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Unformatted text preview: value of the angular momentum L? 7. Prove that the operator for the x component of orbital angular momentum is given by ( 29 ( 29 ( 29 ( 29 + -= sin cos cos sin i L x H . 8. Consider a model of an electron as a tiny uniform sphere of size 10-18 m corresponding to the experimental limit on possible electron structure. Suppose that the electron intrinsic angular momentum is due to the spinning motion of a sphere with an angular frequency . Calculate the value of . Explain why this is a bad model of electron spin. 9. If you modeled the nucleus of hydrogen as a 1-D particle in a box with the distance between the walls of approximately 1 fm, what would be the energies of the first four states? 10. Assuming an electron is trapped in a 2-D square box whose sides are 1 nanometer. What are the energy values of the four lowest states?...
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This note was uploaded on 01/16/2012 for the course PHYS 3343 taught by Professor Dr.danielk.marble during the Spring '11 term at Tarleton.
- Spring '11