Physics · Quantum Mechanics
A quantum harmonic oscillator of mass m and angular frequency ω is in the state |ψ⟩ = 1√2(|287⟩ + |288⟩), where |n⟩ denotes the nth normalized energy eigenstate. Let L0 = √(ℏ/(mω)) denote the oscillator size. What is the amplitude of the expectation value of the velocity operator, |⟨v⟩| / (ωL0) [equivalent to |⟨(dx/dt)⟩| / (ωL0)], in this state?
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