Exploring Quantum Mechanics in Iron Magnets

In summary, the QM theory of magnetism explains the build-up of a magnetic field in natural magnets, such as iron, through the exchange interaction between neighboring spins described by the Heisenberg Hamiltonian. This energy is responsible for the alignment of spins in ferromagnetic materials and the resulting magnetic field. It should be noted that this mechanism does not involve orbital magnetic moments of electrons, as stated by Miss van Leeuwen's theorem.
  • #1
weio
11
0
HI

How does a magnetic field build in a natural magnet like iron from a quantum mechanical point of view? I know it has to do with electrons spin and their orbital momentum, but how exactly does it work in a magnet?


thanks
 
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  • #2
The main point of a QM theory of magnetism is the exchange interaction between neighbor spins:
[tex]H=-J \sum \vec{S_1}\cdot \vec{S_2}[/tex] (Heisenberg Hamiltonian)
where J is the exchange integral.
This energy is responsible for the spin alignment in ferromagnetic materials (because it is minimal when the two spins are parallel) and then for the magnetic field created by these materials.

The ferromagnetism can not originate from orbital magnetic moments of electrons (Miss van Leeuwen's theorem).

Hope it helps...
 
  • #3
Thanks a bunch!

I will look that up.


wieo
 

Related to Exploring Quantum Mechanics in Iron Magnets

1. What is quantum mechanics?

Quantum mechanics is a branch of physics that studies the behavior of matter and energy at the atomic and subatomic levels. It explains how particles interact with each other and how they behave under different conditions.

2. How do iron magnets relate to quantum mechanics?

Iron magnets are made up of iron atoms, which are governed by quantum mechanics. The behavior of these atoms, such as their spin and magnetic properties, can only be accurately described using the principles of quantum mechanics.

3. What are the applications of quantum mechanics in iron magnets?

Understanding quantum mechanics in iron magnets is crucial for various technological applications, such as data storage, magnetic resonance imaging (MRI), and energy generation. It also plays a significant role in developing new materials with enhanced magnetic properties.

4. How is quantum mechanics in iron magnets being explored?

Scientists use various methods, such as neutron scattering, nuclear magnetic resonance (NMR), and Mössbauer spectroscopy, to study the quantum mechanics of iron magnets. They also use advanced theoretical models and computer simulations to understand the behavior of iron atoms at the quantum level.

5. What are the current challenges in exploring quantum mechanics in iron magnets?

One of the major challenges is to develop a unified theory that can accurately describe the behavior of iron atoms in different magnetic materials. Another challenge is to overcome the limitations of current experimental techniques and develop new methods to probe the quantum behavior of iron magnets.

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