Introduction to Quantum Mechanics · Problem 2.12

Time-Independent Schrödinger Equation — David J. Griffiths

Physics — Quantum Mechanics · harmonic_oscillator_ladder_operators

Problem

Find ⟨x⟩\langle x \rangle, ⟨p⟩\langle p \rangle, ⟨x2⟩\langle x^2 \rangle, ⟨p2⟩\langle p^2 \rangle, and ⟨T⟩\langle T \rangle, for the nnth stationary state of the harmonic oscillator, using the method of Example 2.5. Check that the uncertainty principle is satisfied.

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