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14 - Approximation Methods

Published online by Cambridge University Press:  05 December 2024

Rocco Schiavilla
Affiliation:
Old Dominion University, Virginia
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Summary

Applications ofnon-degenerate and degenerate perturbation theory to problems in one and three dimensions; study of the nuclear finite-size effect on the spectrum of hydrogen-like atoms; hydrogen atom in an external electric field: Stark effect and induced electric dipole moment; derivation of Brillouin--Wigner perturbation theory; variational calculations of the hydrogen and helium atoms; Born-Oppenheimer approximation; variational calculation of the Hs+ molecular ion; estimation of bound-state energies of a Hamiltonian with the variational method.

Type
Chapter
Information
Quantum Mechanics through Problems
With Complete Solutions
, pp. 433 - 515
Publisher: Cambridge University Press
Print publication year: 2024

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  • Approximation Methods
  • Rocco Schiavilla, Old Dominion University, Virginia
  • Book: Quantum Mechanics through Problems
  • Online publication: 05 December 2024
  • Chapter DOI: https://doi.org/10.1017/9781009473637.015
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  • Approximation Methods
  • Rocco Schiavilla, Old Dominion University, Virginia
  • Book: Quantum Mechanics through Problems
  • Online publication: 05 December 2024
  • Chapter DOI: https://doi.org/10.1017/9781009473637.015
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Approximation Methods
  • Rocco Schiavilla, Old Dominion University, Virginia
  • Book: Quantum Mechanics through Problems
  • Online publication: 05 December 2024
  • Chapter DOI: https://doi.org/10.1017/9781009473637.015
Available formats
×