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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3f431ec-58d1-489a-9380-db8b113787cf%2Fade42566-c10a-4f80-bf13-2a7c698cb6f2%2F3qg72qo_processed.jpeg&w=3840&q=75)
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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