Exam 40: Quantum Mechanics

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An electron is confined in a harmonic oscillator potential well.A photon is emitted when the electron undergoes a 3→1 quantum jump.What is the wavelength of the emission if the net force on the electron behaves as though it has a spring constant of An electron is confined in a harmonic oscillator potential well.A photon is emitted when the electron undergoes a 3→1 quantum jump.What is the wavelength of the emission if the net force on the electron behaves as though it has a spring constant of     , c = 3.00 × 10<sup>8</sup> m/s,1 eV = 1.60 × 10<sup>-19</sup> J,h = 1.055 × 10<sup>-34</sup> J • s,h = 6.626 × 10<sup>-34</sup> J • s) An electron is confined in a harmonic oscillator potential well.A photon is emitted when the electron undergoes a 3→1 quantum jump.What is the wavelength of the emission if the net force on the electron behaves as though it has a spring constant of     , c = 3.00 × 10<sup>8</sup> m/s,1 eV = 1.60 × 10<sup>-19</sup> J,h = 1.055 × 10<sup>-34</sup> J • s,h = 6.626 × 10<sup>-34</sup> J • s) , c = 3.00 × 108 m/s,1 eV = 1.60 × 10-19 J,h = 1.055 × 10-34 J • s,h = 6.626 × 10-34 J • s)

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You want to confine an electron in a box (an infinite well)so that its ground state energy is 5.0 × 10-18 J.What should be the length of the box? (h = 6.626 × 10-34 J • s, You want to confine an electron in a box (an infinite well)so that its ground state energy is 5.0 × 10<sup>-18</sup> J.What should be the length of the box? (h = 6.626 × 10<sup>-34</sup> J • s,

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The lowest energy level of a certain quantum harmonic oscillator is 5.00 eV.What is the energy of the next higher level?

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