Density matrix techniques, 1970

Item — Call Number: MU Thesis Tra

Identifier: b2088112

Staff Only

Scope and Contents

From the Collection:

The collection consists of theses written by students enrolled in the Monmouth College graduate Physics program. The holdings are bound print documents that were submitted in partial fulfillment of requirements for the Master of Science degree.

Dates

Creation: 1970

Creator

Tranchina, John P. (Author, Person)
Kijewski, Louis J. (Louis Joseph) (1936-2018) (Thesis advisor, Person)

Conditions Governing Access

The collection is open for research use. Access is by appointment only.

Access to the collection is confined to the Monmouth University Library and is subject to patron policies approved by the Monmouth University Library.

Collection holdings may not be borrowed through interlibrary loan.

Research appointments are scheduled by the Monmouth University Library Archives Collections Manager (723-923-4526). A minimum of three days advance notice is required to arrange a research appointment for access to the collection.

Patrons must complete a Researcher Registration Form and provide appropriate identification to gain access to the collection holdings. Copies of these documents will be kept on file at the Monmouth University Library.

Extent

1 Items (print book) : 61 pages ; 8.5 x 11.0 inches (28 cm).

Language of Materials

English

Additional Description

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 terms of the first fourteen states of Helium. We have shown that significant improvement will probably not be obtained by adding sequentially higher states to the 2-matrix expansion. Very highly excited states must therefore be incorporated into the trial density matrix at the outset if the Pauli restriction is to be satisfied. An attempt is also made to utilize the density matrix techniques on the Triton nuclear system.

Partial Contents

1. Introduction and background -- 2. The C⁺⁺ atomic system -- 3. Expectation value of the Hamiltonian -- 4. Determination of energy for C⁺⁺ -- 5. The three-body nuclear system -- 6. References -- 7. Bibliography -- 8. Acknowledgements.