Application of perturbation theory to one-electron systems, 1971

Item — Call Number: MU Thesis Tru

Identifier: b2088584

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: 1971

Creator

True, Robert M. (Author, Person)
Iafrate, G. J. (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) : 32 pages ; 8.5 x 11.0 inches (28 cm).

Language of Materials

English

Additional Description

Abstract

The solution to the problem of a one-electron ion under the influence of various generalized central-field potentials is considered. Solutions are obtained using a finite expansion of the perturbation wave functions in terms of associated Laguerre polynomials. Higher orders of perturbation theory are obtained without having to perform integrations over the continuum states, and the solution can be written explicitly to any order. This perturbation procedure is applied to the three dimensional symmetric anharmonic oscillator and to the rigid rotator.

Partial Contents

1. Introduction -- 2. Coulomb potential perturbed by a harmonic oscillator potential -- 3. Harmonic oscillator potential perturbed by a generalized potential of the form λ rⁿ -- 4. Rigid rotator in a uniform electric field -- 5. Summary and conclusions -- Appendix.