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    3D isotropic harmonic oscillator

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    a particle of mass m and electric charge q moves in a 3D isotropic harmonic oscillator potential V=1/2kr^2

    (a) what are the energy levels and their degeneracies?

    (b) if a uniform electic field is applied, what are the new energy levels and their degeneracies?

    ******(c)if a uniform magnetic field is applied, what are the energies of the four lowest states?*******

    I have figured out until (b), but I can't solve (c). full solution only to (C)?

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    Solution Summary

    For 3D isotropic harmonic oscillator, with uniform magnetic field, energy levels are estimated.