What Is the Bohr-van Leuven Theorem and Its Significance in Quantum Mechanics?

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The Bohr - van Leuven Theorem pertains to a system of N charges in a magnetic field, asserting that such a system exhibits zero magnetic susceptibility. This conclusion is derived from the independence of the partition function on the magnetic field. The theorem is relevant in the context of statistical mechanics and magnetic dipoles. It highlights the behavior of charges rather than dipoles in magnetic environments. Understanding this theorem is crucial for those studying statistical mechanics and its implications for magnetic systems.
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Bohr - van Leuven Theorem ??

Has anybody heard of this theorem? I remember vaugely that it has to do something with the work being done on magnetic dipoles / spins. I can't find it anywhere on the internet. I'm really curious...

Thanks!
 
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Heirot said:
Has anybody heard of this theorem? I remember vaugely that it has to do something with the work being done on magnetic dipoles / spins. I can't find it anywhere on the internet. I'm really curious...

Thanks!

This theorem states that a system of N charges (not dipoles) in a magnetic field has zero magnetic susceptivity. I have studied this subject for my Statistical mechanics exam, I had to show the validity of this theorem. It can be done by showing that the partition function of this system is independent on the magnetic field.
 
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