Consider an harmonic oscillator with spring constant k and massm.
- Find the classical frequency of this oscillator as a function ofthe spring constant and m.
In quantum mechanics, the spectrum of possible energies for thisoscillator is given by: En = hf (n + 1/2) where n is a naturalnumber: n = 0, 1, 2, 3, ..., h is Planckâs constant and f is thefrequency.
- Find the ground state energy as a function of the spring constantand the mass.
- What is the difference of energy between the second excited stateand the ground state?
- Assume now that the oscillator carries a unit of charge, what isthe wavelength of the photon emitted as a function of k and m whenthe oscillator goes from the first excited state down to the groundstate?
- What is the wavelength of the emitted photon of the previousquestion if k = 10eV/ °A2, where °A denotes Angstrom and eV:electron volt. Is the emitted photon in the visible spectrum of ahuman eye?
thank you so much for any help!
Consider an harmonic oscillator with spring constant k and massm.
- Find the classical frequency of this oscillator as a function ofthe spring constant and m.
In quantum mechanics, the spectrum of possible energies for thisoscillator is given by: En = hf (n + 1/2) where n is a naturalnumber: n = 0, 1, 2, 3, ..., h is Planckâs constant and f is thefrequency.
- Find the ground state energy as a function of the spring constantand the mass.
- What is the difference of energy between the second excited stateand the ground state?
- Assume now that the oscillator carries a unit of charge, what isthe wavelength of the photon emitted as a function of k and m whenthe oscillator goes from the first excited state down to the groundstate?
- What is the wavelength of the emitted photon of the previousquestion if k = 10eV/ °A2, where °A denotes Angstrom and eV:electron volt. Is the emitted photon in the visible spectrum of ahuman eye?
thank you so much for any help!
