The Gronwall form of the Schrodinger Equation for Helium

The 1937 paper of Gronwall which concerns an alternative form for the Schrodinger Equation of the 2-electron Helium problem is re-derived in a (hopefully) transparent (possibly pedestrian) manner.

The Hartree-Fock Method Applied to Helium's Electrons

The difficulties of applying the Hartree-Fock method to many body problems is illustrated by treating Helium's electrons up to the point where tractability vanishes. Second, the problem of applying Hartree-Fock methods to the helium atom's electrons, when they are constrained to remain on a sphere, is revisited. The 6-dimensional total energy operator is reduced to a 2-dimensional one, and the application of that 2-dimensional operator in the Hartree-Fock mode is discussed.

Compact Singlet S Helium Wave functions(corrected)

This is a corrected version of the Phys. Rev. A 74,14501 (2006) article. The result is improved slightly from that in the original paper.

A Review of Helium Hamiltonians

Helium Hamiltonian transformations are discussed in extreme detail.

A Hartree-Fock Example Using Helium

The Hartree-Fock method is applied to Helium's electrons to show explicitly how the coupled equations reflect the interactions between electrons.

Volume 10, Number 3: September/October 2004

Page 2 - Users tell us what they think about library service, and library director Brinley Franklin explains why he thinks the library is a good investment. Page 3 - Pulitzer Prize-winning music critic Tim Page, once the beneficiary of the library’s music collections, is now a patron of the Music & Dramatic Arts Library. Page 4 - Donors to the Libraries during FY 2004 Page 5 - Remembering Theora Whetten, long-time Friend of the Libraries; welcoming new Friends, the Class of ‘55. Page 6 - Beach Society members include the Libraries in their estate plans. Stamford honors Estelle Feinstein. Page 7 - Jack & Virginia Stephens donate a collection of Connecticut town histories.