Electron Spin Precession for the Time Fractional Pauli Equation

TL;DR

This paper introduces a time fractional Pauli equation with Caputo derivative to analyze electron spin precession in a magnetic field, extending fractional calculus applications in quantum mechanics.

Contribution

It presents a novel fractional differential equation for quantum spin dynamics, expanding the mathematical framework of quantum mechanics with fractional calculus.

Findings

Derived a new fractional Pauli equation with Caputo derivative

Analyzed electron spin precession using the fractional equation

Extended fractional calculus applications in quantum physics

Abstract

In this work, we aim to extend the application of the fractional calculus in the realm of quantum mechanics. We present a time fractional Pauli equation containing Caputo fractional derivative. By use of the new equation we study the electron spin precession problem in a homogeneous constant magnetic field.