MapleV Page

Dept. of Math and Physics,Alfred State Coll. SUNY, Alfred NY, 14802

MapleV examples.

Electric field due to 4 identical charges.

[DOS 1.1] Maple code to find the coordinates of a point where the electric field due to 4 identical charges placed on the corners of a square is zero. This is basically the mathematical solution to the problem in Physics Page.

Magnetic field due to a current in a wire.

[DOS 1.1] A code to derive the expression for the magnetic field due to a current in an infinite wire and a finite wire and plot the magnetic field.

Ground state vibrational wavefunction of CO.

[DOS 1.1] A code to numerically solve Schrödinger equation for a harmonic potential well. Three wavefunctions, one for correct ground state energy and two for nearby energies are plotted for a ground state of a CO molecule.

First excited state vibrational wavefunction of CO.

[DOS 1.1] A code to numerically solve Schrödinger equation for a harmonic potential well. Three wavefunctions, one for correct first excited state energy and two for nearby energies are plotted for a CO molecule.

Vibrational wavefunction of any excited state of CO.

[DOS 1.1] A code to numerically solve Schrödinger equation for a harmonic potential well for any excited state.

Angle of minimum deviation

[DOS 1.1, Win R3.0] An easy code to plot angle of deviation as a function of the angle of incidence for a triangular prism.

Superposition of wavefunctions

[Win R4.0] An exercise to practice Maple commands: int and sum. Code to plot a graph of the superposition of eigenfunctions for infinitely deep well to obtain a given function y = A for x = [0, L/2] and y = -A for x = [L/2, L].

Superposition of wavefunctions

[Win R4.0] An exercise to practice Maple commands: int, solve,and sum. Code to plot a graph of the superposition of eigenfunctions for infinitely deep well to obtain a given function y=kx for x = [0, L].

Angular charge densities of hydrogen

[Win R4.0 and DOS 1.1] An exercise to obtain angular charge densities for any state of a hydrogen atom. See my Mathcad page to see example contour graphs.

 

Planck's radiation formula, Wien's displacement law, and Stefan-Boltzmann formula

[DOS 1.1] To plot radiation curves, derive Wien's and Stefan-Boltzmann equations.

Magnetic field in the plane of a current-carrying loop.

[Win R4.0] To plot a magnetic field in the plane of a circular loop with a current.

Compton effcct.

[Win R6.01] To plot the change in wavelength, kinetic energy of the recoil electron, and recoil angle vs. scattering angle.

Kronig-Penney model.

[Win R6.01] To plot energy vs. wave number for Delta-function potentials.

Magnetic field due to current in polygon.

[Win R6.01] To calculate and plot magnetic field in the plane of a current-carrying polygon.

Electric field and potential along the axis of a charged solid disk.

[Win R8.00] To calculate and plot the potential and electric field along the axis of a charged solid disk. The charge density is constant or a function of radius r of your choice.

Electric field and potential along the axis of a charged annular disk.

[Win R8.00] To calculate and plot the potential and electric field along the axis of a charged annular disk. The charge density is constant or a function of radius r of your choice. The inner radius is R1 and the outer radius is R2.

Electric potential due to a charged ring of radius R.

[Win R8.00] To calculate and plot the potential due to a charged ring of radius R.

Electric potential V(x,y) due to a charged annular disk.

[Win R9.5] This calculates and plots the potential as a function of (x, y) at different locations z due to a charged annular disk. The charge density can be constant or a function of r.

Electric potential Vz(z) and Ez(z) due to alternately charged annular bands in (x,y) plane.

[Win R9.5] This calculates and plots the potential Vz(z) and electric field Ez(z) as a function of z due to alternately charged annular bands placed in the (x,y) plane. The charge density is constant (either positive or negative).

3D Hydrogen wave functions.

[Win R9.5, 10, 11] This plots 3D hydrogen wave functions. You can find a Maplet version on www.maplesoft.com application center.

Spirograf

[Win R8, 9.5.1, 10, 11] This is called Spirograf. The window's Visual Basic version with more features can be downloaded from the author's web site.

3DEquiPotential&ElectriFieldLines

[Win 9.5.1, 10, 11] This plots 3D equipotential surfaces and electric field lines due to any number of point charges. You can download the Maple worksheet from Maplesoft web site:www.maplesoft.com.