Unformatted text preview: wavelength in the order of its size of about 1cm? Exercise 5: Given an inFnite potential well between x = 0 and x = L and a wave function that has the form Ψ( x, 0) = 4 q 1 5 L sin 3 ( x π L ) at time t = 0 inside the well, what is the time dependent solution Ψ( x,t ) of the Schr¨ odinger equation? The following may be helpful: sin( φ ) = 1 2 i ( e iφeiφ ) . (1) Exercise 6: In the following Fgures the Frst three stationary states are drawn for a potential of the form V ∝ 1 /x for x > 0 and V = ∞ for x < 0. The potential and the energy levels are also drawn. Which qualitative properties of one dimensional wave functions can you observe? Φ( x ) Φ( x ) Φ( x ) V ( x ) V ( x ) V ( x ) E E E x x x...
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 Spring '05
 HOFFSTAETTER
 Physics, Energy, Power, Radiation, Fundamental physics concepts, Rockefeller Hall, Rockefeller Hall Exercise

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