Meaning of h.c. in Lagrangians (& elsewhere?)

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The abbreviation "h.c." in Lagrangians denotes "hermitian conjugate," indicating that additional terms are included which are the hermitian conjugates of previously written terms. This notation is crucial in ensuring that the Hamiltonian remains a hermitian operator, as it simplifies the expression by omitting half of the terms while maintaining the necessary properties of the operator. Understanding this concept is essential for anyone studying particle physics and quantum mechanics.

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Meaning of "h.c." in Lagrangians (& elsewhere?)

I am fairly new to particle physics and am puzzled by an abbreviation I often see in Lagrangians here (though it may not be particular to that application): " + h.c." is tacked on after other terms. What does this denote? Apologies if I've missed something very simple, and thanks for the help either way!
 
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This is not unique to particle physics. All it means is that there are additional terms which are the hermitian conjugate of the terms that have already been written.

Zz.
 


What Zz said. The Hamiltonian should be a hermitian operator, but note that if we have any (well-behaved) operator A, then A + Adagger is hermitian. So the notation is both a convenient way of making sure we have a hermitian operator and a convenient shorthand to omit half the terms present.
 

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