Kijewski, Louis J. (Louis Joseph) (1936-2018)
Person
Dates
- Existence: 1936-03-20 - 2018-10-14
Found in 7 Collections and/or Records:
A comparison of the upper bound to the lower bound of the doubly ionized carbon ion, 1972
Item — Call number MU Thesis Gue
Identifier: b2088518
Abstract
The objective of this thesis is to compare the upper bound of the ground state energy of doubly ionized carbon (C⁺⁺) to the lower bound obtained by reduced density matrices.
To make a fair comparison, the number of orbitals used in both is the same, namely ten. The upper bound is obtained by use of the standard Rayleigh-Ritz Variational Principle which states ⟨Ψ|H|Ψ⟩ ≥ Eo(H) were Eo(H) is the exact ground state energy, H is the Hamiltonian, and Ψ is the trial wave function.
Dates:
1972
A study of the resistance-minimum in dilute AG-MN alloys, 1971
Item — Call number MU Thesis Cag
Identifier: b2087775
Abstract
An explanation of the resistance-minimum occurring in dilute magnetic alloys at extremely low temperature was put forth by J. Kondo in 1964. His analysis is based on the s-d exchange model of Zener, Kasuya and Yosida. In this paper we explain Zener's model, Kasuya's development of the s-d exchange interaction Hamiltonian and finally Kondo's analysis. The experimental data driven by Gerritsen and Linde on the low temperature electrical resistivity of dilute Ag-Mn alloys is then examined in...
Dates:
1971
An improved ground state wavefunction for helium for use in density matrix calculations, 1972
Item — Call number MU Thesis Bar
Identifier: b2088644
Abstract
An improved ground state wavefunction for Helium for use in density matrix calculations has been obtained. This improvement was achieved by the introduction into the expansion for the singlet S-state wavefunction for Helium, of a term containing explicit angular dependence. This angular term was constructed so as to preserve angular momentum symmetry by being an eigenfunction of the two-particle, angular momentum operator with eigenvalue zero, as is required for S-states. The results give...
Dates:
1972
Calculation of lower bounds to the ground state energy of the C⁺⁺ ion utilizing the technique of reduced density matrices subject to continuously variable N-representability constraints, 1974
Item — Call number MU Thesis Gor
Identifier: b2088648
Abstract
A recently developed theory enabling the construction of density matrices which are expressible in terms of a given spin geminal set and which are a nearly N-representable as possible is discussed.
Calculation of lower bounds to the ground state energy of the C⁺⁺ ion is performed utilizing reduced density matrices subject to the continuously variable N-representability constraint determined by the above mentioned theory.
Dates:
1974
Density matrix techniques, 1970
Item — Call number MU Thesis Tra
Identifier: b2088112
Abstract
The objective of this paper is to demonstrate the usefulness of density matrix techniques in the determination of the ground state energy of certain atomic systems. Use of the method, currently under development, results in a lower energy bound in contrast with the Rayleigh-Ritz method which yields an upper bound. The former technique is illustrated for the C⁺⁺ atomic system. It was found that the Pauli Principle was being violated even when the 2-particle density matrix is expanded in...
Dates:
1970
The strength of the Pauli restriction on Be⁺, 1971
Item — Call number MU Thesis Lon
Identifier: b2089697
Abstract
The Schrodinger equation for an atomic system which possesses N electrons has 3N independent variables and is perhaps one of the most difficult questions in physics to solve. Because of the complex nature of the problem, only approximate methods can be used. One such method is the Rayleigh-Ritz Variational principle [sic] which minmizes over all [sic] space, and the minimum is the ground state energy. Another method is by...
Dates:
1971
Two electron system calculations applied to reduced density matrices, 1970
Item — Call number MU Thesis Pra
Identifier: b2088114
Abstract
The non-relativistic energies have been determined for the singlet and triple S states (1¹S, 2¹S and 2³S) of the helium like two electron system. Calculations were based on a finite set of orbitals of the order 7. The set, which includes Laguerre polynomials, is expressed as a superposition of configurations built up from one-electron wave functions or orbitals and approximates the exact wave function.
Application of the variational principle leads to a system of linear equations....
Dates:
1970