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Schrodinger's equation and potential energy

  • Thread starter xiankai
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  • #1
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Homework Statement



1. In a region of space, a particle with zero total energy E has a wavefunction

ψ (x) = A x exp - (x2/L2)

a) Find the potential energy U as a function of x
b) Make a sketch of U(x) versus x

Homework Equations



time independent schrodinger's equation
Picture1.jpg


The Attempt at a Solution



equations.jpg


judging by the nature of the equation, the graph of U(x) against x seems to be that of a quadratic curve with the minimum point below the y-axis.

did i get it correct? im abit uncertain...
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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618
That looks fine to me.
 

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