# Spin Property of Particles: In-Depth Explanation

• CuriousJonathan
In summary, the spin property of particles is a fundamental characteristic that describes the intrinsic angular momentum of subatomic particles. It is a quantized property that can only have certain discrete values and is measured using techniques such as the Stern-Gerlach experiment. The spin plays a crucial role in understanding the behavior and interactions of particles, and it also helps classify them into different groups. While most particles have spin values of 1/2 or 1, some can have higher values. The spin property is also related to the Pauli exclusion principle, which states that no two identical fermions can occupy the same quantum state simultaneously.
CuriousJonathan
Hey, I was wondering if anyone could give me an in-depth conceptual explanation of the spin property of particles, or point me to wherever I could find one. Thanks!

Books...Third volume of Feynman or the 3-rd chapter of Sakurai.Depends on how much maths & QM u already know...

Daniel.

physics for scientists and engineers (Cutnell and Johnson?)

the 30th chapter explains it quite superficially, relative to a full blown QM course.

## 1. What is spin property of particles?

The spin property of particles refers to a fundamental characteristic of subatomic particles, such as electrons, protons, and neutrons. It is a quantum mechanical property that describes the intrinsic angular momentum of a particle, similar to how a spinning top has angular momentum. However, unlike classical spinning objects, the spin of a particle cannot be visualized as a literal spinning motion, but rather as an intrinsic property that affects the behavior and interactions of the particle.

## 2. How is spin measured?

Spin is a quantized property, meaning it can only have certain discrete values. In quantum mechanics, spin is described in terms of a quantum number, denoted as "s." For example, the spin of an electron has a value of 1/2. Spin can be measured experimentally using techniques such as Stern-Gerlach experiment, which involves passing a beam of particles through a magnetic field and observing the deflection of the particles to determine their spin values.

## 3. What is the significance of spin in particle physics?

The spin property of particles plays a crucial role in understanding the behavior and interactions of subatomic particles. It is a fundamental property that is conserved in all interactions, and it affects the magnetic properties, stability, and decay of particles. The spin also helps to classify particles into different groups, such as fermions (particles with half-integer spin) and bosons (particles with integer spin), which have different behaviors and properties.

## 4. Can particles have a spin value other than 1/2 or 1?

Yes, particles can have spin values other than 1/2 or 1. In fact, particles with spin values up to 7/2 have been observed. However, the spin values of most particles are either 1/2 or 1, with the exception of some exotic particles with higher spin values. The spin values of particles are determined by their intrinsic properties and cannot be changed or altered.

## 5. How does spin relate to the Pauli exclusion principle?

The Pauli exclusion principle states that no two identical fermions can occupy the same quantum state simultaneously. This principle is a consequence of the spin property of particles, as fermions have half-integer spin values. The spin value of a particle determines its quantum state, and since no two fermions can have the same spin value, they cannot occupy the same quantum state. This principle is essential in understanding the behavior of atoms, molecules, and other condensed matter systems.

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