[4 points] Q3. Boundary conditions, Harmonic oscillator with a delt...

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[4 points] Q3. Boundary conditions, Harmonic oscillator with a delta function barrier A non-relativistic particle of mass m in 1D is subject to the following harmonic oscillator potential with an delta-function barrier at the origin: 1 ((x)=-muor'+a((x) = where you are given that a is a real positive number, and wo is the oscillator frequency. Write down the boundary conditions satisfied by the wave function 4 (x) that is a solution of the 1D time-independent Schrodinger equation with the given potential.

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