Homework 2-solutions - "Homework #2," . with...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
“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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

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.

Page1 / 3

Homework 2-solutions - "Homework #2," . with...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online