Title page for ETD etd-043007-113236

Document Type	thesis
Author Name	Nasto, Rachel Harte
URN	etd-043007-113236
Title	Mori Projected Dynamics On A Quantum System
Degree	MS
Department	Physics
Advisors	Dr. George Phillies , Advisor Dr. Germano Iannacchione, Committee Member Dr. Padmanabhan K. Aravind, Committee Member
Keywords	Mori Projected Dynamics
Date of Presentation/Defense	2007-04-26
Availability	unrestricted
Abstract In this thesis we discuss Mori Projected Time Dynamics in a quantum mechanical system. As a precursor to calculating the time derivative of a mixed state of the system we examine the derivation of the Mori-Zwanzig formalism and different ways of calculating the time dynamics of various quantum systems. We consider the exact calculation of the time derivative of a mixed state. We then calculate the same time evolution using Mori Theory and compare the two results. From the general calculation of the Mori Equation we were able to perform a series of simple tests to compare Mori Theory to the known result. We discovered that in each of the three simple cases the Mori Equation and the direct calculation of the derivative give the same result, but in the more complicated situations the two calculations differed. This result leads us to believe that the Mori Equation is an accurate way of calculating the derivative of a mechanical variable in a quantum system.
Files	rnasto.pdf

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