Exact electronic bands for a periodic Poschl-Teller potential

TL;DR

This paper uses supersymmetry to exactly solve the quantum mechanics of a periodic Pöschl-Teller potential, revealing its energy spectra and band structure with high precision.

Contribution

It introduces a supersymmetric method to analytically determine the energy bands of a periodic Pöschl-Teller potential, providing exact solutions.

Findings

Exact energy spectra obtained for the periodic Pöschl-Teller potential

Detailed band structure characterized analytically

Demonstrates supersymmetry as a powerful tool in quantum band analysis

Abstract

We show that supersymmetry is a simple but powerful tool to exactly solve quantum mechanics problems. Here, the supersymmetric approach is used to analyse a quantum system with periodic P\"oschl-Teller potential, and to find out the exact energy spectra and the corresponding band structure.