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Physics
Quantum Physics
LS vs jj couplings and their selection rules
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[QUOTE="kuruman, post: 6157294, member: 192687"] The basic principle behind selection rules is angular momentum conservation. A photon carries angular momentum ##±1*\hbar## if it's right/left circularly polarized and ##0*\hbar## if linearly polarized. Hence the selection rules of ##\pm1,~0## Forbidden transitions are not the result of inaccurate integral evaluation. They have more to do with one's conscious choice to choose one basis set of representation to represent matrix elements over another, e.g. LS coupling vs. jj coupling. If, for example, you choose a basis set appropriate to LS coupling to write down Hamiltonian matrix elements for a physical system, this does not mean that spin-orbit coupling is completely turned off. When you diagonalize the Hamiltonian to get the energy levels between which transitions may occur, you will not get pure states. There will be admixtures which will introduce non-zero transition probabilities to the (mostly) forbidden transitions. [/QUOTE]
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Quantum Physics
LS vs jj couplings and their selection rules
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