Lecture 5 part2

Ng single parcle wavefuncons are n2 n1 l2 l2

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Unformatted text preview: s look at a 2 electron system in more detail •  The eigenvalue of the permuta?on operator P12 must be  ­1 (an?symmetric) •  We can express the system as a set of state kets with eigenbras of x1, x2, ms1 and ms2 (i.e. separa?ng spa?al and spin quantum numbers.) ! = "( x1 , x2 )# # % % % ! ( m s1 , m s 2 ) = % % % % % $ !++ 1 ( !+" + !"+ ) 2 !"" 1 ( !+" " !"+ ) 2 triplet (s=1, ms= ­1,0,1) singlet (s=0,ms=0) Symmetric An?symmetric Therefore the spin singlet must be combined with a symmetric spa?al state and the spin triplet states must be combined with an an?symmetric spa?al state. Two electrons in a well … E n=3 Assume that...
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