a. Let x and px be the coordinate and linear momentum in one dimension. Evaluate the classical

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a. Let x and px be the coordinate and linear momentum in one dimension. Evaluate the classical Poisson bracket [x, F(px)] classical.

b. Let x and px be the corresponding quantum-mechanical operators this time. Evaluate the commutator [x, exp (ipx α/h)].

c. Using the result obtained in (b), prove that exp (ipx α/h) |x’>, (x | x’> = x’ | x’>) is an Eigen state of the coordinate operator x. What is the corresponding eigenvalue?

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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. Let x and px be the coordinate and linear momentum in one dimension. Evaluate the classical

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