Problem 1.5 | Griffiths' Introduction to Quantum Mechanics | 3rd Edition

Описание к видео Problem 1.5 | Griffiths' Introduction to Quantum Mechanics | 3rd Edition

Problem 1.5
Consider the wave function Ψ(x, t) = Ae^(−λ|x|)*e^(−iωt) where A, λ, and ω are positive real constants.
(a) Normalize Ψ.
(b) Determine the expectation values of x and x^2.
(c) Find the standard deviation of x. Sketch the graph of |Ψ|^2, as a function of x, and mark the points ({x} + σ) and ({x} − σ), to illustrate the sense in which σ represents the “spread” in x. What is the probability that the particle would be found outside this range?


In this video, we solve Problem 1.5 in Griffiths' Introduction to Quantum Mechanics (3rd Edition) as part of a series of solutions to the textbook's questions.

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