced. Using the approach based upon the Wigner function techniques the evolution equation of quantum tomograms is derived for a parametric driven oscillator.