Week of 1/21/08
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<math>h(z,w) \equiv \sum z_i w^* _i</math> | <math>h(z,w) \equiv \sum z_i w^* _i</math> | ||
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+ | However, Griffiths uses a different convention with the complex conjugate on the first term: cf page 94. | ||
Revision as of 17:49, 21 January 2008
Definition of complex (Hermitian) inner product
It's a matter of convention that the anti-linear term is the second one in the inner product:
with equality only if
The basic example is the form
However, Griffiths uses a different convention with the complex conjugate on the first term: cf page 94.
NB if z = x + Iy, then z * z = (x − Iy)(x + Iy) = x2 + y2 = zz *
Download Animation of the superposition of two eigenstates for a 1D string |
{{PDF|filename=1-21-08.pdf|title=Lecture notes 1/21/08. Sep. of Variables of TDSE. Eigenstates. Stationary states.}