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--- classes:2009:fall:phys4101.001:lec_notes_1016 [2009/10/17 23:17] – x500_nikif002
+++ classes:2009:fall:phys4101.001:lec_notes_1016 [2009/10/17 23:50] (current) – x500_nikif002
@@ Line 28: / Line 28: @@
 <math>\ f(x) = \sum_n c_n\psi_n</math> can be written as <math>\ f(x) <=>\normalsize \left(\large\begin{array}{GC+23} \\c_{1}\\c_{2}\\c_{n}\end{array}\right)\ {\Large</math>
 where <math>\ c_n = \int f(x)*\psi_n(x) \,\mathrm dx</math>
-  *//the reason we can do this is because all stationary states are orthonormal//
+  *//the reason we can do this is because all stationary states are orthonormal. The stationary states in function space are like the basis vectors in //<math>R^n</math>
   *the above vector can have finite or infinite number of components depending on how many stationary states there are.
   *in the language of vectors, operators are transformations and are featured by Matrices. (I think one point of the lecture was the following: by operation on a function you get another function analogous to for example when you apply addition rules on a vector you get another vector which belongs to the original vector space)