3. (a) The Schrödinger equation for the harmonic oscillator may be written in dimensionless form: d²v (§² - K) v, de² wi

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3 A The Schrodinger Equation For The Harmonic Oscillator May Be Written In Dimensionless Form D V K V De Wi 1 (111.37 KiB) Viewed 10 times

3. (a) The Schrödinger equation for the harmonic oscillator may be written in dimensionless form: d²v (§² - K) v, de² with = e 1 (√mw/h): x and K = 2E/hw. The asymptotic solution is A() = € - ²/2, and one may write the full solution as = h()A. Obtain the harmonic equation from which we may calculate h(). (6) (b) Write down the eigenenergies for this problem. How do we find these using the analytic method? What happens to the wave function if the particle energy is not equal to one of the eigenenergies? (5) [11] C -