19. For a particle in a box, show that the solutions satisfy the Heisenberg Uncertainty Principle (see equation sheet). Use an electron for the particle with box of length 10 Å, approximating the conjugation length relevant to retinal as the active chromophore in rhodopsin/visual response. Derive the relevant expressions for the n=1 solution, slowest possible particle velocity. (Wavefunctions would be given in the test. See notes or equation sheet on Quercus. You need to think about what the energy of the particle is..KE or U. The variance in v and x is what you are being asked, i.e., Av, Ax.)
19. For a particle in a box, show that the solutions satisfy the Heisenberg Uncertainty Principle (see equation sheet). Use an electron for the particle with box of length 10 Å, approximating the conjugation length relevant to retinal as the active chromophore in rhodopsin/visual response. Derive the relevant expressions for the n=1 solution, slowest possible particle velocity. (Wavefunctions would be given in the test. See notes or equation sheet on Quercus. You need to think about what the energy of the particle is..KE or U. The variance in v and x is what you are being asked, i.e., Av, Ax.)
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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
Transcribed Image Text:19. For a particle in a box, show that the solutions satisfy the Heisenberg Uncertainty
Principle (see equation sheet). Use an electron for the particle with box of length 10 Å,
approximating the conjugation length relevant to retinal as the active chromophore in
rhodopsin/visual response. Derive the relevant expressions for the n=1 solution, slowest
possible particle velocity. (Wavefunctions would be given in the test. See notes or
equation sheet on Quercus. You need to think about what the energy of the particle
is..KE or U. The variance in v and x is what you are being asked, i.e., Av, Ax.)
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