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The JaynesCummings Hamiltonian 
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#1
Jun1811, 02:58 AM

P: 679

This Hamiltonian popped up when I was reading an article, as a reference(wikipedia): http://en.wikipedia.org/wiki/Jaynes%...el#cite_note1
I don't understand why the Hamiltonian [itex]\hat H_{atom}[/itex] and [itex]\hat H_{int}[/itex] look the way they are. Usually we we just take a classical Hamiltonian and "operatorize" it, but I fail to see the classical counterpart for [itex]\hat H_{atom}[/itex] and [itex]\hat H_{int}[/itex] 


#2
Jun1811, 04:38 AM

Sci Advisor
P: 1,627




#3
Jun1911, 02:46 AM

P: 679

But I don't understand the content on page 27, i.e. why are those four equations the defining properties of a dipole operator, the author gave a handwaving reason "The dipole operator is responsible for “moving” the atom between energy levels.", but I don't really see why it has to be the way it is. EDIT: I think I understand now, the author is probably referring to dipole transition. 


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