1ME 501 Homework #2 Due Monday, October 3, 2011 Prof. Lucht (E-mail address: [email protected]) 1. NML, problem 3.5, p. 148. 222. ( ) -2: ,0, Free particle of mass m moving on circle of radius aa Schrodinger equationrVrrsteadystate SWEmFor free particleVr traoperator in cylindrical coord :1inatesrrrr0222221rz0222222222222212022( ) 20 2A0 inininHenceBut Imam adsoI db Solution to Schrodinger equationdIAedSubstitution givesIneAe 222*0221 22Normalization givesd =1 eed=11So 21 2Therefore the normalized solution becomes2e=2I/inininInAAAn
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