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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.

Solution provided by:
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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