Using the WKB approximation calculate the discrete energy level... | Filo

Problem 9.1 Use the WKB approximation to find the allowed energ... | Filo

The WKB approximation (see Challenge Problem 40.72 ) can be used to calculate the energy levels for a harmonic oscillator. In this approximation, the energy levels are the solutions to the equation ∫a^b √(2 m[E-U(x)]) d x=(n h)/(2) n=1,2,3, …Here E is the energy, U(x) is the potential-energy function, and x=a and x=b are the classical turning points (the points at which E is equal to the potential energy, so the Newtonian kinetic energy would be zero). (a) Determine the classical turning point