Compute an harmonic oscillator with spring constant

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Q. Consider an harmonic oscillator with spring constant k and mass m.

- Find the classical frequency of this oscillator as a function of the spring constant and m.

In quantum mechanics, the spectrum of possible energies for this oscillator is given by: En = hf (n + 1/2) where n is a natural number: n = 0, 1, 2, 3, ..., h is Planck's constant and f is the frequency.

- Find the ground state energy as a function of the spring constant and the mass.

- What is the difference of energy between the second excited state and the ground state?

- Assume now that the oscillator carries a unit of charge, what is the wavelength of the photon emitted as a function of k and m when the oscillator goes from the first excited state down to the ground state?

- What is the wavelength of the emitted photon of the previous question if k = 10eV/ °A2, where °A denotes Angstrom and eV: electron volt. Is the emitted photon in the visible spectrum of a human eye?

Reference no: EM1348132

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