Introduction to Quantum Mechanics · Problem 1.7

The Wave Function — David J. Griffiths

Physics — Quantum Mechanics · ehrenfest_theorem

Problem

Calculate d⟨p⟩/dtd\langle p \rangle/dt. Answer: d⟨p⟩dt=⟨−∂V∂x⟩.\frac{d\langle p \rangle}{dt} = \left\langle -\frac{\partial V}{\partial x} \right\rangle. This is an instance of Ehrenfest's theorem, which asserts that expectation values obey the classical laws.

Related theory

Browse the problem library