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--- classes:2009:fall:phys4101.001:lec_notes_1026 [2009/10/27 23:54] – x500_choxx169
+++ classes:2009:fall:phys4101.001:lec_notes_1026 [2009/10/28 10:21] (current) – x500_stans028
@@ Line 76: / Line 76: @@
-Finally, a question was raised concerning notation used in section 3.4 of Griffiths.  The question related to equation 3.43 on page 106.  What is the difference between f<sub>n</sub> and Ψ?  It should be noted that equation 3.43 is Fourier's trick in bracket notation.  f<sub>n</sub> is any function that is any stationary state wave function.  You could also think of f<sub>n</sub> as the initial state of a wave function.  Ψ is the time-dependent wave function of the system.
+Finally, a question was raised concerning notation used in section 3.4 of Griffiths.  The question related to equation 3.43 on page 106.
+<math> c_n = <f_n|\Psi> </math>.
+What is the difference between f<sub>n</sub> and Ψ?  It should be noted that equation 3.43 is Fourier's trick in bracket notation.
+f<sub>n</sub> is any function that is any stationary state wave function.  You could also think of f<sub>n</sub> as the initial state of a wave function.
+Ψ is the time-dependent wave function of the system.
+<math> \Psi(x,t) = \sum c_n * f_n(x) </math>