Polymer state approximations of Schroedinger wave functions

TL;DR

This paper demonstrates how quantum states in the Schrödinger representation can be approximated using polymer states, providing insights into the semiclassical limit of loop quantum gravity.

Contribution

It introduces a method to approximate Schrödinger states with polymer states, bridging quantum mechanics and loop quantum gravity.

Findings

Polymer states can approximate Schrödinger wave functions.

The approach may inform the semiclassical limit in loop quantum gravity.

Provides a new perspective on quantum state representations.

Abstract

It is shown how states of a quantum mechanical particle in the Schroedinger representation can be approximated by states in the so-called polymer representation. The result may shed some light on the semiclassical limit of loop quantum gravity.