Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 10, Problem 10.87E
Interpretation Introduction
Interpretation:
The given integrals of the wavefunctions for the
Concept introduction:
For the orthogonality of the two different wavefunctions, the product of the wavefunctions is integrated over the entire limits. It is expressed by the equation as given below.
Where,
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An electron is confined to a square well of length L. What would be the length of the box such that the zero-point energy of the electron is equal to its rest mass energy, mec2? Express your answer in terms of the parameter λC = h/mec, the ‘Compton wavelength’ of the electron.
For the system described in Exercise E7B.1(a) (A possible wavefunction for an electron in a region of length L (i.e. from x = 0 to x = L) is sin(2πx/L). Normalize this wavefunction (to 1)), what is the probability of finding the electron in the range dx at x = L/2?
Calculate the probability that a particle will be found between 0.49L and 0.51L in a box of length L for (i) ψ1, (ii) ψ2. You may assume that the wavefunction is constant in this range, so the probability is ψ2δx.
Chapter 10 Solutions
Physical Chemistry
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