Fock's representation for molecular orbitals

V. Fock studied the hydrogen atom problem in momentum space by projecting the space onto a 4-dimensional hyper-sphere. He found that as a consequence of the symmetry of the problem in this space the eigen-functions are the R₄ spherical harmonics and that the eigenvalues are determined only by the principal quantum number n. In this chapter we note that if his method is applied to the 2-dimensional Kepler problem in momentum space, the eigenfunctions are the R₃ spherical harmonics, Y_1m, and the eigenvalues are determined only by the quantum number 1. These facts enable one to give a visualizable geometric discussion of the dynamical degeneracy.

Name thesis:degree_name

Master of Science (M.S.)

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Physics

Year dc:date.available

1965

Author dc:creator

• Shibuya, Tai-ichi

Contributors dc:contributor

• Carl E. Wulfman[?]

• Molecular orbitals
• Physical Sciences and Mathematics
• Physics

Licence

• http://rightsstatements.org/vocab/NKC/1.0/

Repository record dc:identifier

https://scholarlycommons.pacific.edu/uop_etds/1602

OAI identifier oai:identifier

oai:scholarlycommons.pacific.edu:uop_etds-2601