Homework Statement
This regards a question on heat capacity; I'm trying to find the temperature at which the heat capacity is maximum. After differentiating the heat capacity expression, equating to zero, and rearranging (all of which I have omitted), my problem boils down to:
exp(x) = (x...
Okay, well from Wikipedia: "The spectral decomposition of an operator A which has an orthonormal basis of eigenvectors is obtained by grouping together all vectors corresponding to the same eigenvalue."
So you're referring to a spectral decomposition of the r operator? And the orthonormal...
Given a state |psi> and an operator A with (non-degenerate) eigenstates |a[SIZE="1"]i> corresponding to real eigenvalues a[SIZE="1"]i, express the wavefunction psi(x) corresponding to the state |psi> in terms of |psi>
Now this was a question in last year's exam that my lecturer went through...