# (a) Prove properties 12.17, 12.18, 12.19, and 12.20. (b) Show that the time evolution of the density operator is governed by the equation (This is the Schrdinger equation, expressed in terms of .) The expectation value of an observable A is dp = [.P]- dt i (12.26)

Chapter 12, Problems #4

(a) Prove properties 12.17, 12.18, 12.19, and 12.20.

(b) Show that the time evolution of the density operator is governed by the equation

(This is the Schrödinger equation, expressed in terms of ρ̂.)

The expectation value of an observable A is

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**Related Book For**

## Introduction To Quantum Mechanics

3rd Edition

**Authors:** David J. Griffiths, Darrell F. Schroeter

**ISBN:** 9781107189638