Solving Hydrogen in Electric Field: Angular Dependence

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SUMMARY

The discussion focuses on the behavior of hydrogen in a uniform electric field, specifically addressing the first-order correction to the wavefunction represented as f(r)*cos(theta). The angular dependence of cos(theta) is linked to the 2pz orbital, suggesting that the combination of 2pz and 1s states leads to degeneracy. The participants confirm that this degeneracy relates to the physical process being examined, particularly in the context of the dipole moment of the hydrogen atom, which is zero in the 1s state but changes with the introduction of 2pz mixing.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Understanding of wavefunctions and angular dependence
  • Knowledge of hydrogen atom orbitals (1s and 2pz)
  • Concept of degeneracy in quantum systems
NEXT STEPS
  • Study the effects of electric fields on atomic wavefunctions
  • Explore the concept of dipole moments in quantum mechanics
  • Investigate the role of degeneracy in quantum systems
  • Learn about perturbation theory in quantum mechanics
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Students and researchers in quantum mechanics, physicists studying atomic interactions, and anyone interested in the effects of electric fields on hydrogen atom states.

dongying26
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I am working on a problem about hydrogen in a uniform electric field. I have solved for the first order correction to the wavefunction to be f(r)*cos(theta). But then it asks about what "physical process" it represents by having the angular dependence cos(theta). I am thinking that cos(theta) actually is included in expression for 2pz. And I think the combination of 2pz and 1s creates a degeneracy. Is that right that the degeneracy is the thing it asks about the physical process? Thanks!
 
Physics news on Phys.org
2pz is??
 
The dipole moment of a hydrogen atom in the 1s state is zero. What happens if a little bit of 2p_z is mixed?
 

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