P13.28 Normalize the set of functions $„(0) = eino, 0 ≤ 0 ≤ 2TT. To do so, you need to multiply the functions by a normalization constant N so that the integral •2π, N N* ² m(0)n(0) do = 1 for m = n.

P13.28 Normalize the set of functions $„(0) = eino, 0 ≤ 0 ≤ 2TT. To do so, you need to multiply the functions by a normalization constant N so that the integral •2π, N N* ² m(0)n(0) do = 1 for m = 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 27P: Compute |(x,t)|2 for the function (x,t)=(x)sint, where is a real constant.

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Concept explainers

Ising model of Ferromagnets

The Ising model is one of the easiest and most famous theoretical models for ferromagnetism in statistical mechanics. When a group of atomic spins aligns such that their magnetic moments are pointed in the same direction and produce a strong permanent magnetic moment in macroscopic size, the phenomenon is called ferromagnetism. The relative permeability of these magnets is greater than unity and increasing magnetization with the applied external field. Even in the absence of an external magnetic field, these substances retain spontaneous magnetization. An example of ferromagnets is iron.

Question

P13.28 Normalize the set of functions $„(0) = eino,
0 ≤ 0 ≤ 2π. To do so, you need to multiply the functions by
a normalization constant N so that the integral
•2π,
N N* ² m(0)n(0) do
= 1 for m = n.

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