Quantisation of Extended Objects

TL;DR

This paper develops a strong-coupling perturbation theory for extended objects using a unitary mapping, and compares it with the traditional weak-coupling approach, providing new tools for analyzing nontrivial solutions.

Contribution

It introduces a novel strong-coupling perturbation framework based on unitary mapping, expanding the analytical methods for extended objects in quantum theory.

Findings

Formulation of strong-coupling perturbation theory near nontrivial solutions.

Comparison between strong- and weak-coupling perturbation theories.

Development of a unitary mapping approach for quantum dynamics.

Abstract

The `strong-coupling' perturbation theory over the inverse interaction constant $1/g$ near the nontrivial solution of Lagrange equation is formulated. The ordinary `week-coupling' perturbation theory over $g$ is described also to compare both perturbation theories. The `strong-coupling' perturbation theory is developed by unitary mapping of the quantum dynamics into the space with local coordinates of (action, angle)-type.