This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: ECE 306 Homework Set #9 Spring 2005 (Due 12 noon, Wednesday, April 13, 2005.) 1. Show that the Slater-determinant for a 2-electron atom in the form given in class is normalized, if all the single-electron wave functions in the determinant are normalized. 2. Write out the Slater-determinant explicitly for a 2-electron atom, in terms of the radial wave functions and the spherical harmonics in the Schroedinger- representation and the spin state functions in the Heisenberg-representation of a hydrogenic atom. 3. What are the total orbital and spin angular momentum quantum numbers of the ground-state helium and lithium atoms? 4. Give the ground state configurations of carbon and silicon. What is the degeneracy of each of these configurations taking into account Pauli’s exclusion principle? 5. Write the ground state configurations of Ga and As. ECE 306 Homework Set #9 Solutions Spring 2005 1. The Slater-determinant for a 2-electron atom in the form given in (7.11) is: ) ( ) ( ) ( ) ( 2 1 2...
View Full Document
- Spring '05
- Angular Momentum, Pauli exclusion principle, ground state, 2-electron atom