Problem 3 (15 points) A particle of mass m interacts with a 10 harmonic oscillator potential, V(x)= mwºx/2. Use a trial

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Problem 3 15 Points A Particle Of Mass M Interacts With A 10 Harmonic Oscillator Potential V X Mwox 2 Use A Trial 1 (28.38 KiB) Viewed 22 times

Problem 3 (15 points) A particle of mass m interacts with a 10 harmonic oscillator potential, V(x)= mwºx/2. Use a trial function of the form W(x) = Ala-x), for 0<x<a Ala+x), for-a<x<0 0, otherwise (a) Sketch this wave function and explain how it satisfies all the necessary requirements for the ground-state wave function of this system. (b) Using this trial wave function, compute a bound on the ground-state energy of this system. Take special care with the kinetic energy part. (c) Show that the bound you obtain is larger than the exact ground-state energy.