# HW 5 - HW Set#5 Due(at the beginning of class Problems from...

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HW Set #5 Due 10/12/10 (at the beginning of class) Problems from Chapter 5 2, 4, 6, 10, 14, 16, 18, 20, 24 32, 34, 54, 56 (note soon problems require working some previous odd numbered problems) Other problems. 1. There is another quantum mechanical problem similar to the particle in a box, that is the particle on a ring (fixed radius in 2-d). This problem is one dimensional as the only variable is the angle around the ring. ˆ H = 2 2 m 2 where m is the mass. The 2 nd derivative depends on the value of the radius and the angle such that the Hamiltonian is ˆ H = 2 2 mr 2 2 ∂φ 2 Given that the solutions to this problem are ψ n ( φ ) = 1 π exp( in ) where n= 0,±1,±2,…. What are the energies. And yes the wavefunctions are complex where i = sqrt(-1) 2. What is the most probable radius for the 1s H-atom wavefunction?

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HW 5 - HW Set#5 Due(at the beginning of class Problems from...

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