1.3.2 Schrodinger PDE

Table 1.7: Schrodinger PDE breakdown of results. Time in seconds

#

PDE

description

Mathematica
Maple

hand solved?

Animated?





result

time

result

time

143

1D

pict

Logan textbook, page 30

0.527

0.474

144

1D

pict

From Mathematica help pages

0.756

1.235

145

1D

pict

David Griffiths, page 47

30.831

1.26

146

1D

pict

David Griffiths, page 47

0.678

0.933

147

1D

Deep well


Does not handle \(n=2\) case correctly. Division by zero

47.385

6.925

148

1D

pict

From Mathematica help pages

0.006


Trivial solution. Maple does not support \(\infty \) in boundary conditions

2.546

149

2D

pict

In a square, zero potential

0.707

4.08

150

2D

pict

In a square

0.648

4.622