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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "SYMMETRIC AND ANTISYMMETRI
C WAVE FUNCTIONS" }}{PARA 0 "" 0 "" {TEXT 256 18 "by Corinne Manogue" 
}}{PARA 0 "" 0 "" {TEXT -1 14 "Copyright 2004" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 103 "restart:with(plots):setoptions3d(axes=boxed, sh
ading=zhue, scaling=constrained, orientation=[-108,48]):" }}}{EXCHG }
{EXCHG {PARA 0 "" 0 "" {TEXT -1 43 "Choose the eigenlabels for the bas
ic state:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "n:=1;m:=3;" }}
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 65 "What do the symmetric and antisym
metric wave functions look like?" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 42 "plot3d(sin(n*x)*sin(m*y),x=0..Pi,y=0..Pi);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "plot3d(sin(n*x)*sin(m*y)+sin
(m*x)*sin(n*y),x=0..Pi,y=0..Pi);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 60 "plot3d(sin(n*x)*sin(m*y)-sin(m*x)*sin(n*y),x=0..Pi,y=
0..Pi);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 95 "What do the probabilit
y densities look like for the symmetric and antisymmetric wave functio
ns?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "plot3d((sin(n*x)*sin
(m*y))^2,x=0..Pi,y=0..Pi);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
64 "plot3d((sin(n*x)*sin(m*y)+sin(m*x)*sin(n*y))^2,x=0..Pi,y=0..Pi);" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "plot3d((sin(n*x)*sin(m*y)
-sin(m*x)*sin(n*y))^2,x=0..Pi,y=0..Pi);" }}}{EXCHG {PARA 0 "> " 0 "" 
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