Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Textbook Question

Chapter 13.7, Problem 19P

Find the eigenfunctions and energy eigenvalues for a "particle in a spherical box" r < a . Hints: See Problem 6.6. Write the R equation from Problem 18 with V = 0 and compare Chapter 12, Problem 17.6, with y = R , x = β r where β = 2 M E / h 2 and n = l .

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Chapter 13.7, Problem 18P

Chapter 13.7, Problem 20P

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Chapter 13 Solutions

Mathematical Methods in the Physical Sciences

Ch. 13.1 - Assume from electrostatics the equations E=/0 and...Ch. 13.1 - Show that the expression u=sin(xvt) describing a...Ch. 13.1 - Assume from electrodynamics the following...Ch. 13.1 - Obtain the heat flow equation (1.3) as follows:...Ch. 13.2 - After you find the series solution of a problem,...Ch. 13.2 - T=0,0x10,100,10x20. Solve the semi-infinite plate...Ch. 13.2 - Solve the semi-infinite plate problem if the...Ch. 13.2 - Solve the semi-infinite plate problem if the...Ch. 13.2 - Show that the solutions of (2.5) can also be...Ch. 13.2 - Show that the series in (2.12) can be summed to...

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Find the eigenfunctions and energy eigenvalues for a "particle in a spherical box" r &lt; a . Hints : See Problem 6.6. Write the R equation from Problem 18 with V = 0 and compare Chapter 12, Problem 17.6, with y = R , x = β r where β = 2 M E / h 2 and n = l .

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Find the eigenfunctions and energy eigenvalues for a "particle in a spherical box" r < a . Hints : See Problem 6.6. Write the R equation from Problem 18 with V = 0 and compare Chapter 12, Problem 17.6, with y = R , x = β r where β = 2 M E / h 2 and n = l .