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Unformatted text preview: E = mc 2 for a particle at rest. (i) Find the masses (i.e. energies) m 1 and m 2 of the states which are eigenvectors of H . Let the diagonal elements of H be h  H  i = m , h e  H  e i = m e . 1 You may assume that  A  <<  m em  . (ii) The eigenstates 1 and 2 of H can be written as linear combinations of the states  i and  e i  1 i = cos  e i sin  i ,  2 i = sin  e i + cos  i . Find the mixing angle in terms of A,m e ,m with again  A  <<  m em  . (iii) Suppose at time t = 0, a is produced at rest in the laboratory. What is the probability as a function of time that this state will actually be observed as a e ? Express the answer in terms of m 1 ,m 2 and . 2...
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This note was uploaded on 02/27/2010 for the course PHYSICS 342 taught by Professor Sghy during the Spring '10 term at King's College London.
 Spring '10
 Sghy
 mechanics, Angular Momentum, Momentum

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