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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Consider a particle of mass m moving in a two-dimensional harmonic oscillator potential : U(x,y)= 1/2 mω^2...

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Physics

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Consider a particle of mass m moving in a two-dimensional harmonicoscillator potential :

U(x,y)= 1/2 mω^2 (x^2+y^2 )

a. Use separation of variables in Cartesian coordinates to solvethe Schroedinger equation for this particle.

b. Write down the normalized wavefunction and energy for the groundstate of this particle.

c. What is the energy and degeneracy of each of the lowest 5 energylevels of this particle?

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