Magnetic Moment, Electron Spin, Energy

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SUMMARY

The discussion focuses on calculating the potential energy (PE) of a magnetic moment in an external magnetic field, specifically for an electron with spin orientations in a magnetic field of 0.6 kT. The relevant equation is U = -u · B, where the gyromagnetic ratio is set to g = 2. The user struggles with determining the appropriate angular momentum, Jz, for the electron spin, S_z, due to the lack of defined quantum numbers n and l in the problem statement.

PREREQUISITES
  • Understanding of magnetic moments and their interaction with magnetic fields
  • Familiarity with electron spin and its representation in quantum mechanics
  • Knowledge of the gyromagnetic ratio and its significance in magnetic systems
  • Basic grasp of angular momentum concepts in quantum physics
NEXT STEPS
  • Study the concept of electron spin and its mathematical representation
  • Learn about the gyromagnetic ratio and its application in quantum mechanics
  • Research angular momentum in quantum systems, focusing on S_z for electrons
  • Explore potential energy calculations in magnetic fields using U = -u · B
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Students and educators in physics, particularly those studying quantum mechanics and electromagnetism, as well as researchers interested in magnetic properties of particles.

roeb
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Homework Statement



The PE of a magnetic moment in an external magnetic field is given by U = -u dot B. Calculate the difference in energy between the two possible orientations of an electron in a magnetic field B = .6k T

Homework Equations





The Attempt at a Solution



I realize electrons can have an up spin and down spin, but I am having a hard time doing this problem.

I believe I should be using g = 2 for the gyromagnetic ratio. So: (_h = h bar)
uz = -g uB JZ/_h
uB = e(_h)/(2me)

Unfortunately then I don't know what I should have for Jz. (This is defined by my book as "any type of angular momentum).

So I guess my problem is that I don't know what I should use for angular momentum, since n and l aren't defined in the problem. Can anyone help clear this up?
 
Physics news on Phys.org
Use the electron spin, S_z. Strange you would know about the gyromagnetic ratio but not about which angular momentum that refers to in the case of an electron!
 

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