Renormalization group and continuum limit in Quantum Mechanics

TL;DR

This paper introduces the concept of running coupling constants in Quantum Mechanics and explores their evolution using the renormalization group equation, providing a new perspective on the continuum limit.

Contribution

It applies renormalization group techniques to Quantum Mechanics, establishing a framework for understanding scale dependence of coupling constants.

Findings

Demonstrates the use of renormalization group equations in Quantum Mechanics.

Provides insights into the continuum limit through running coupling constants.

Lays groundwork for further applications in quantum field theories.

Abstract

The running coupling constants are introduced in Quantum Mechanics and their evolution is described by the help of the renormalization group equation.