Harmonic oscillator

Let |l, m> be the simultaneous eigenstates of L^2 and L_z. Here L is the angular momentum operator with Cartesian components (L_x, L_y, L_z), l is the angular momentum quantum numb...

For a one-dimensional harmonic oscillator, the creation operator $a^\dagger$ acting on the $n$-th state $|\psi_n\rangle$ gives $a^\dagger |\psi_n\rangle = \sqrt{n+1} |\psi_{n+1}\ra...

A particle of mass m is in a potential V(x) = 1 2 m\omega2x2 for x > 0 and V(x) = ∞ for x ≤ 0, where \omega is the angular frequency. The ratio of the energies corresponding to the...