On the Study of Non-Relativistic Spin Half-Integer Systems

TL;DR

This paper develops a theoretical framework for non-relativistic spin half-integer systems, deriving their equations and Lagrangian, and analyzing their time evolution under time-dependent interactions.

Contribution

It introduces a new equation and Lagrangian formulation for non-relativistic spin half-integer systems and studies their dynamics with time-dependent interactions.

Findings

Derived the equation for non-relativistic spin half-integer systems.

Established the Lagrangian density for these systems.

Analyzed the time evolution under time-dependent interactions.

Abstract

In this article, after introducing appropriate equation for non-relativistic spin half-integer system, Lagrange density of such system has been derived. Then time-evolution of this system in presence of a time-dependent interaction has been done