Exact stochastic Liouville and Schr\"{o}dinger equations for open systems

TL;DR

This paper introduces a unified kinetic equation framework for open systems that bridges classical and quantum cases, extending the wave function concept to open quantum systems and deriving a stochastic Schrödinger equation with practical applications.

Contribution

It presents a universal kinetic equation for open systems that unifies classical and quantum descriptions and extends the wave function concept to open quantum systems.

Findings

Derived a stochastic Schrödinger equation for open systems

Unified classical and quantum kinetic descriptions

Illustrated application in inelastic scattering in quantum channels

Abstract

An universal form of kinetic equation for open systems is considered which naturally unifies classical and quantum cases and allows to extend concept of wave function to open quantum systems. Corresponding stochastic Schr\"{o}dinger equation is derived and illustrated by the example of inelastic scattering in quantum conduction channel.