here - Faculty of Science - University of Waterloo
here - Faculty of Science - University of Waterloo
here - Faculty of Science - University of Waterloo
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General Boundary Conditions (2)<br />
• Introducing a vector<br />
g<br />
g i<br />
(x) with<br />
( j)<br />
, j<br />
( x)<br />
= g<br />
i<br />
( x),<br />
j = 1k<br />
−1,<br />
g<br />
i,<br />
k<br />
( x)<br />
Ei<br />
( x)<br />
i<br />
=<br />
yields<br />
( E<br />
2<br />
+ A ∂ ) ( x)<br />
x g i<br />
with boundary conditions<br />
g<br />
B<br />
g<br />
g<br />
= 0<br />
B<br />
i, +<br />
=<br />
+ i,<br />
+<br />
,<br />
i,<br />
−<br />
=<br />
+ i,<br />
−<br />
g<br />
<strong>Faculty</strong> <strong>of</strong> <strong>Science</strong> - Department <strong>of</strong><br />
Physics 5/3/2009<br />
D. Yevick - Evolution Operators and<br />
Boundary Conditions<br />
35
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