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Now showing items 1-10 of 10

#### THE INVARIANCE PRINCIPLE AND ASYMPTOTIC COMPLETENESS FOR A QUANTUM MECHANICAL SYSTEM

(ProQuest Dissertations & Theses, 1982)

We study operators H and H(,0) acting on the Hilbert Space L('2)(R). The free or unperturbed operator H(,0) is the multiplication (also known as the position) operator x. We consider H = H(,0) + A, where the perturbation ...

#### TWO PARALLEL QUEUES CREATED BY ARRIVALS WITH TWO DEMANDS

(ProQuest Dissertations & Theses, 1982)

In this thesis we consider the system of two unbounded single server queues in which a customer upon arrival joins both queues. The arrivals are assumed to form a Poisson process with mean interarrival time 1 and the servers ...

#### DIFFERENCE EQUATION METHODS FOR SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS

(ProQuest Dissertations & Theses, 1982)

Difference equation techniques are applied to determine sufficient conditions on polynomials P(x,y) for which the Fischer space related differential equation.;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI).;has (a) ...

#### Classical mechanics over fields of characteristic p greater than 0

(ProQuest Dissertations & Theses, 1986)

A formulation of the algebraic structures of a classical mechanics over fields of characteristic p {dollar}>{dollar} 0 is presented. It is shown how a definition of an abstract mechanics, which is a composition class of ...

#### THE SPECTRA OF THE SCHROEDINGER OPERATOR

(ProQuest Dissertations & Theses, 1984)

We look at the Schrodinger operator H=-(DELTA)+q(x) where (DELTA) is the Laplacian and q(x)(epsilon)R('n). We give sufficient conditions for the spectrum of H to contain the interval of the form {lcub}a,(INFIN)) and ...

#### EXISTENCE AND COMPLETENESS OF WAVE OPERATORS IN TWO HILBERT SPACES

(ProQuest Dissertations & Theses, 1984)

In this thesis we consider an unperturbed self-adjoint operator H(,0) on a Hilbert space H(,0), the operators A, B mapping H(,0) to the Hilbert space K, and J a bounded linear operator mapping the Hilbert space H(,0) to ...

#### ON THE COMPLETENESS OF (F(N THETA)) AND A RECIPROCAL THEOREM FOR ABSOLUTELY CONVERGENT DIRICHLET SERIES

(ProQuest Dissertations & Theses, 1980)

#### THE SCATTERING THEORY OF THE KLEIN-GORDON EQUATION IN TWO HILBERT SPACES WITH GENERAL AND OSCILLATING POTENTIALS

(ProQuest Dissertations & Theses, 1984)

This dissertation considers three problems associated with the Klein-Gordon Equation: (a) The conditions for the operator to be self-adjoint; (b) The existence of the wave operator; and (c) The completeness of the wave ...

#### ERGODIC PROPERTIES OF A PARTICLE IN CONTACT WITH A HEAT BATH

(ProQuest Dissertations & Theses, 1980)

We study the ergodic properties of a system of point particles on the semi-infinite line. The particles evolve under a dynamics where the only interaction is between the first particle and each of the other particles through ...

#### WISHART EXPECTATION OPERATORS AND INVARIANT DIFFERENTIAL OPERATORS

(ProQuest Dissertations & Theses, 1980)

Let E(,n) denote the expectation operator of the Wishart distribution W(k,n,(SUMM)) and let E(,n)('t) denote the "conditional" expectation operator defined by.;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI).;where ...