A spin-12 particle is placed in a magnetic field B = Bxx̂ + Byŷ with spin Hamiltonian Ĥ = -AŜ · B (where A > 0 and Ŝ is the spin operator). The eigenvalues of the Hamiltonian are:

In quantum mechanics, the eigenvalue of a Hamiltonian operator for a particle is used to determine which of the following physical quantities?

Which of the following is a mandatory mathematical characteristic of an acceptable wave function in quantum mechanics?