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

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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 (x^2+y^2 )

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

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

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

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Expert Solution

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genius_generous answered 2 years ago

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