Unformatted text preview: is a constant with units of energy × distance. (a) Show that the appropriate boundary conditions of the energy eigenfunctions in this case are of the form, ψ ( x = 0 + ) = ψ ( x = 0) = ψ (0) and ¯ h 2 2 m b dψ dx (0 + ) − dψ dx (0) B = g ψ (0) . (b) Use these boundary conditions to ±nd bound states when g < 0 (attractive potential). How many bound states are there? (c) Use the same boundary conditions to ±nd the transmission of re²ection coe³cients of the plane waves scattered by this potential. Does it matter if g is positive or negative?...
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 Spring '09
 Mucciolo
 mechanics, Energy, Uncertainty Principle, #, 2m, Boundary conditions, University of Central Florida Department of Physics

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