Quantum energy spectra.

Version 0.2 11-9-08
To do:
(i) Add transitions, photons
(ii)

Particle mass, Planck's constant:

m=1,h=1

Reference energy:

R=slider([0,5,40])

Energy levels for particle in a box; harmonic oscillator; Hydrogenic atoms:

function(E_B,s)=s^2*R,function(E_O,s)=[s+1/2]*R,function(E_H,s)=-R/s^2

function(E,s)=function(E_B,s)

y=function(E,1)

y=function(E,s),0<x<2,in(s,set(0,1,2,3,4,5,6,7,8,9,10))

Gaussian with center a and width S:

S=slider([0,0.5])

function(G,a,s,x)=e^(-[x-a]^2/(2*s^2))

Energy level difference:

function(D,M,N)=function(E,M)-function(E,N)

Energy levels and intensities

N_1=slider([0,10,10])

N_2=slider([0,10,10])

N_3=slider([0,10,10])

N_4=slider([0,10,10])

N_5=slider([0,10,10])

I_1=slider([0,10])

I_21=slider([0,10])

I_31=slider([0,10])

I_41=slider([0,10])

I_51=slider([0,10])

I_32=slider([0,10])

I_42=slider([0,10])

I_52=slider([0,10])

I_43=slider([0,10])

I_53=slider([0,10])

I_54=slider([0,10])

Levels and transitions:

function(G,function(E,N_1),S,prime(x))*I_1+function(G,function(E,N_2),S,prime(x))*I_21+function(G,function(E,N_3),S,prime(x))*I_31+function(G,function(E,N_4),S,prime(x))*I_41+function(G,function(E,N_5),S,prime(x))*I_51

function(G,function(D,N_2,N_1),S,prime(x))*I_21+function(G,function(D,N_3,N_1),S,prime(x))*I_31+function(G,function(D,N_4,N_1),S,prime(x))*I_41+function(G,function(D,N_5,N_1),S,prime(x))*I_51+function(G,function(D,N_3,N_2),S,prime(x))*I_32+function(G,function(D,N_4,N_2),S,prime(x))*I_42+function(G,function(D,N_5,N_2),S,prime(x))*I_52+function(G,function(D,N_4,N_3),S,prime(x))*I_43+function(G,function(D,N_5,N_3),S,prime(x))*I_53+function(G,function(D,N_5,N_4),S,prime(x))*I_54




Author: David A. Craig <http://web.lemoyne.edu/~craigda/>

Graph of the formula

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