Problem 5 (20 points): Model the ground state of the hydrogen atom with a 3D simple harmonic oscillator. Take the mass o

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Problem 5 (20 points): Model the ground state of the hydrogen atom with a 3D simple harmonic oscillator. Take the mass o

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Problem 5 20 Points Model The Ground State Of The Hydrogen Atom With A 3d Simple Harmonic Oscillator Take The Mass O 1
Problem 5 20 Points Model The Ground State Of The Hydrogen Atom With A 3d Simple Harmonic Oscillator Take The Mass O 1 (48.49 KiB) Viewed 64 times
Problem 5 (20 points): Model the ground state of the hydrogen atom with a 3D simple harmonic oscillator. Take the mass of the particle in the SHO to be the electron mass (ignore the reduced mass effects present in the H-atom), and choose the oscillator frequency such that both systems have the same value for (ra). a) Compute the lifetime of the first excited state of the SHO in the electric dipole approximation. Leave your answer in algebraic form. Hint: For this problem, it may be more convenient to compute Eq. 14.156 in Cartesian coordinates.) b) Compare the numerical value of the lifetime in this model to that found in Equation 14.169.
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