05_04_27 - Georg.Hoffstaetter@Cornell.edu 163 Spin:...

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Unformatted text preview: Georg.Hoffstaetter@Cornell.edu 163 Spin: intrinsic angular momentum 04/27/2005 1 { 1,0,1} l m l m = = = - 1RWH WKDW WKH 6WHUQ *HUODFK H[SHULPHQW VSOLW D QHXWUDO VLOYHU EHDP LQWR WZR EHDPV 7KH YHUWLFDO FRPSRQHQW RI WKH PDJQHWLF PRPHQW KDV WKHUHIRUH TXDQWXP VWDWHV EXW 7KH PDJQHWLF PRPHQW RI VLOYHU FDQ QRW FRPH IURP WKH RUELWDO DQJXODU PRPHQWXP 2WKHU SRVVLEOH VRXUFH $Q LQWHUQDO DQJXODU PRPHQWXP RI WKH HOHFWURQV OLNH IRU D URWDWLQJ VSKHUH Georg.Hoffstaetter@Cornell.edu 164 Quantization of spin 04/27/2005 7KH LQWULQVLF DQJXODU PRPHQWXP LV QRW D SURSHUW\ RI WKH ZDYH IXQFWLRQ 7KH DUJXPHQW IRU WKH RUELWDO DQJXODU PRPHQWXP QR ORQJHU KROG ( ) im z l m l m l m L Y i Y Y f e = - = ! ( 2 ) ( ) l m l m Y Y m + = Z %XW DVVXPLQJ WKDW WKH FRPPXWDWRUV IRU VSLQ DUH OLNH WKRVH IRU DQJXODU PRPHQWXP [ , ] i j ijk k S S i S = ! 2 min max n m m =- = one obtains: Georg.Hoffstaetter@Cornell.edu 165 12) States of the 3D Coulomb Potential 04/27/2005 , ,...
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05_04_27 - Georg.Hoffstaetter@Cornell.edu 163 Spin:...

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