Is the Lorentz force quantized at the atomic level?

In summary, at the atomic level, the Lorentz force does occur and it is treated as any other force in quantum theory. The force itself is not quantized, but the orbital energies of the electron are and are affected by a magnetic field, resulting in line splitting in the spectrum known as the Zeeman effect.
  • #1
nuby
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Does the lorentz force occur at the atomic level?
 
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  • #3
Does it have a quantized unit?
 
  • #4
nuby said:
Does it have a quantized unit?
What do you mean by quantized unit? If you asking about the quantum version of the Lorentz force, it is treated just as any other force in quantum theory.

You can begin with a quantum particle in a classical electromagnetic field.

Say take a Hydrogen atom in a uniform magnetic field. There is the Coulomb force pulling the electron toward the nucleus. If the electron orbits one way round then the Lorentz force will pull it a bit closer to the atom, if it orbits the other way around then the Lorentz force will pull the electron a bit farther from the atom.

The force isn't quantized but the orbital energies of the electron are.

What happens then is that the magnetic field splits the quantized orbital energies. You see this manifest as line splitting in the spectrum aka the Zeeman effect.
 

Related to Is the Lorentz force quantized at the atomic level?

1. What is the Lorentz force?

The Lorentz force is the force exerted on a charged particle in an electromagnetic field. It is the combination of an electric force, which is exerted by an electric field, and a magnetic force, which is exerted by a magnetic field. The direction of the Lorentz force is perpendicular to both the electric and magnetic fields.

2. Who discovered the Lorentz force?

The Lorentz force was first described by Dutch physicist Hendrik Lorentz in 1892. It was later further developed by French physicist Jean-Baptiste Biot and French mathematician Félix Savart in the early 19th century.

3. What is the formula for calculating the Lorentz force?

The formula for the Lorentz force is F = q(E + v x B), where F is the force, q is the charge of the particle, E is the electric field, v is the velocity of the particle, and B is the magnetic field. The direction of the force is determined by the right hand rule.

4. How is the Lorentz force used in everyday life?

The Lorentz force plays a crucial role in many modern technologies, such as electric motors, generators, and particle accelerators. It is also responsible for the operation of devices like CRT televisions and computer monitors.

5. What are some real-life applications of the Lorentz force?

Besides its technological applications, the Lorentz force also has important implications in physics. It is used to explain the movement of charged particles in electromagnetic fields, the Hall effect, and the deflection of charged particles in mass spectrometers. It is also a fundamental concept in the theory of relativity and the study of plasma physics.

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