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freddy_12345
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Homework Statement
A particle of mass m and total energy E < 0 is confined to a potential given by:
where [tex]\alpha[/tex] is some positive constant.
Show that the wavefunction
is a solution of the time independent Schrodinger equation when x > 0. Find the associated energy Eigenvalue E.
Homework Equations
The TISE:
The Attempt at a Solution
The second part of the question is straightforward: you take the equation for [tex]\psi[/tex](x) and its second derivative and plug them into the TISE, cancel and rearrange for E. I got:
Which I'm over 50% sure is correct.
But for the first part, what does it mean to show that Nx exp (-[tex]\alpha[/tex]x) is a solution?