Problem 14 Griffiths Introduction to Quantum Mechanics 3rd Edition

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=3FmtGerRrvc

Problem 1.4 • At time t = 0 a particle is represented by the wave function • Ψ(x, 0) = A(x/a), [0, a] • A(b-x)/(b-a), [a, b] • 0, otherwise • where A, a, and b are (positive) constants. • (a) Normalize Ψ (that is, find A, in terms of a and b). • (b) Sketch Ψ(x, 0), as a function of x. • (c) Where is the particle most likely to be found at t = 0? • (d) What is the probability of finding the particle to the left of a? Check your result in the limiting cases b = a and b = 2a. • (e) What is the expectation value of x? • In this video, we solve Problem 1.4 in Griffiths' Introduction to Quantum Mechanics (3rd Edition) as part of a series of solutions to the textbook's 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