What Does h.c. Signify in Quantum Mechanics Formulas?

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In the given quantum mechanics formula, "h.c." stands for Hermitian conjugate, indicating that the interaction Hamiltonian includes both the original and its Hermitian conjugate terms. The second term can be explicitly written by flipping the Pauli spin-flip operator from σ− to σ+ and changing the creation operator a+s to the annihilation operator as the polarization states remain unchanged. The parameter g is not definitively identified in the discussion, but it is commonly associated with the gyromagnetic ratio in similar contexts. Understanding these components is crucial for analyzing atomic interactions with photons. The conversation highlights the importance of recognizing Hermitian properties in quantum mechanics.
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A textbook gives the following interaction Hamiltonian describing the interaction of an atom (having transition dipole moment \mu) with a photon whose polarization can be \epsilon_{1} or \epsilon_{2}):

H = g \Sigma^{2}_{s=1}\mu\bullet\epsilons\sigma^{-}a^{+}_{s} + h.c.

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

What does "h.c." stand for in this formula?
 
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Hermitean conjugate.
 
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?
 
Also, what does g stand for - gyromagnetic ratio?
 
I am slowly going through the book 'What Is a Quantum Field Theory?' by Michel Talagrand. I came across the following quote: One does not" prove” the basic principles of Quantum Mechanics. The ultimate test for a model is the agreement of its predictions with experiments. Although it may seem trite, it does fit in with my modelling view of QM. The more I think about it, the more I believe it could be saying something quite profound. For example, precisely what is the justification of...

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