Tag: Mechanics
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Problem 1.15 – Griffith’s Intro to QM
Problem 1.15 Show that for any two (normalizable) solutions to the Schrödinger equation (with the same ), and . Solution:
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Problem 1.9 – Griffith’s Intro to QM
Problem 1.9 A particle of mass m has the wave function , where and are positive real constants. (a) Find .(b) For what potential energy function, , is this a solution to the Schrödinger equation?(c) Calculate the expectation values of , , , and .(d) Find and . Is their product consistent with the uncertainty…
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Problem 1.2 – Griffith’s Intro to QM
Problem 1.2 (a) Find the standard deviation of the distribution in Example 1.2. (b) What is the probability that a photograph, selected at random, would show a distance x more than one standard deviation away from the average? Solution: Problem 1.2 Solution
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Problem 1.1 – Griffith’s Intro to QM
Problem 1.1: For the distribution of ages in the example in Section 1.3.1:(a) Compute and .(b) Determine for each , and use Equation 1.11 to compute the standarddeviation.(c) Use your results in (a) and (b) to check Equation 1.12. Solution:Problem 1.1 Solution Find more Griffith’s solutions here.