Week of 1/21/08
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− | {{PDF|filename=1-21-08.pdf|title=Lecture notes 1/21/08. Sep. of Variables of TDSE. Eigenstates. Stationary states.} | + | {{PDF|filename=1-21-08.pdf|title=Lecture notes 1/21/08. Sep. of Variables of TDSE. Eigenstates. Stationary states.}} |
Revision as of 17:54, 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. So, I will change mine to conform to his.
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 |
Download Lecture notes 1/21/08. Sep. of Variables of TDSE. Eigenstates. Stationary states. |