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pset01

# pset01 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY 5.73 Quantum...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY 5.73 Quantum Mechanics I Fall , 2002 Professor Robert W. Field Problem Set #1 DUE : At the start of Lecture on Friday , September 13. Reading : C-TDL , pages 9-39 , 50-56 , 60-85 Problems : 1. This question is based on Figure 1 of Complement J I CTDL p84. This is a problem that involves many repeated calculations; thus it is best done using a computer. Since computers like pure numbers , it is convenient to express the problem in dimensionless quantities and then , if necessary , express the final result in the appropriate units. One very effective and widely used way to do this is to use atomic units : mass = m e mass of electron charge = e charge of electron length (Boh = 1a 0 r radius) action = h /2 π = h (energy times time or length times momentum) energy = E h (1 Hartree) Every dimensioned quantity , Q , in an equation is converted to a pure number by dividing it by the appropriate atomic unit quantity (expressed in the same units as the quantity of interest) , denoted by: QQ /Q (atomic unit) = m= m /m e q= q /e x= x/a 0 = hh h = 1

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pset01 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY 5.73 Quantum...

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