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.)

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter12: Atoms And Molecules

Section: Chapter Questions

Problem 12.52E

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