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URGENT (need within 1.5 hour) A particle of mass M is confined to move in the...

URGENT (need within 1.5 hour)

  1. A particle of mass M is confined to move in the x-y plane, and is subjected to the following potential

    V(x,y) = 1⁄2 k1 x2 + 1⁄2 k2 y2
    where k1 and k2 are the spring constants restricting the motion, and k1 << k2.

    1. (a) Write down the Schrodinger equation for the particle, and show the steps to solve the equation, assuming the solution of the one-dimensional Harmonic oscillator is known.

    2. (b) Write down the expression of all the eigenenergies.

    3. (c) What are the first and second excited energies?

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