The Spin-Quantum Physics and Mechanics-Lecture Slides, Slides of Quantum Mechanics

Download The Spin-Quantum Physics and Mechanics-Lecture Slides and more Slides Quantum Mechanics in PDF only on Docsity! Announcements Quantum mechanics Homework this week: • HW #20 Thursday Nov 17 by 10pm Test 3 : Saturday Nov 19 – Tuesday Nov 22 Practice Test 3 review Friday Nov18 docsity.com Quantum mechanics The spin 2 2 ( 1)S sm s s sm  zS sm m sm  ( 1) ( 1) 1S sm s s m m s m      docsity.com Quantum mechanics Quiz 29a When measuring Sx on an electron, what are the possible results? A. 0 B. C. D. E. / 2 / 3  / 2 docsity.com Quantum mechanics Adding spins 1 2S S S  1 2( )zS m m m     1 2   Possibilities for two spins 1/2 : 1m  : 0m  : 0m  : 1m   docsity.com Quantum mechanics Adding spins 1/2 possibilities : 1m  : 0m  : 0m  : 1m     11 1 10 2 1 1        Triplet Singlet   1 00 2     docsity.com Quantum mechanics Clebsch- Gordan coefficients TABLE 4.8: Clebsch-Gordan coefficients. (A square root sign is understood for every entry; the minus sign, if present, goes outside the radical.) ry 1/2 x 1/2444 6/2 | +2 41/2 | 1 2x 1/2 Sy 12 | _1)ai2 +3/2 ie 12 nie +e 2 -12|16 4/5] 5/2 32 a1 2 [45 15] 4172 4172 a wie) 26 as| Se 9 7) pos 215} 112-12 1x ile 23/2532 12] 0-12) 3 ast se sie +1 4t/2 | 1 fet/24122| =i +12] 2/5 -3/5] -3/2 -3/2 “T 12 | 13 2a ae te 3/2 x 1/213 as 15) 9/2 * x o 2 | 213-13) -1/2 -12 2a 116 415 | -5/2 0-12] 29 1a) 32] soe 2] st “2 -12| 1 1 12) 18 -2/34-3/2 yan -1/2|14 aidfo 1 2x4 3 -1 -1/2| 1 3/2 «1 6/2} Li2 41/2 43/4 1440 0 xi bshys x1 | seers He -12 [12 wep 2 1 2] 1p12 42 [sect [1 jae 32 ~2_+1l2 [1/2 12] -1_-1 f2 [1s 2af s 2 1 Tan 0 | 28 a6) se a2 12 =a -V2)a/4 ay 2 ry 4t]28 18)a; ant M2 +1 | 36-26 f+t2 11/2 +12 92 +1/2|1/4_—3/a]-2 _ bead m Tits 13 35 ao oe, 2 Pa =3/2_-1/2] 1 +10 ([8/415 1/6. -3/10 a5. TAS SAS 1x thee +1 fens 12 of 0. 0 0 30-815 1/6 |-12 2-1/2] feet] spe + TT 1 Tis 12 ano a a Ht O[12 1/2] 2 1 oO 0 0} a5: 0 -2/5 3 2 1 -1/2 0135 1/15 -1/3} 5/2 3/2 oat|i2 2] 0 0 0 4a[i6--12 3fof-1 -1 + “ait | ifio 2/5 v2 | ara ~2/2 er 1 | 16 1/2 13 0 1 jas 12 1t0 m2 -1| 3/5 2/5) Si2 0 0123 o-ape ty] = Bais -v6 -snofs 2 -3i2_o} 215-35} -5/2 +t | 16-122 184-1 -1 LK: ih [15 1/3 2-2 Bzal 0-1/12 1/24 2 1 -1/2/3 18] 3 — -1 01/2 -1/2]-2 -2__ 0) 1/3 -2/3] -3 1-1} 4 ee eT. docsity.com Quantum mechanics Quiz 29b What is the value of the Clebsch-Gordan coefficient ? 213 10 1C  A. B. C. D. E. 15/8 10/3 15/6 5/3 15/1 docsity.com The spin and magnetic field Quantum mechanics docsity.com