Blog Entry (c) Monday, October 14, 2024, by James Pate Williams, Jr. Three Hydrogen Molecule Ion Integrals and Energy Values

References: https://web.stanford.edu/~oas/SI/QM/Atkins05.pdf See Example 8.1 The evaluation of overlap and Coulomb integral for the hydrogen molecule ion pages 255 – 256 https://www.physics.udel.edu/~jim/PHYS425_20S/Class%20Notes/Notes_8.pdf https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Introductory_Quantum_Mechanics_(Fitzpatrick)/13%3A_Variational_Methods/13.03%3A_Hydrogen_Molecule_Ion#fh2pa

Blog Entry © Monday, October 14, 2024, Real Eigenvalues and Eigenvectors of a 4 x 4 Tridiagonal Matrix and Solutions of a 4 x 4 System Using the Same Tridiagonal Matrix by James Pate Williams, Jr.

Two methods of solving linear systems of equations are explored in this blog. The methods are the Gauss-Seidel method and the Jacobi iteration.

Blog Entry © Monday, October 7, 2024, by James Pate Williams, Jr. Recent Voyages into the World of Quantum Chemistry

Blog Entry © Saturday, October 5, 2024, by James Pate Williams, Jr. Multidimensional Integrals

Blog Entry © Thursday, October 3, 2024, by James Pate Williams, Jr. A Mixture of Numerical Analysis and General Relativity Physics