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Unformatted text preview: ECE 306 Homework Set #9 Spring 2005 (Due 12 noon, Wednesday, April 13, 2005.) 1. Show that the Slaterdeterminant for a 2electron atom in the form given in class is normalized, if all the singleelectron wave functions in the determinant are normalized. 2. Write out the Slaterdeterminant explicitly for a 2electron atom, in terms of the radial wave functions and the spherical harmonics in the Schroedinger representation and the spin state functions in the Heisenbergrepresentation of a hydrogenic atom. 3. What are the total orbital and spin angular momentum quantum numbers of the groundstate 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 Paulis exclusion principle? 5. Write the ground state configurations of Ga and As. ECE 306 Homework Set #9 Solutions Spring 2005 1. The Slaterdeterminant for a 2electron atom in the form given in (7.11) is: ) ( ) ( ) ( ) ( 2 1 2...
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This homework help was uploaded on 10/25/2007 for the course ECE 3060 taught by Professor Tang during the Spring '05 term at Cornell University (Engineering School).
 Spring '05
 TANG

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