Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Discrete wave mechanics: The hydrogen atom.

F T Wall1

  • 1Department of Chemistry, B-017, University of California at San Diego, La Jolla, CA 92093.

Proceedings of the National Academy of Sciences of the United States of America
|August 1, 1986
PubMed
Summary

This study replaces Schrödinger

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Discrete mechanics and special relativistic random walks.

Proceedings of the National Academy of Sciences of the United States of America·1988
Same author

Discrete wave mechanics: Multidimensional systems.

Proceedings of the National Academy of Sciences of the United States of America·1987
Same author

Discrete wave mechanics: The hydrogen atom with angular momentum.

Proceedings of the National Academy of Sciences of the United States of America·1987
Same author

Discrete wave mechanics: An introduction.

Proceedings of the National Academy of Sciences of the United States of America·1986
Same author

Statistics of flexible chain configurations.

Proceedings of the National Academy of Sciences of the United States of America·1979
Same author

Self-avoiding random walks on lattice strips.

Proceedings of the National Academy of Sciences of the United States of America·1979

Area of Science:

  • Quantum mechanics
  • Atomic physics
  • Theoretical chemistry

Background:

  • The Schrödinger equation is fundamental for describing quantum mechanical systems.
  • Solving the hydrogen atom problem is a cornerstone of quantum mechanics.

Purpose of the Study:

  • To explore a finite difference approach for the hydrogen atom.
  • To derive the Bohr-Rydberg formula from a novel wave mechanics formulation.

Main Methods:

  • Utilized a finite difference equation instead of the traditional differential Schrödinger equation.
  • Focused calculations on spherically symmetric states of the hydrogen atom.

Main Results:

  • Derived a wave vector energy expression directly convertible to the Bohr-Rydberg formula.
  • Demonstrated that wave vectors converge to Schrödinger's solutions as c approaches infinity.

Conclusions:

  • The finite difference method provides a consistent approach to the hydrogen atom.
  • This method shows potential as a basis for relativistic wave mechanics formulations.

Related Experiment Videos