Homework 2-solutions

# Homework 2-solutions - &quot;Homework #2,&quot; . with...

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“Homework #2,” … with solutions = just more examples (No need to turn in anything). I. Problem 2.5 of text, Part (a) only: See Appendix II for constants as required. If you have the old book, note that the actual minimum uncertainty product is ħ /2 = h/4 π . See Appendix II for constants as required. II. Problem 2.6 of text: This problem assumes free particles for which momentum and energy can be known precisely simultaneously, which have plane-wave momentum/energy eigenstates. In particular, the DeBroglie wavelengths of free particles is given by h /| p | = 2 πħ /| p | where h is Planck’s constant and p = m v is the momentum. (The wavelength corresponds to the distance over which the phase changes by 2 π . ) In this case of a free particle the total energy is just p·p /2 m = m v·v /2. Again see Appendix II for constants as required. See Fig. 4-4 of the text for the wavelengths of visible light, and note that the theoretical limits of resolution for microscopes are roughly a wavelength (somewhat less actually). according to the old edition solutions where the minimum uncertainty product was

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## This note was uploaded on 04/21/2008 for the course EE 339 taught by Professor Banjeree during the Spring '08 term at University of Texas at Austin.

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Homework 2-solutions - &quot;Homework #2,&quot; . with...

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