Introduction to Quantum Mechanics · Problem 3.45

Formalism — David J. Griffiths

Physics — Quantum Mechanics · position_operator_basis

Problem

Find the position operator in the basis of simple harmonic oscillator energy states. That is, express ⟨n∣x^∣S(t)⟩\langle n | \hat{x} | S(t) \rangle in terms of cn(t)=⟨n∣S(t)⟩c_n(t) = \langle n | S(t) \rangle. *Hint:* Use Equation 3.114.

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