Spin of Particle: Charge & Neutrality Effects

In summary, spin is assigned to a particle based on its symmetry under spatial rotations in quantum mechanics. This is achieved through the use of spinors, which behave in a specific way under rotations. The procedure for assigning spin requires an understanding of group theory and irreducible representations. For more information, refer to the blog post by marlon97 at the given link.
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shakeel
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0
how the spin is associated with a particle. is there a difference in spin for charge particle and a neutral particle, i mean difference in spin due to charge or spin is independent of charge. what is procedure to assign spin to a particle? p help.
 
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  • #2
The procedure which introduces spin formally, requires you to know some group theory : irreducible representations (IR) of a symmetry group etc. Do you know this ? If not, answering your question is going to be difficult.

In short : spin is assigned because of symmetry. More specifically, in QM the following concepts are invariant under spatial rotations:

1) the normalization of the wavefunction
2) the expectation value of any observable
3) the Hamiltonian



For this symmetry to be respected, the wavefunctions need to "behave" in a certain way under such rotations. Mathematically one says : the wavefunctions need to transform under certain IR of the rotational symmetry group.

One set of wavefunctions that respects this demand are the spinors. They are defined based upon their behaviour under rotatios. If A is a spinor and you rotate it 360 degress you get -A.

To read the full story, go check https://www.physicsforums.com/blogs/marlon-13790/what-is-spin-152/

marlon
 
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The spin of a particle is a fundamental property that is associated with its intrinsic angular momentum. It is a quantum mechanical property and cannot be visualized in classical terms. The spin of a particle is denoted by the quantum number, s, and can have values of 0, 1/2, 1, 3/2, etc.

There is a difference in spin for charged particles and neutral particles. This is because the spin of a particle is independent of its charge. In other words, the spin does not depend on whether the particle has a positive or negative charge, or no charge at all. The spin is a fundamental property of a particle and is not affected by its charge.

The procedure to assign spin to a particle is based on experimental observations and theoretical calculations. In order to determine the spin of a particle, scientists use various techniques such as scattering experiments, spectroscopy, and quantum field theory calculations. These methods help to determine the spin of a particle by studying its interactions with other particles and fields.

In summary, the spin of a particle is a fundamental property associated with its intrinsic angular momentum. It is independent of the particle's charge and is determined through experimental and theoretical methods.
 

Related to Spin of Particle: Charge & Neutrality Effects

1. What is spin and how does it affect particles?

Spin is an intrinsic property of particles that determines how they interact with magnetic fields. It is similar to the rotation of a spinning top and can have a value of either +1/2 or -1/2. The spin of a particle affects its behavior in many ways, including determining its angular momentum and magnetic moment.

2. How does charge affect the spin of a particle?

The charge of a particle does not directly affect its spin. However, the spin of a charged particle can affect its behavior in an electromagnetic field. For example, a charged particle with a non-zero spin will experience a force when placed in a magnetic field.

3. Can particles have both a positive and negative charge at the same time?

No, according to the Standard Model of particle physics, particles cannot have both a positive and negative charge simultaneously. This is because particles with opposite charges cancel each other out and are considered neutral.

4. What is the significance of particle neutrality?

Particle neutrality refers to the balance of positive and negative charges in a particle. In nature, most particles are electrically neutral, meaning they have an equal number of positive and negative charges. This allows particles to interact with each other without being repelled or attracted due to electric forces.

5. How are neutrinos affected by spin and charge?

Neutrinos are particles that have a spin of 1/2 and a neutral charge. This means they do not interact with electromagnetic fields and are only affected by the weak nuclear force. The spin of neutrinos is important in determining their behavior, as it affects their interactions with other particles and their ability to change into different types of neutrinos.

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