Physical Chemistry: Thermodynamics, Structure, and Change

Published by W. H. Freeman
ISBN 10: 1429290196
ISBN 13: 978-1-42929-019-7

Chapter 7 - Topic 7B - Dynamics of microscopic systems - Exercises - Page 311: 7B.4(a)

Answer

Probability of finding light atom is 0 at $\phi = \pi$

Work Step by Step

The normalized wave function given in exercise 7B.3 is $\psi(\phi) = ({1\over 2π})^{1/2}e^{iϕ}$ The probability of finding a particle over a point is always zero. To proof that consider a wave function $\psi(r)$ where is based on three dimensional coordinate. $P = \int_{V_0}^{V_0} \psi ^2 d\tau$ Which is clearly 0.
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