Week of 1/21/08
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{{Mathematica|filename=Griffiths_example2.2.nb|title=Mathematica version of Griffiths analytic example 2.2}} | {{Mathematica|filename=Griffiths_example2.2.nb|title=Mathematica version of Griffiths analytic example 2.2}} | ||
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| + | {{{{PDF|filename=1-25-08.pdf|title=Lecture notes 1/25/08. Review of stationary states. Fourier superposition. Completeness and orthogonality of eigencuntions of Hermitian operators.} | ||
Revision as of 17:23, 25 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
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 Download Lecture notes 1/21/08. Sep. of Variables of TDSE. Eigenstates. Stationary states.
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| Download Lecture notes 1/23/08. Review of Hermitian matrices/operators. Particle in an infinite square well.
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| Download evolution of a gaussian particle in a box
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| Download Mathematica version of Griffiths analytic example 2.2
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{{{{PDF|filename=1-25-08.pdf|title=Lecture notes 1/25/08. Review of stationary states. Fourier superposition. Completeness and orthogonality of eigencuntions of Hermitian operators.}
