Calculation of Expectation Values of S$_{z}$ and S$^{2}$ operators for spin-1 and spin-3/2 particles

TL;DR

This paper calculates the expectation values of S_z and S^2 operators for spin-1 and spin-3/2 particles by expanding general wave functions, confirming standard quantum mechanics results.

Contribution

It provides a method to compute expectation values for higher spin particles using wave function expansion, aligning with established quantum mechanics.

Findings

Results match standard quantum mechanics expectations

Method applicable to various spin states

Validates wave function expansion approach

Abstract

In the present article we calculate the expectation values of of S$_{z}$ and S$^{2}$ operators for spin-1 and spin-3/2 particles by expanding a general wave function which includes all spin values. The results are same as in the stantard quantum mechanics.