Matias URDAMPILLETA - TEL
Matias URDAMPILLETA - TEL Matias URDAMPILLETA - TEL
tel-00770488, version 1 - 7 Jan 2013 |S, ms〉 ms Sz Sz|S, ms〉 = ms|S, ms〉 H1 Sz H2 Sz H1 |S, ms〉 H2 |S, ms〉 H2 |S, ms〉 H1 H2 HZeeman = gµ0µB. = gxµ0µBSxHx + gyµ0µBSyHy + gzµ0µBSzHz gx gy gz x y z µB µ0 (Hx, Hy, Hz) Sx Sy Sz Sx = 1 2 (S+ + S−) Sy = 1 2i (S+ − S−) S+|S, ms〉 = S(S + 1) − ms(ms + 1)|S, ms + 1〉 S−|S, ms〉 = S(S + 1) − ms(ms − 1)|S, ms − 1〉 z HZeeman |S, ms〉 gzµ0µBmsH
tel-00770488, version 1 - 7 Jan 2013 HZeeman |S, ms − 1〉 |S, ms〉 |S, ms + 1〉 S+ S− Hcf = k=2,4,6 βk q=+k q=−k A q k Oq k βk A q k O q k Sk z Sk + Sk − q = 0, ±4 q = 0 Sz S1 S2 |S1, ms1; S2, ms2〉 H = j ˜ S1 ˜ S2 = jx ˜ Sx1 ˜ Sx2 + jy ˜ Sy1 ˜ Sy2 + jz ˜ Sz1 ˜ Sz2 S1 S2 ˜Sx1 = Sx1 ⊗ I2 ˜Sx2 = I1 ⊗ Sx2 Sxi Ii Sx |Si, msi〉 ⊗
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tel-00770488, version 1 - 7 Jan 2013<br />
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|S, ms〉 ms Sz <br />
Sz|S, ms〉 = ms|S, ms〉 <br />
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H1 Sz H2 Sz H1<br />
|S, ms〉<br />
H2 <br />
|S, ms〉 <br />
H2 <br />
|S, ms〉 H1 H2 <br />
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HZeeman = gµ0µB. = gxµ0µBSxHx + gyµ0µBSyHy + gzµ0µBSzHz<br />
gx gy gz x y z µB <br />
µ0 (Hx, Hy, Hz) <br />
Sx Sy Sz <br />
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Sx = 1<br />
2 (S+ + S−) <br />
Sy = 1<br />
2i (S+ − S−) <br />
S+|S, ms〉 = S(S + 1) − ms(ms + 1)|S, ms + 1〉 <br />
S−|S, ms〉 = S(S + 1) − ms(ms − 1)|S, ms − 1〉 <br />
z HZeeman <br />
|S, ms〉 gzµ0µBmsH