I am watching James Binney's QM lectures on iTunes University, and also going through his free textbook. He is a tough teacher, but I love how many misconceptions he points out, and some of the points he makes are very subtle and mind blowing when the lightbulb comes on.
I am confused on this point in his lectures:
He states that ##| \psi \rangle =\int _{ -\infty }^{ \infty }{ dx\psi (x)| x \rangle } ## is an analogy to the discrete state ## | \psi \rangle=\sum _{ i }^{ all }{ a_i | E_i \rangle } ##. Binney uses the lower case psi to describe the complete state that is formed out of the basis static states ##E_i##.
I am sure he is correct, but I need to some baby steps to make a conceptual bridge between the two equations.
Anyone care to flush this out for me?
Thanks,
Chris
I am confused on this point in his lectures:
He states that ##| \psi \rangle =\int _{ -\infty }^{ \infty }{ dx\psi (x)| x \rangle } ## is an analogy to the discrete state ## | \psi \rangle=\sum _{ i }^{ all }{ a_i | E_i \rangle } ##. Binney uses the lower case psi to describe the complete state that is formed out of the basis static states ##E_i##.
I am sure he is correct, but I need to some baby steps to make a conceptual bridge between the two equations.
Anyone care to flush this out for me?
Thanks,
Chris
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