Quantum Mechanics: Concepts and Applications · Problem 3.26

One-Dimensional Problems — Nouredine Zettili

Physics — Quantum Mechanics · ehrenfest-theorem-anharmonic-oscillator

Problem

Calculate d⟨X^⟩/dtd\langle \hat{X} \rangle/dt, d⟨P^x⟩/dtd\langle \hat{P}_x \rangle/dt, d⟨H^⟩/dtd\langle \hat{H} \rangle/dt for a particle with H^=P^x2/(2m)+12mω2X^2+V0X^3\hat{H} = \hat{P}_x^2/(2m) + \frac{1}{2}m\omega^2\hat{X}^2 + V_0\hat{X}^3.

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