Masteringphysics With Pearson Etext - Valuepack Access Card - For College Physics
Masteringphysics With Pearson Etext - Valuepack Access Card - For College Physics
10th Edition
ISBN: 9780321976932
Author: YOUNG
Publisher: PEARSON
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Chapter 29, Problem 3CQ
To determine

Why two object cannot be at the same place at same time?

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A quantum particle of mass m is placed in a one-dimensional box of length L. Assume the box is so small that the particle’s motion is relativistic and K = p2/2m is not valid. (a) Derive an expression for the kinetic energy levels of theparticle. (b) Assume the particle is an electron in a box of length L = 1.00 × 10-12 m. Find its lowest possible kinetic energy. (c) By what percent is the nonrelativistic equation in error?
Assume we are in an alternate universe with different physical laws. Electrons in this universe are described by four quantum numbers with meanings similar to those we use. We shall call the alternate universe’s quantum numbers p, q, r, and s. The rules for these quantum numbers are as follows: • p = 1, 2, 3, 4, 5, ... • q may take positive odd integers and q ≤ p • r takes on all even integer values from −q to +q (zero is considered an even number) • s = +1⁄2 or −1⁄2 (a) How many electrons can have p = 4, q = 3? (b) How many electrons can have p = 3, q = 0, r = 0? (c) How many electrons can have p = 6? (d) What is the maximum occupancy of electrons in p = 3?
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