Unformatted text preview: 0). (b) [10pts] Show that this equation can be written as tan z = R ( z /z ) 21 where z = a R 2 m ( E + V ) / p and z = a √ 2 mV / p . This equation holds ±or solutions which are even ±unctions o± x. What about solutions which are odd ±unctions? (c) [10pts] Make a plot o± tan z versus z and on the same plot show R ( z /z ) 21 versus z . Indicate on the plot where the curves intersect. Plot must be computer generated. (d) [10pts] Write E i as a ±unction o± z i , where z i would be the zvalue o± the i th intersection point and E i would be the corresponding energy eigenvalue. You do not need to fnd expressions or values ±or the z i ’s. In principle, you could use a computer to fnd the z i ’s and that would then give you the energy eigenvalues....
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This note was uploaded on 10/25/2010 for the course PHYSICS PHYS 851 taught by Professor Michaelmoore during the Fall '08 term at Michigan State University.
 Fall '08
 MichaelMoore
 mechanics, Current, Work

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