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kasse
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Homework Statement
A particle that can move in one dimension and that is in a stationary state, is bound by a potential V(x) = (1/2)kx^2. The wave function is [tex]\Psi[/tex](x,t) = [tex]\psi[/tex](x)exp(-iEt/[tex]\hbar[/tex])
We look at a state in which [tex]\psi[/tex](x) = Aexp(-x^2/2a^2a^2), where a is a constant and A is the normalisation constant. Determine a so that [tex]\psi[/tex](x) is an energy state. What is the energ of the particle?
The Attempt at a Solution
I don't really know what to do here, but setting up the wave equation tends to be a good start:
H[tex]\psi[/tex](x) = E[tex]\psi[/tex](x), where H = -([tex]\hbar[/tex]^2/2m)(d^2/dx^2) + kx^2/2
How can I determine a so that [tex]\psi[/tex](x) is an energy state?
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