On Thursday, July 31, 2025 at 11:21:28 PM UTC-6 Alan Grayson wrote:

Since my graduate notes are presently inaccessible, I will likely have some 
errors in what I am about to write. IIUC, we can use S's eqn with known 
boundary conditions to calculate the wf for a particular system. This wf is 
a mathematical function. Then, to get a probability for measuring a 
particular eigenvalue, we must take the inner product of this function with 
another function, the superposition of states, to get a real value less 
than one. But since this superposition has unknown, complex, multiplicative 
factors for each eigenfunction in its sum, how can we get a probability 
value from this procedure? How can the possible eigenvalues be determined? 
What is my misconception in the process of calculating probabilities in QM? 
TY, AG


I will check Dirac's book on QM this evening to determine how it's done. AG 

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