New to Spin Angular Momentum? Ask Here

In summary, spin angular momentum is a fundamental quantum mechanical property of all particles that describes their intrinsic angular momentum. It differs from orbital angular momentum in that it is an internal property of the particle, rather than involving physical rotation. All particles, including subatomic particles and composite particles, have spin angular momentum. It is measured in units of "spin," denoted by ℏ, and has various applications in fields such as physics, chemistry, and engineering.
  • #1
i.mehrzad
84
0
I am new to this forum.
Well anyway that is not important.
My question
Spin angular momentum[tex]=\fract{h}{2 \ pi}\sqrt{s(s+1)}[/tex] when s is [tex]\fract{-1}{2}[/tex] then isn't the spin angular momentum complex.
 
Last edited:
Physics news on Phys.org
  • #2
What is 's' in your equation? Can it have a negative value? Review the definition of terms for this equation.
 
  • #3


Hello and welcome to the forum! Spin angular momentum is a fundamental concept in quantum mechanics, and it can seem complex at first. However, the equation you provided is the correct formula for calculating spin angular momentum, and it is not complex in the mathematical sense. The term "complex" in this context refers to the fact that it is a vector quantity, meaning it has both magnitude and direction. The value of s being -1/2 simply means that the spin angular momentum is half of the Planck's constant divided by 2*pi, multiplied by the square root of s(s+1). This value is used to describe the spin of particles, such as electrons, and it is an essential concept in understanding the behavior of subatomic particles. I hope this helps clear up any confusion. Let us know if you have any further questions!
 

1. What is spin angular momentum?

Spin angular momentum is a quantum mechanical property of a particle that describes its intrinsic angular momentum. It is a fundamental property of all particles, and is often referred to as "spin" because it is similar to the classical concept of angular momentum in that it describes the rotational motion of a particle.

2. How is spin angular momentum different from orbital angular momentum?

While orbital angular momentum is associated with the movement of a particle around a central point, spin angular momentum is an intrinsic property of the particle itself. This means that spin angular momentum does not involve actual physical rotation, but rather describes the particle's internal angular momentum.

3. What types of particles have spin angular momentum?

All particles, including subatomic particles such as electrons, protons, and neutrons, have spin angular momentum. Even composite particles, such as atoms and molecules, have spin angular momentum due to the spin of their constituent particles.

4. How is spin angular momentum measured?

Spin angular momentum is measured in units of "spin," which is denoted by the symbol ℏ (pronounced "h-bar"). This unit is equivalent to the Planck's constant divided by 2π, and has a value of approximately 1.05457 x 10^-34 joule-seconds.

5. What are the applications of spin angular momentum?

Spin angular momentum has many practical applications in fields such as physics, chemistry, and engineering. It is particularly important in the study of quantum mechanics and the behavior of subatomic particles. It is also used in technologies such as magnetic resonance imaging (MRI) and spintronics, which utilizes the spin of electrons for information processing.

Similar threads

  • High Energy, Nuclear, Particle Physics
Replies
7
Views
492
  • Quantum Physics
Replies
2
Views
870
  • Introductory Physics Homework Help
Replies
3
Views
201
  • Quantum Physics
Replies
1
Views
719
  • Advanced Physics Homework Help
Replies
17
Views
1K
Replies
13
Views
877
Replies
1
Views
1K
  • Special and General Relativity
Replies
9
Views
1K
Replies
2
Views
945
Replies
9
Views
3K
Back
Top