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Unformatted text preview: outcomes and their probabilities? c) Now assume that the particle is conFned to one third of the ring by the potential ind the wavefunction and energy of the new ground state. The next problem must be done ``by hand''; that is, without aid from a computer program such as Mathematica, Maple, etc. 2. Consider a particle whose wave function is a vector in a . A certain operator in the space is given in matrix form in what we will call ``basis 1'' by the matrix A measurement of is made. If the initial state was a) Write down the density matrix describing the ensemble that results after the measurement of in the basis in which is diagonal b) What is the probability of obtaining the result...
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