Bad Qubits — Learn Quantum by Doing

Multiple choice

For the quantum harmonic oscillator, the energy levels are E_n = hbar*omega*(n + 1/2) for n = 0, 1, 2, .... What is the energy spacing between adjacent levels?

hbar*omega (a constant, independent of n)
(1/2)*hbar*omega, half a quantum
Zero, because all the levels are degenerate
hbar*omega*n, so the spacing grows with n