notes26sup

notes26sup - (3/2,3/2) ζ / 2 − 2ω 0 2 ζ / 2 − ω0...

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Unformatted text preview: (3/2,3/2) ζ / 2 − 2ω 0 2 ζ / 2 − ω0 (3/2,1/2) 3 sym (1/2,1/2) h (3/2,-1/2) (1/2,–1/2) (3/2,–3/2) 1/ 2 2 ω0 3 1 −ζ − ω 0 3 2 ζ / 2 + ω0 3 sym −21/ 2 ω0 3 1 −ζ + ω 0 3 ζ / 2 + 2ω 0 γBz ≡ ω 0 (ML,MS) UNCOUPLED REPRESENTATION (1,1/2) (1,–1/2) (0,1/2)(0,-1/2)(–1,1/2) (–1,–1/2) (1,1/2) ζ / 2 − 2ω 0 −1/ 2 (1,–1/2) −ζ / 2 2 ζ sym −ω 0 (0,1/2) −1/ 2 h ω0 2 ζ (0,-1/2) sym −ζ 2 (–1,1/2) ζ / 2 + 2ω 0 (–1,–1/2) (3/2,3/2) ζ/2-2ω0 (3/2,1/2) ζ/2− (1/2,1/2) –ζ − (3/2,–1/2) (1/2,–1/2) (3/2,–3/2) ζ/2+ –ζ + –2γ (1,1/2) 2 4 ω2 0 ω0 + 3 27 ζ − 2 8 γ 2B z γ+ 3 27 ζ (1,–1/2) 1 4 ω2 0 ω0 – 3 27 ζ − 1 8 γ 2B z γ− 3 27 ζ (0,1/2) 2 4 ω2 0 ω0 + 3 27 ζ + 2 8 γ 2B z γ+ 3 27 ζ (0,–1/2) 1 4 ω2 0 ω0 – 3 27 ζ + 1 8 γ 2B z γ− 3 27 ζ (–1,1/2) ζ / 2 + 2ω 0 +2γ (–1,–1/2) ζ/2–2ω0 –2γ 2ζ 2 −ζ 2 + 2ζ 2 ω0 − −ω 0 − 2ζ 2 ω0 −γ + +ω0 + −ζ 2 − 2ζ 2 2 γB z ω0 +γ − 2ζ 2 ω0 + ζ/2+2ω0 2ζ 2 2 γB z 2ζ 2 2 γB z 2ζ 2 2 γB z +2γ J = 3/2 J = 1/2 Bz → Bz → Note that every eigenstate has a different Zeeman tuning rate. The gross energy level pattern and the Zeeman tuning rates tell which limiting case one is near and which state is which. The details of the nonlinear Zeeman tuning of one assigned level determine ζ and γ. ...
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notes26sup - (3/2,3/2) ζ / 2 − 2ω 0 2 ζ / 2 − ω0...

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