Interaction hamiltonian?

  • #1

Main Question or Discussion Point

A textbook gives the following interaction Hamiltonian describing the interaction of an atom (having transition dipole moment [itex]\mu[/itex]) with a photon whose polarization can be [itex]\epsilon_{1}[/itex] or [itex]\epsilon_{2}[/itex]):

H = g [itex]\Sigma[/itex][itex]^{2}_{s=1}[/itex][itex]\mu[/itex][itex]\bullet[/itex][itex]\epsilon[/itex]s[itex]\sigma^{-}[/itex]a[itex]^{+}_{s}[/itex] + h.c.

where [itex]\sigma^{-}[/itex] is Pauli spin-flip operator and a[itex]^{+}_{s}[/itex] is the creation/annihilation operator.

What does "h.c." stand for in this formula?
 

Answers and Replies

  • #2
343
0
Hermitean conjugate.
 
  • #3
Thanks for the quick reply. But I still cannot quite see how to write the second term explicitly. Am I correct in assuming that μ and ϵ1, ϵ2 should not change, σ− will become σ+, and creation operator will change to annihilation operator?
 
  • #4
Also, what does g stand for - gyromagnetic ratio?
 

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