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MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
3. For the harmonic oscillator potential energy, U (x) = §mw§x2 , the ground-state wave function is 1110:) = Ae‘ibzx2 , Where b2 = mean / h , and its energy is E0 2%1‘100.
(a) Find the classical turning points for a particle with this energy. (b) Show that the wave function has inflection points (116., vanishing second deriva-
tive) at the classical turning points. (c) Show that, for any finite potential energy function U(x), a solution, w(x), to the
time-independent Schrodinger equation must have an inflection point at a classi-
cal turning point.
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