Solve Quantum Mechanics Homework: Photon Absorbed by H2

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SUMMARY

The discussion centers on solving a quantum mechanics problem involving the absorption of an ultraviolet photon (wavelength = 58.4 nm) by a hydrogen molecule (H2) at rest. The key concept is the application of relativistic conservation laws to determine the velocity of the hydrogen molecule post-absorption. Participants emphasize the importance of understanding momentum conservation in quantum mechanics to effectively approach the problem.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with relativistic conservation laws
  • Knowledge of photon properties, specifically wavelength and energy
  • Basic grasp of momentum calculations in physics
NEXT STEPS
  • Study the principles of relativistic momentum conservation
  • Learn how to calculate photon energy using the equation E = hc/λ
  • Explore the effects of photon absorption on molecular motion
  • Review quantum mechanics textbooks focusing on photon interactions with matter
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Students studying quantum mechanics, physics educators, and anyone interested in the interactions between photons and molecules in quantum systems.

justdancin89
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I need help with my quantum mechanics homework. I can't seem to figure out the appropriate equation t use to answer the following question:

An ultraviolet photon (wavelength = 58.4nm) from a He discharge tube is absorbed by H2 at rest. If momentum is conserved, what is the velocity of the hydrogen molecule after absorbing the photon?
 
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I would say that you need to pick up your book and read about (relativistic) conservation laws. Then you'd get an idea how to start the solution to the problem.
 

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