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Unformatted text preview: Problem Set 04 Note: The following problem set is due October 3 by midnight. Please return directly to me in my office Rutherford 321. If Im not there slip your assignment below my door. 1. A molecule is constructed by a linear assembly of atoms such that the electrons in each of these states can be described by a ket vector  i i , where i denote the i th state. In the figure below: 1 2 3 4 n we denote the linear molecule alongwith its ket vectors such that the n th state is at a finite distance from the first state. Imagine we also construct two operators W i such that they take an electron from a given state  k i to other states with equal probabilities in the following two possible ways: (a) The  k i state electron is relocated to all other states (i.e excluding the k th state) with equal probabilities  k  2 by the action of the first operator W 1 , and (b) The  k i state electron is relocated to all states following the k th state, i.e all states of the form  k + 1 i ,...
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 Fall '05
 KeshavDasgupta
 mechanics

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