Problem 1. Using the WKB approximation, calculate the energy eigenvalues En of a quantum- mechanical particle with mass m and potential energy V (x)=V₁ (x/x)*, where V >0, Express En as a function of n; determine the dimensionless numeric coefficient that emerges in this expression.
Problem 1. Using the WKB approximation, calculate the energy eigenvalues En of a quantum- mechanical particle with mass m and potential energy V (x)=V₁ (x/x)*, where V >0, Express En as a function of n; determine the dimensionless numeric coefficient that emerges in this expression.
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Transcribed Image Text:Problem 1. Using the WKB approximation, calculate the energy eigenvalues En of a quantum-
mechanical particle with mass m and potential energy V (x) = V₁ (x/x)*, where V > 0, Express
En as a function of n; determine the dimensionless numeric coefficient that emerges in this
expression.
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Step 1: Given data and To calculate:
VIEWStep 2: Here first finding momentum of particle and then used bohr sommerfeld quantization rule
VIEWStep 3: Changing the limits here and used beta function and it's properties
VIEWStep 4: Complete expression written here for energy as a function of n
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