Worcester Polytechnic Institute Electronic Theses and Dissertations Collection

Title page for ETD etd-043007-113236


Document Typethesis
Author NameNasto, Rachel Harte
URNetd-043007-113236
TitleMori Projected Dynamics On A Quantum System
DegreeMS
DepartmentPhysics
Advisors
  • Dr. George Phillies , Advisor
  • Dr. Germano Iannacchione, Committee Member
  • Dr. Padmanabhan K. Aravind, Committee Member
  • Keywords
  • Mori
  • Projected Dynamics
  • Date of Presentation/Defense2007-04-26
    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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