Exact analytical expression for magnetoresistance using quantum groups

TL;DR

This paper derives an exact analytical formula for magnetoresistance employing noncommutative geometry and quantum groups, revealing a profound link between magnetoresistance and the quantum group $su_q(2)$, enhancing understanding of quantum corrections to conductivity.

Contribution

It introduces a novel exact analytical expression for magnetoresistance based on quantum groups and noncommutative geometry, establishing a new theoretical connection.

Findings

Exact formula for magnetoresistance derived

Deep relationship between magnetoresistance and $su_q(2)$ quantum group identified

Quantum interpretation of conductivity corrections clarified

Abstract

We obtain an exact analytical expression for magnetoresistance using noncommutative geometry and quantum groups.Then we will show that there is a deep relationship between magnetoresistance and the quantum group $su_{q}(2)$, from which we understand the quantum interpretation of the quantum corrections to the conductivity.