# (a) Compute (x) , (p) , (x 2 ) and (p 2 ) , for the states 0 (Equation 2.60) and 1 (Equation 2.63), by explicit integration. Comment: In this and other problems involving the harmonic oscillator it simplifies matters if you introduce the variable and the constant (b) Check the uncertainty principle for these states.(c) Compute (T) and

Chapter 2, Problems #11

(a) Compute (x) , (p) , (x^{2}) and (p^{2}) , for the states Ψ_{0} (Equation 2.60) and Ψ_{1 }(Equation 2.63), by explicit integration. Comment: In this and other problems involving the harmonic oscillator it simplifies matters if you introduce the variable

and the constant

(b) Check the uncertainty principle for these states.

(c) Compute (T) and (V) for these states. (No new integration allowed!) Is their sum what you would expect?

Equation 2.60

Equation 2.63

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**Related Book For**

## Introduction To Quantum Mechanics

3rd Edition

Authors: David J. Griffiths, Darrell F. Schroeter

ISBN: 9781107189638