Is time reversal broken in an atom with nonzero magnetic moment?

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SUMMARY

The discussion centers on the time reversal invariance of an atom's Hamiltonian and its implications for atoms with a nonzero magnetic moment. It is established that while the Hamiltonian is time reversal invariant, the presence of a nonzero magnetic moment arises from the behavior of charges in motion. Specifically, the discussion clarifies that the magnetic dipole moment remains even under charge conjugation (C) and parity (P), while the electric dipole moment is odd under these transformations. This distinction is crucial for understanding the symmetry properties of atomic systems.

PREREQUISITES
  • Understanding of Hamiltonian mechanics
  • Familiarity with concepts of time reversal invariance
  • Knowledge of charge conjugation (C) and parity (P) transformations
  • Basic principles of magnetic and electric dipole moments
NEXT STEPS
  • Explore Hamiltonian mechanics in quantum systems
  • Research time reversal invariance in quantum mechanics
  • Study the implications of charge conjugation and parity on physical systems
  • Investigate the differences between magnetic and electric dipole moments
USEFUL FOR

Physicists, particularly those specializing in quantum mechanics and atomic physics, as well as students seeking to deepen their understanding of symmetry properties in atomic systems.

wdlang
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it is obvious that the hamiltonian of an atom is time reversal invariant

but how can an atom have non-zero magnetic moment?
 
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Time reversal is equivalent to CP. If you imagine the magnetic moment as being produced by tiny little charges running around in a circle, C flips the sign of their charge, while P makes them run around in the opposite sense. So magnetic dipole moment is even under CP, and consequently even under T. It's the electric dipole moment which is odd under CP and T.
 

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