Accession Number : AD0257569

Title :   SOLUTIONS TO THE TWO DIMENSIONAL SPIN WAVE HAMILTONIAN

Corporate Author : CALIFORNIA UNIV LOS ANGELES

Personal Author(s) : PAUL,DAVID I.

Report Date : MAY 1961

Pagination or Media Count : 1

Abstract : Some exact solutions are obtained for the Dirac spin wave Hamiltonian of a two dimensional periodic rectangular array of N atoms. Each atom in its isolated state is considered to have one outer electron which is in an s state, all other electrons being in closed shells. We show that if the number of spin waves is not greater than the number of atoms in either of the two lattice directions, exact solutions exist in which the spin waves are independent of one another except to the extent that they obey the Pauli exclusion principle. Thus, the energy eigenvalues for these particular solutions are rigorously additive and are the same as those obtained by Bloch although the number of allowed eigenstates are more restricted. (Author)

Descriptors :   *ATOMIC ORBITALS, *QUANTUM THEORY, ATOMIC ENERGY LEVELS, CRYSTAL LATTICES, ELECTRON TRANSITIONS, ENERGY, SPINNING(MOTION)

Distribution Statement : APPROVED FOR PUBLIC RELEASE