Use the standard definition of the average value of a random variable given its probability density function: S xpn (x) dx. (9) to find average position of the wave-particle for each stationary state. Recall that Pn= Un is the probability density associated with the stationary state n = 1,2,... for the particle in a box. Also, Vn(x, t) is only defined for x = (0, L). Hint: the result is the same for all stationary states. That is, it does not depend on n. n= =

Use the standard definition of the average value of a random variable given its probability density function: S xpn (x) dx. (9) to find average position of the wave-particle for each stationary state. Recall that Pn= Un is the probability density associated with the stationary state n = 1,2,... for the particle in a box. Also, Vn(x, t) is only defined for x = (0, L). Hint: the result is the same for all stationary states. That is, it does not depend on n. n= =

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 7.2CYU: Check Your Understanding Suppose that a particle with energy E is moving along the x-axis and is in...

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