A REPORT ON SOLUTIONS TO THE TWO DIMENSIONAL SPIN WAVE HAMILTONIAN. Technical Report No. 1

Technical Report · Mon May 01 04:00:00 EDT 1961

OSTI ID:4040483

Paul, D I

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, It is shown 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. (auth)

• Research Organization: California. Univ., Los Angeles
• NSA Number: NSA-15-022813
• OSTI ID: 4040483
• Report Number(s): NP-10230
• Country of Publication: United States
• Language: English

Related Subjects

ATOMIC MODELS
ATOMS
DIFFERENTIAL EQUATIONS
DIRAC EQUATIONS
EIGENSTATES
EIGENVALUES
ENERGY
ENERGY LEVELS
FERMIONS
HAMILTONIAN
HAMILTONIAN FUNCTION
LATTICES
MATHEMATICS
ORBITS
PAULI PRINCIPLE
PHYSICS
QUANTUM MECHANICS
RELATIVITY THEORY
SPIN