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A particle of mass m is confined to a finite potential energy well of width L....

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Physics

A particle of mass m is confined to a finite potential energywell of width L. The equations describing the potential are

U=U0 x<0

U=0 0 < x < L

U=U0 x > L

Take a solution to the time-independent Schrodinger equation ofenergy E (E < U0) to have the form

A exp(-k1 x) + B exp(k1 x) x < 0

C cos(-k2 x) + D sin(k2 x) 0 < x

F exp(-k3 x) + G exp(k3 x) x > L

Which of the following statements is not correct for thissolution?

C cos(-k2 L) + D sin(k2 L) = Fexp(-k3 L)

The wave function is continuous at x=0 andx=L    

k_1=sqrt(2m( U0-E ))/hbar

k1=k3

B=0

The first derivative of the wave function is continuous at x=0and x=L

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