Chapter 1. WolframAlpha Widget

Introduction

My Slide Activities
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You must read each slide, and complete any questions on the slide, in sequence.

This widget displays 3D and contour plots of wavefunctions of a particle in a one-nanometer square box.

Hermite polynomials
This widget displays the form and some properties
of a Hermite polynomial.
Set the polynomial order: n =
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Exercise: To gain insight into the origins of the nodes
in the harmonic oscillator wavefunctions, plot the Hermite
polynomials for n = 0 through 5.
Computing...

Use the WolframAlpha widget to answer the following questions:

1.

With a quantum number of 2 in the x direction, and a quantum number of 2 in the y direction you would expect to see peaks in the contour plot at which of the following coordinates:

A.
B.
C.
D.

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2.

With a quantum number of 5 in the x direction, and a quantum number of 4 in the y direction, how many peaks in the contour plot would you expect to see?

A.
B.
C.
D.

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