Exact quasiclassical asymptotics beyond Maslov canonical operator

TL;DR

This paper introduces a novel method for calculating exact quasiclassical asymptotics of quantum averages that does not rely on the traditional Maslov canonical operator, especially for localized initial data.

Contribution

It proposes a new asymptotic representation for quantum averages that bypasses the need for the Maslov canonical operator in quasiclassical analysis.

Findings

Derived exact quasiclassical asymptotics for quantum averages

Applicable to localized initial data scenarios

Provides an alternative to traditional Maslov-based methods

Abstract

The main purpose of this paper is to calculate exact quasiclassical asymptotic of the quantum averages without any reference to the corresponding quasiclassical asimptotic of the Schr\"odinger wave function {\Psi}(x,t)given via Maslov canonical operator. We suggest a new asymptotic representation for the quantum averages with position variable with localized initial data.