In a three-dimensional harmonic oscillator with frequency w, there exists a particle characterized by its mass m. a) What are the energy levels and corresponding eigenvectors for the ground state and first excited states? b) Calculate the electric dipole moment between the excited states

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Subject:- physics 

In a three-dimensional harmonic oscillator with frequency w, there
exists a particle characterized by its mass m.
a) What are the energy levels and corresponding eigenvectors for the
ground state and first excited states?
b) Calculate the electric dipole moment between the excited states
and the ground state.
c) What are the lifetimes of the excited states?
Transcribed Image Text:In a three-dimensional harmonic oscillator with frequency w, there exists a particle characterized by its mass m. a) What are the energy levels and corresponding eigenvectors for the ground state and first excited states? b) Calculate the electric dipole moment between the excited states and the ground state. c) What are the lifetimes of the excited states?
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