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12 Nov 2019
A particle of mass m is confined to an infinite square well potential of width a The particle is in the n = 3 energy state. Assume all speeds are much less than the speed of light so that we do not need to worry about relativity. Write down the energy of the particle. The energy from part (a) is all kinetic. (This is a statement of fact; you do not need to prove it.) Find the particle's momentum p using E=p 2/2 m. Determine the de Broglie wavelength, lambda of the panicle and compare it with the wave function wavelength lambda w f. n. The particle transitions from the n = 3 to the n = 1 state by emitting a photon. Find the energy of the emitted photon. (Hint: Conserve energy).
A particle of mass m is confined to an infinite square well potential of width a The particle is in the n = 3 energy state. Assume all speeds are much less than the speed of light so that we do not need to worry about relativity. Write down the energy of the particle. The energy from part (a) is all kinetic. (This is a statement of fact; you do not need to prove it.) Find the particle's momentum p using E=p 2/2 m. Determine the de Broglie wavelength, lambda of the panicle and compare it with the wave function wavelength lambda w f. n. The particle transitions from the n = 3 to the n = 1 state by emitting a photon. Find the energy of the emitted photon. (Hint: Conserve energy).