Solutions to Problems 1.2 and 1.7
This is the solution to the second (and seventh) problem of the first section of Quantum Mechanics for the work professional. You can find the details and notes here:
https://pasayten.org/quantum-mechanic...
We derive the formulae for probabilities of finding a generic state Psi as either an UP or DOWN state from the Cauchy-Schwarz Inequality. We then use it to compute the probabilities as requested, as well as the probability of finding Psi in another generic state, Phi.
The course itself has a website here:
https://pasayten.org/quantum-mechanic...