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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Chapter1: Chemical Foundations
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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.)
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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