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Transcendental equation for a semi-infinite potential well

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A semi-infinite potential well is given as shown in the figure.

---------- Figure -------------------

(a) Consider the case when (0<E<Vo).Show the quantization of energy is given by the following transcendental equation:

--------Equation --------------------

(b) A particle of energy E> Vo is incident from the right into the potential region. Calculate the coefficient of reflection for the particle.

Please see the attached file for figure and equation.

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Solution is in a 5-page word document. I have shown each and every step in obtaining an expression for the quantized energy states and reflection coefficient of a semi infinite potential well for the cases of E < Vo and E > Vo respectively. I have used the equation editor to type mathematical expressions. Please download this solution to learn the techniques of solving similar problems in your quantum mechanics course. I have provided very detailed solution. Thank you.

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Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here. Thank you for using Brainmass.
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Time independent Schrodinger equation.

In region I, particles can not exist. Wave function is zero.

In region II, Potential ...

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