Lecture 5 part2

Q q q q q q q q i

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Unformatted text preview: = ! (q1 , ...qi , ...q j , ...qN ) and are said to be symmetric under interchange. •  The wavefunc?ons corresponding to eigenvalue  ­ε: P ! (q , ...q , ...q , ...q ) = ! (q , ...q , ...q , ...q ) = "! (q , ...q , ...q , ...q ) i, j 1 i j N 1 j i N 1 i j N and are said to be an+symmetric under interchange. There are N! permuta?ons of the variables qN, but not all commute with H. There are 2 special permuta?ons under which every interchange leads to a purely symmetric state and one with a purely an?symmetric state. Fermions and bosons •  The one totally symmetric state for any par?cle exchange sa?sfies: P! S (q1 , ...qN ) = ! S (qP1 , ......
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This document was uploaded on 02/04/2014.

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