% -*-latex-*-
% Revision 1.4  1997/04/18  17:54:10  othomas
% added page numbers on abstract and cover, and made 1 abstract
% page the default rather than 2.  (anne hunter tells me this
% is the new institute standard.)
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% Revision 1.3  93/05/17  17:06:29  starflt
% Added acknowledgements section (suggested by tompalka)
% 
% Revision 1.2  92/04/22  13:13:13  epeisach
% Fixes for 1991 course 6 requirements
% Phrase "and to grant others the right to do so" has been added to 
% permission clause
% Second copy of abstract is not counted as separate pages so numbering works
% out
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% Revision 1.1  92/04/22  13:08:20  epeisach
\title{Quantum-mechanical return~probability of a~wave~packet
       and its~relationship to classical~periodic~orbits}

\author{Albert Dvornik}
\department{Department of Physics}
% If the thesis is for two degrees simultaneously, list them both
% separated by \and like this:
% \degree{Doctor of Philosophy \and Master of Science}
\degree{Bachelor of Science in Physics}
\degreemonth{February}
\degreeyear{1998}
\thesisdate{January 26, 1998}

%% By default, the thesis will be copyrighted to MIT.  If you need to copyright
%% the thesis to yourself, just specify the `vi' documentstyle option.  If for
%% some reason you want to exactly specify the copyright notice text, you can
%% use the \copyrightnoticetext command.  
%\copyrightnoticetext{\copyright IBM, 1990.  Do not open till Xmas.}

% If there is more than one supervisor, use the \supervisor command
% once for each.
\supervisor{Michel Baranger}{Professor of Physics}

% this is the department committee chairman, not the thesis committee chairman
\chairman{June L. Matthews}{Professor of Physics \\
	                    Chairman, Undergraduate Thesis Committee}

% Make the titlepage based on the above information.  If you need
% something special and can't use the standard form, you can specify
% the exact text of the titlepage yourself.  Put it in a titlepage
% environment and leave blank lines where you want vertical space.
% The spaces will be adjusted to fill the entire page.  The dotted
% lines for the signatures are made with the \signature command.
\maketitle

% The abstractpage environment sets up everything on the page except
% the text itself.  The title and other header material are put at the
% top of the page, and the supervisors are listed at the bottom.  A
% new page is begun both before and after.  Of course, an abstract may
% be more than one page itself.  If you need more control over the
% format of the page, you can use the abstract environment, which puts
% the word "Abstract" at the beginning and single spaces its text.

%% You can either \input (*not* \include) your abstract file, or you can put
%% the text of the abstract directly between the \begin{abstractpage} and
%% \end{abstractpage} commands.

% First copy: start a new page, and save the page number.
\newpage
% Uncomment the next line if you do NOT want a page number on your
% abstract and acknowledgments pages.
% \pagestyle{empty}
\setcounter{savepage}{\thepage}
\begin{abstractpage}
\input{abstract}
\end{abstractpage}

% Additional copy: start a new page, and reset the page number.  This way,
% the second copy of the abstract is not counted as separate pages.
\iftwoabstracts
\newpage
\setcounter{page}{\thesavepage}
\begin{abstractpage}
\input{abstract}
\end{abstractpage}
\fi

\newpage
\section*{Acknowledgments}

I am deeply indebted to a large number of people who helped, in one
way or another, with the completion of this work.  I hope that I have
not omitted any of them, and that they will not be offended if I have.

My thesis advisor, Michel Baranger, was both very helpful in the
development of the material, and far more understanding than I had any
right to deserve.  Robert Cruikshank and Abbe Cohen read an advanced
draft and helped improve the clarity of my writing.  The calculations
were speeded up by the FFTW software package, written by Steven
Johnson and Matteo Frigo, which was brought to my attention by
Dr. Power.

Much gratitude goes to my friends and relatives, who have all offered
much emotional support, at the times when I needed it the most.  My
parents, in particular, supported me against all odds, which is yet
another thing that I won't ever be able to repay them for.  I must
also thank the past and present staff of the Undergraduate Physics
Office for the large amount of help I have received there over the
years.

Finally, Craig Fields came up with the flipbook idea.  Since I am the
one writing this paragraph, I disavow any credit for it, and reject
all responsibility as well.
