Obtain the allowed energies of general power -law potential using the WKB approximation.
Answer to Problem 9.13P
Allowed energies are
Explanation of Solution
Write the quantization condition for quantized energies for a potential well with two sides.
Consider the integral
Let
Rewrite the left-hand side of equation (1) by substituting the above value of
Equate with the right-hand side of equation (I).
Substitute 2 for
Conclusion:
Substitute
Thus, the allowed energies are
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Chapter 9 Solutions
Introduction To Quantum Mechanics
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