a. Prove that the time evolution of the density operator ? (in the Schrodinger picture) is given

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a. Prove that the time evolution of the density operator ? (in the Schrodinger picture) is given by

b. Suppose we have a pure ensemble at t = 0. Prove that it cannot evolve into a mixed ensemble as long as the time evolution is governed by the Schrodinger equation.

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Modern Quantum Mechanics

ISBN: 978-0201539295

Revised Edition

Authors: J.J Sakurai

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Question Posted: Apr 16, 2011 06:41 AM

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a. Prove that the time evolution of the density operator ? (in the Schrodinger picture) is given

Question:

P(t) = (1, 1,)p(to)U*(1,1,).

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Modern Quantum Mechanics

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