%**	This is a pure LaTeX 2e file
%**	Filename:
%**	Last update:
%**	Last update:	(for the REVTeX version)
%**     Final version:
%**	Title:
%**	Purpose:
%**
%**
%**	Author (and responsible for all errors):
%**
%***************************************************************************%
%**                                                                       **%
%**	 Article style of BOZHIDAR ZAKHARIEV ILIEV: 		 	  **%
%**                                                                       **%
%**	 Laboratory of Mathematical Modeling in Physics			  **%
%**	 Institute for Nuclear Research and Nuclear Energy                **%
%**	 Bulgarian Academy of Sciences                                    **%
%**	 Boul. Tzarigradsko chauss\'ee~72, 1784 Sofia, Bulgaria           **%
%**	 E-mail address: bozho@inrne.bas.bg				  **%
%**      URL: http://theo.inrne.bas.bg/~bozho/	        		  **%
%**                                                                       **%
%**                                                                       **%
%**			(May be used freely by everybody)                 **%
%**                                                                       **%
%***************************************************************************%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%                                                                       %%
%% 		Beginning of \CharacterTable                             %%
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\typeout{}
\typeout{????????????????????????????????????????????????????????????????}
\typeout{}
\typeout{This is the file of the article}
\typeout{"Momentum Operator in Quantum Field Theory"}
\typeout{by Bozhidar Zakhariev Iliev.}
\typeout{Its initial draft version was written during the period}
\typeout{March 20, 2001-- June 16, 2001}
\typeout{}
\typeout{vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv}
\typeout{}

%====>>	BEGINNING OF EXTERNAL FILES	====>>	====>>	====>>	====>>

% Beginning of file
%\begin{filecontents}{}
%
%
%\end{filecontents}
% End of file



%%% NOT permited in REVTeX; presented below in the preambule
% Beginning of file Bozho-LaTeX-Style.sty
% \begin{filecontents}{Bozho-LaTeX-Style.sty}
% \end{filecontents}
% End of file Bozho-LaTeX-Style.sty


%%% NOT permited in REVTeX
% Beginning of file Bozho-LaTeX-Logo.sty
% \begin{filecontents}{Bozho-LaTeX-Logo.sty}
% \end{filecontents}
% End of file Bozho-LaTeX-Logo.sty

%%% in conflict with REVTeX (more precicely, with the natbib package)
% Beginning of file cite.sty
% \begin{filecontents}{cite.sty}
% \end{filecontents}
% End of file cite.sty


% <<====	END OF EXTERNAL FILES	<<====	<<====	<<====	<<====



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -->-->-->-->>
%	Beginning of the PREAMBLE  of the BOZHO'S article style    -->-->-->>
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -->-->-->-->>


%%% for standard or Bozho article style
%%% \documentclass[11pt,titlepage,a4paper]{article}

% required for RevTeX revision
%
% for journal article
 \documentclass[twocolumn,showpacs,showkeys,amsmath,amssymb,prd]{revtex4}
% for peer review
% \documentclass[preprint,showpacs,showkeys,amsmath,amssymb,prd]{revtex4}

%%% from the sample REVTeX fiel apssample.tex
% Some other (several out of many) possibilities
% \documentclass[twocolumn,showpacs,preprintnumbers,amsmath,amssymb]{revtex4}
%  \documentclass[preprint,showpacs,preprintnumbers,amsmath,amssymb]{revtex4}
%\documentclass[preprint,aps]{revtex4}
%\documentclass[preprint,aps,draft]{revtex4}
%\documentclass[prb]{revtex4}% Physical Review B


%%% required for REVTeX revision
%%% the AMS package
\usepackage{amsmath}
\usepackage{amscd}
\usepackage{amsxtra}
\usepackage{upref}
\usepackage{amsthm}
\usepackage{amsfonts}
\usepackage{amssymb}
%
% \usepackage{graphicx}% Include figure files
% \usepackage{dcolumn}% Align table columns on decimal point
\usepackage{bm}% bold math

%%% \usepackage{showkeys}% for draft text


% \nofiles

%%% 	Specific REVTeX commands:
%	\cite with [...]
%	\onlinecite   Ref..., Refs..., and ...
%	\widetext for usage of the two columns as a text width



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%      Specific settings for this work only      %%%%%%%%%%%%%%
%%%%%%%%								%%%%%%

%%% !!! The following package is alltered to fit REVTeX version !!!

%***************************************************************************%
%**     BEGINNING of LaTeX2e style package of BOZHIDAR ZAKHARIEV ILIEV    **%
%**	Revised for use with REVTeX package				  **%
%**	Filename: Bozho-LaTeX-Style.sty                                            **%
%**	Author (and responsible for all errors):                          **%
%***************************************************************************%
%**                                                                       **%
%**	  BOZHIDAR ZAKHARIEV ILIEV:					  **%
%**                                                                       **%
%**	  Laboratory of Mathematical Modeling in Physics		  **%
%**	  Institute for Nuclear Research and Nuclear Energy               **%
%**	  Bulgarian Academy of Sciences                                   **%
%**	  Boul. Tzarigradsko chauss\'ee~72, 1784 Sofia, Bulgaria          **%
%**	  E-mail address: bozho@inrne.bas.bg                              **%
%**       URL: http://theo.inrne.bas.bg/~bozho/		       		  **%
%**                                                                       **%
%**                                                                       **%
%**			(May be used freely by everybody)                 **%
%**                                                                       **%
%***************************************************************************%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% 		Beginning of \CharacterTable                             %%
%%                                                                       %%
%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z  %%
%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z  %%
%%   Digits        \0\1\2\3\4\5\6\7\8\9                                  %%
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%%   Minus         \-     Point         \.     Solidus       \/          %%
%%   Colon         \:     Semicolon     \;     Less than     \<          %%
%%   Equals        \=     Greater than  \>     Question mark \?          %%
%%   Commercial at \@     Left bracket  \[     Backslash     \\          %%
%%   Right bracket \]     Circumflex    \^     Underscore    \_          %%
%%   Grave accent  \`     Left brace    \{     Vertical bar  \|          %%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



% ======================== identification ===================================
%\NeedsTeXFormat{LaTeX2e}[1995/12/01]
%\ProvidesPackage{bozhomac}[2002/06/02
%			   BOZHIDAR Z. ILIEV's LaTeX2e style package]
%
%
% ========================  initial code ====================================
%
% ---------> Beginning of Package Loading part
%
%	Some definitions need (or are modified by) the following packages
%	AMS-LaTeX, AMSFonts

%	Beginning of full AMS-LaTeX package
%%% \RequirePackage{amsmath}[1996/11/01]% it subsumes: amstext, amsbsy, amsopn
% \RequirePackage{amstext}[1996/10/28]%	main AMS math package
% \RequirePackage{amsbsy}[1996/10/28]%	bold symbols
% \RequirePackage{amsopn}[1996/10/28]%	operator names
% \RequirePackage{amsintx}[1996/10/28]%	dummy (at present)
%%% \RequirePackage{amscd}[1996/10/28]%	Commutative Diagrams
%%% \RequirePackage{amsxtra}[1996/10/28]%	extra math symbols
%%% \RequirePackage{upref}[1996/10/28]%	upright references in \emph mode
%%% \RequirePackage{amsthm}[1996/10/24]%	theorem environment
%	End of full AMS-LaTeX

%	Beginning of full AMSFonts
%%% \RequirePackage{amsfonts}[1995/02/01]%	fonts
%%% \RequirePackage{amssymb}[1995/02/01]%	bold symbols
% \RequirePackage{eucal}[1995/01/06]
% \RequirePackage{cmmib57}[1995/01/26]
%	End of full AMSFonts

% ---------> End of Package Loading part


% =================== declaration of options ===============================

% =================== execution of options =================================



% =================== main code ============================================


%++++++++++++++++++++++++++++++++++++++----------------------------------------
%	BEGINNING of theorem-like environments (BOZHO'S DEFINITIONS):
%++++++++++++++++++++++++++++++++++++++----------------------------------------

%	\swapnumbers
	\theoremstyle{plain} % default
%	\theorembodyfont{\rmfamily\itshape} % requires amstex package

\newtheorem{Axm}{Axiom}[section]			% [ AXIOM ]
%%% \newenvironment{axm}[2][]{\begin{Axm}#1\label{axm#2}}{\end{Axm}}

\newtheorem{Post}{Postulate}[section]			% [ PRINCIPLE ]
%%% \newenvironment{post}[2][]{\begin{Post}#1\label{post#2}}{\end{Post}}

\newtheorem{Prin}{Principle}[section]			% [ PRINCIPLE ]
%%% \newenvironment{prin}[2][]{\begin{Prin}#1\label{prin#2}}{\end{Prin}}

\newtheorem{Thm}{Theorem}[section]			% [ THEOREM ]
%%% \newenvironment{thm}[2][]{\begin{Thm}#1\label{thm#2}}{\end{Thm}}

\newtheorem{Prop}{Proposition}[section]			% [ PROPOSITION ]
%%% \newenvironment{prop}[2][]{\begin{Prop}#1\label{prop#2}}{\end{Prop}}

\newtheorem{Lem}{Lemma}[section]     			% [ LEMMA ]
%%% \newenvironment{lem}[2][]{\begin{Lem}#1\label{lem#2}}{\end{Lem}}

\newtheorem{Cor}{Corollary}[section] 			% [ COROLLARY ]
%%% \newenvironment{cor}[2][]{\begin{Cor}#1\label{cor#2}}{\end{Cor}}

\newtheorem{Crit}{Criterion}[section] 			% [ Criterion ]
%%% \newenvironment{crit}[2][]{\begin{Crit}#1\label{crit#2}}{\end{Crit}}

%	Versions
% to produce variants of the theorems-like ... numbering Redefine \theVar... !!!
% \theoremstyle{plain}	% plain, definition, or remark
\newtheorem{VarThm}{Theorem}			% [THEOREM ]
\newtheorem{VarAxm}{Axiom}			% [ AXIOM ]
\newtheorem{VarPost}{Postulate}			% [ POSTULATE ]
\newtheorem{VarPrin}{Principle}			% [ PRINCIPLE ]
\newtheorem{VarProp}{Proposition}		% [ PROPOSITION ]
\newtheorem{VarLem}{Lemma}		     	% [ LEMMA ]
\newtheorem{VarCor}{Corollary}			% [ COROLLARY ]
\newtheorem{VarCrit}{Criterion} 		% [ Criterion ]

	\theoremstyle{definition}	%*********************************
%	\theorembodyfont{\rmfamily\slshape} % requires amstex package

\newtheorem{Defn}{Definition}[section]			% [ DEFINITION ]
%%% \newenvironment{defn}[2][]{\begin{Defn}#1\label{denf#2}}{\end{Defn}}

\newtheorem{Conj}{Conjecture}[section] 			% [ CONJECTURE ]
%%% \newenvironment{conj}[2][]{\begin{Conj}#1\label{conj#2}}{\end{Conj}}

\newtheorem{Exmp}{Example}[section]			% [ EXAMPLE ]
%%% \newenvironment{exmp}[2][]{\begin{Exmp}#1\label{exmp#2}\slshape}{\end{Exmp}}

\newtheorem{Prob}{Problem}[section] 			% [ PROBLEM ]
%%% \newenvironment{prob}[2][]{\begin{Prob}#1\label{prob#2}}{\end{Prob}}

%	Versions
\newtheorem{VarDefn}{Definition}		% [ DEFINITION ]
\newtheorem{VarConj}{Conjecture} 		% [ CONJECTURE ]
\newtheorem{VarExmp}{Example}			% [ EXAMPLE ]
\newtheorem{VarProb}{Problem} 			% [ PROBLEM ]

	\theoremstyle{remark}	%*********************************
%	\theorembodyfont{\rmfamily\upshape} % requires amstex package

\newtheorem{Rem}{Remark}[section] 			% [ REMARK ]
%%% \newenvironment{rem}[2][]{\begin{Rem}#1\label{rem#2}\upshape}{\end{Rem}}

\newtheorem{Comm}{Comments}[section] 			% [ COMMENT ]
%%% \newenvironment{comm}[2][]{\begin{Comm}#1\label{comm#2}\upshape}{\end{Comm}}

\newtheorem{Note}{Note}[section] 			% [ NOTE ]
% the next is predefined in REVTeX !!!
%%%  \newenvironment{note}[2][]{\begin{Note}#1\label{note#2}}{\end{Note}}

\newtheorem{Case}{Case}[section] 			% [ CASE ]
%\newenvironment{case}[2][]{\begin{Case}#1\label{case#2}}{\end{Case}}

%	Versions
\newtheorem{VarRem}{Remark} 			% [ REMARK ]
\newtheorem{VarComm}{Comments} 			% [ COMMENT ]
\newtheorem{VarNote}{Note} 			% [ NOTE ]
\newtheorem{VarCase}{Case} 			% [ CASE ]

%	\theoremstyle{remark}	%*********************************
 %	\theorembodyfont{\sffamily\upshape}  requires amstex package

\newtheorem{Alg}{Algorithm}[section] 			% [ ALGORITHM ]
%%% \newenvironment{alg}[2][]{\begin{Alg}\label{alg#2}}{\end{Alg}}

\newtheorem{Claim}{Claim}[section] 			% [ CLAIM ]
%%% \newenvironment{claim}[2][]{\begin{Claim}#1\label{claim#2}}{\end{Claim}}

\newtheorem{Ack}{Acknowledgment}[section]		% [ ACKNOWLEDGMENT ]
%%% \newenvironment{ack}[2][]{\begin{Ack}#1\label{ack#2}}{\end{Ack}}

%	Versions
\newtheorem{VerAlg}{Algorithm} 			% [ ALGORITHM ]
\newtheorem{VerClaim}{Claim} 			% [ CLAIM ]
\newtheorem{VerAck}{Acknowledgment}		% [ ACKNOWLEDGMENT ]

%++++++++++++++++++++++++++++++++++++++----------------------------------------
%	END of theorem-like environments (BOZHO'S DEFINITIONS):
%++++++++++++++++++++++++++++++++++++++----------------------------------------


%  >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>><<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
%  BEGINNING of New and Renew commands and environments (BOZHO'S DEFINITIONS):

% use to produce exceptional versions of existing environments
%	REDEFINE the corresponding counters and there appearance!!
\newenvironment{Version}[1][Choose a NAME and FONT!]%
		{\vspace{0.0ex}\noindent{#1}}%
		{\vspace{1.2ex}}

% {Proof}: an alternative is the AMS (amsthm package) "proof" environment
%	   but it often does not end correctly.
\newenvironment{Proof}[1][Proof.]%
		{\vspace{0.0ex}\noindent\textit{#1\hspace*{0.5em}}}%
		{\hspace*{0pt}\hfill\QEDsymbol\vspace{1.2ex}}
% Q.E.D.  symbols. The AMS package `amsthm` provides \qed producing \qedsymbol
\providecommand{\qedsymbol}{$\square$}  % Requires amssymb package
    \newcommand{\QEDsymbol}{$\square$}	% Requires amssymb package
\providecommand{\qed}{\hfill\qedsymbol}
%\newcommand{\QED}[1][6]{\hfill\hbox{\vrule width #1pt height #1pt depth 0pt}}
\newcommand{\QED}{\hspace*{0pt}\hfill Q.E.D.}

%	Matrices and vectors:
\newcommand{\Mat}[1]{\boldsymbol{#1}}	% Matrix of a vector or linear map
\newcommand{\Vect}[1]{\boldsymbol{#1}}	% Vector quantity
\providecommand{\openone}{\leavevmode\hbox{\small1\kern-3.8pt\normalsize1}}
					% Unit Matrix (Taken from REVTeX)

%	Mathematical Abbreviations:
\newcommand{\id}{\mspace{2mu}\mathsf{i}\mspace{-1mu}\mathsf{d}}% identity map
\newcommand{\const}{\mathrm{const}}	%  constant quantity
\newcommand{\iu}   {\mathrm{i}}		%  Imaginary Unit
\newcommand{\e}{\ensuremath{\mathrm{e}}}%  base of natural logarithms

%	Field (in algebraic sense)
\newcommand{\field}[1][K]{\ensuremath{\mathbb{#1}}}

%	Lie groups and algebras
\newcommand{\G}{\mathrm{G}}		% Group
\newcommand{\g}{\mathfrak{g}}		% Group Lie algebra
%
\DeclareMathOperator{\GL}{\mathrm{GL}}	% General Linear (Group)
\DeclareMathOperator{\gl}{\mathfrak{gl}}% General Linear (Group) Lie algebra
%
\DeclareMathOperator{\Ug}{\mathrm{U}}	% Unitary (Group)
\DeclareMathOperator{\ug}{\mathfrak{u}}	% Unitary (Group) Lie algebra
\DeclareMathOperator{\SU}{\mathrm{SU}}	% Special Unitary (Group)
\DeclareMathOperator{\su}{\mathfrak{su}}% Special Unitary (Group) Lie algebra
%
\DeclareMathOperator{\Og}{\mathrm{O}}	% Orthogonal (Group)
\DeclareMathOperator{\og}{\mathfrak{o}}	% Orthogonal (Group) Lie algebra
\DeclareMathOperator{\SO}{\mathrm{SO}}	% Special Orthogonal (Group)
\DeclareMathOperator{\so}{\mathfrak{so}}% Special Orthogonal (Group) Lie algebra

%	Ordinary and Partial differentials:
\newcommand{\ordinary}{\mathrm{d}}	% ordinary differential
\newcommand{\od}      {\ordinary}       % Ordinary Differential (abbreviation)
% the command \partial is predefined    % Partial Differential
\newcommand{\pd}      {\partial}        % Partial Differential  (abbreviation)
\DeclareMathOperator{\odo}{\mathrm{d}}  % Ordinary Differential Operator
\DeclareMathOperator{\pdo}{\partial}    % Partial Differential Operator
\newcommand{\Id}[1][\,]{#1\mathrm{d}}	% Integral Differential

%	left index(es) in \mathnormal:
\newcommand{\lindex}[3][{}]{{}\mspace{3mu}{\vphantom{#1}}%
	_{#2}^{#3}\mspace{-0.8mu}{#1}}
%	left index(es) in \mathrm:
\newcommand{\lindexrm}[3][{}]{{}\mspace{3mu}{\vphantom{#1}}%
	_{\mathrm{#2}}^{\mathrm{#3}}\mspace{-0.8mu}{#1}}
%	right indexes with space below/over them
\newcommand{\Sprindex}[3][]{{#1}_{\hphantom{#3}#2}^{#3}}%Super: space below it
\newcommand{\Sbrindex}[3][]{{#1}_{#2}^{\hphantom{#2}#3}}% Sub:   space over  it

%	Differential geometry
%	Fields (in differential geometric sense; particular sections}
\newcommand{\Fields}[1]{\ensuremath{\mathfrak{#1}}}
%       Algebra (as an algebraic structure)
\newcommand{\algebra}[1]{\ensuremath{\boldsymbol{#1}}}
%	Dimensions with respect to some (algebraic) field
\newcommand{\dimR}[1][R]{\dim_{\field[#1]}}% Real dimension
\newcommand{\dimC}[1][C]{\dim_{\field[#1]}}% Complex dimension
\newcommand{\dimK}[1][K]{\dim_{\field[#1]}}% Dimension with resp. to \field K
%	Christoffel symbols
\newcommand{\Christoffel}[3][]{\genfrac{\{}{\}}{0pt}{}{#2}{#3}_{#1}}


%	Physical Abbreviations:
\newcommand{\ih}{\mathrm{i}\hbar}% imaginary unit times Planck constant/{2\pi}
\newcommand{\iih}{\frac{1}{\ih}} % the inverse to \ih (see previous command)
			       %=1/(imaginary unit times Planck constant/2\pi)

%	Additional description of the title page
   \newcommand{\ShortTitle}[1]{\textbf{\textsl{Short title:} #1}}
   \newcommand{\Subject}[1]   {\textit{\textbf{Subject Classes:\\}#1}}
   \newcommand{\MSC}[2][1991]{\begin{tabular}{@{}c@{}}%
	\textit{\textbf{#1 MSC numbers:}}\\  \itshape #2    \end{tabular} }
   \newcommand{\PACS}[2][1996]{\begin{tabular}{@{}c@{}}%
	\textit{\textbf{#1 PACS numbers:}}\\ \itshape #2    \end{tabular} }
   \newcommand{\KeyWords}[1]  {\textit{\textbf{Key-Words:\\}#1}}

%	Nice formatting of (subject) index
\newcommand{\ff}[1]{#1ff}% e.g., "64ff" in the Index ("and following pages")
\newcommand{\nn}[1]{#1n} % e.g., "64n"  in the Index (footNote item)
\newcommand{\defined}[2][{}]{\textbf{#2}#1{}}%
				% Index page(s) where a concept is defined
\newcommand{\seealso}[3][\emph{see also}]{#1 #2}
				% modified "see" command for MakeIndex

%	Sans Serif capital Latin letters & their possible usage
\newcommand{\Dsf}{\mathsf{D}}		% Derivation along paths of sections
					% or of the tensor algebra
\newcommand{\Psf}{\mathsf{P}}		% Parallel transport along path
\newcommand{\Rsf}{\mathsf{R}}		% parallel transport cuRvature

%	Black board capital Latin letters & their possible usage
\newcommand{\Pbb}{\mathbb{P}}		% Parallelism structure

%	Slashed and backslashed symbols (normal and diagonal variant):
\newcommand{\slashed}[1]{\ensuremath{#1\mspace{-9.2mu}/}}%slashed small symbol
\newcommand{\Slashed}[1]{\ensuremath{#1\mspace{-11.3mu}/}}% for BIG symbols
\newcommand{\backslashed}[1]{\ensuremath{#1\mspace{-9.4mu}\backslash}}% small
\newcommand{\Backslashed}[1]{\ensuremath{#1\mspace{-11.0mu}\backslash}}% BIG
\newcommand{\varslashed}[1]{\ensuremath{#1\mspace{-11.8mu}\diagup}} % var
\newcommand{\varSlashed}[1]{\ensuremath{#1\mspace{-14.9mu}\diagup}} % var
\newcommand{\varbackslashed}[1]{\ensuremath{#1\mspace{-12.4mu}\diagdown}}% var
\newcommand{\varBackslashed}[1]{\ensuremath{#1\mspace{-14.2mu}\diagdown}}% var

%	Latin abbreviations:
\newcommand{\ie} {i.e.\ }		%  That is (Latin: It Est)
\newcommand{\cf} {cf.\ }		%  Compare with (Latin: ConFer)
\newcommand{\eg} {e.g.\ }		%  For example (Latin: Exapli gratia)
\newcommand{\etc}{etc.\ }		%  And so on (Latin: et cetera)
\newcommand{\viz}{viz.\ }		%  That is (Latin: vidilizet)
\newcommand{\vv}{v.v.\ }		%  Inversely (Latin: vice versa)
\newcommand{\vive}{\emph{vice versa}}	%  Inversely (Latin: vice versa)

%	No breakable dashes:
\newcommand{\Ndash}{\nobreakdash--}	     %no breakable dash (Number range)
\newcommand{\ndash}{\nobreakdash-\hspace{0pt}}% no breakable normal dash

%	Special brackets
\newcommand{\slb}{[\![}       % Special Left  Bracket (like black board "[")
\newcommand{\srb}{]\!]}	      % Special Right Bracket (like black board "]")
\newcommand{\clangle}{\mspace{-1.0mu}\prec\mspace{-5.3mu}}%calligraphic \langle
\newcommand{\crangle}{\mspace{-5.3mu}\succ\mspace{-1.0mu}}%calligraphic \rangle

%	Misc
\newcommand{\bs}[1]{\boldsymbol{#1}}	% Boldface Symbols (AMS style)
\newcommand{\xlrarrow}[2][12mu]{% extensible left-right arrow over an object
    \overset{%
	\xleftarrow{\hphantom{#2}\mspace{-2mu}}%
	\mspace{-#1}\mspace{-#1}%
	\xrightarrow{\mspace{2mu}}%
   	    }%
   	    {{#2}}%
   }% optional argument: equals 1/2 times the overlapping of the 2 arrows
    % Ignore the internal overfull warnings!


%		END of new commands and environments
%  >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>><<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<


%	>=================================>
%	BEGINNING of Mathematical Operators  (requires amsopn.sty package)

% Set theory and topology
 \DeclareMathOperator{\diam}{diam}	% diameter

% Mappings
 \DeclareMathOperator{\Ker}{Ker}	% Kernel
% \DeclareMathOperator{\ker}{ker}	% kernel	; LaTeX predefined
 \DeclareMathOperator{\rank}{rank}	% rank
 \DeclareMathOperator{\im}{im}		% image
 \DeclareMathOperator{\degree}{deg}	% degree        ; LaTeX predefined

% Complex numbers:
 \DeclareMathOperator{\Imp}{Im}		% Imaginary part; LaTeX predefined
 \DeclareMathOperator{\Rep}{Re}		% Real part     ; LaTeX predefined

% Matrices
 \DeclareMathOperator{\Tr}{Tr}		% Trace (spur) of matrices/operators
 \DeclareMathOperator{\Spur}{Sp}	% Spur (trace) of matrices/operators
 \DeclareMathOperator{\diag}{diag}	% Diagonal matrix

% Fibre bundles
 \DeclareMathOperator{\Sec}{Sec}	% set of Sections of a fibre bundle
 \DeclareMathOperator{\PSec}{PSec}	% set of Sections of ... along Paths
 \DeclareMathOperator{\Morf}{Mor}	% set of Morphisms of a fibre bundle
 \DeclareMathOperator{\PMorf}{PMor}	% set of Morphisms of... along Paths
 \DeclareMathOperator{\MorfSec}{MorSec}	% set of Morphism of the set of
					% Sections of a bundle
 \DeclareMathOperator{\Diff}{Diff}	% set of Diffeomorphisms
 \DeclareMathOperator{\Lift}{Lift}	% set of Liftings
 \DeclareMathOperator{\PLift}{PLift}	% set of Liftings along Paths
 \DeclareMathOperator{\Path}{P}		% set of Paths
 \DeclareMathOperator{\PF}{PF}		% set of Functions along Paths
 \DeclareMathOperator{\pr}{\mathrm{pr}}	% projection mapping
 \DeclareMathOperator{\morf}{mor}	% Morphism fibre bundle of a bundle

% Exponents
 \DeclareMathOperator{\Pexp}{Pexp}	% Path ordered exponent
 \DeclareMathOperator{\Texp}{Texp}	% Time ordered exponent

%	Differential vector operators:
\DeclareMathOperator{\diver}{div}	% divergence
\DeclareMathOperator{\grad}{grad}	% gradient
\DeclareMathOperator{\rot}{rot}		% rotor

%	Ordinary and Partial differentials: 	these are defined above
% \DeclareMathOperator{\odo}{\mathrm{d}}  % Ordinary Differential Operator
% \DeclareMathOperator{\pdo}{\partial}    % Partial Differential Operator

% Misilaneous
 \DeclareMathOperator{\sign}{sign}	% sign of a real number
 \DeclareMathOperator{\sgn} {sgn}	% sign of a real number
 \DeclareMathOperator{\Supp}{Supp}	% Support of a function
 \DeclareMathOperator{\supp}{supp}	% Support of a function

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%%% 	\upshape\sffamily\bfseries Momentum operator in quantum field theory}
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% New commands for the particular paper
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% Fibre bundles (Hilbert bundles)
\newcommand{\Hil}{\mathcal{F}}		% usual Hilbert space ----->>>
\newcommand{\HilB}{(\bHil,\proj,\base,\Hil)}	% Hilbert fibre bundle
\newcommand{\bHil}{\mathit{F}}	% (total) bundle Hilbert space
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% Operators (in the fibre= standard Hilbert space)
% \newcommand{\ope}[1]{\mathcal{#1}}		 % operator (1 argument var.)
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% \newcommand{\mmor}[1]{\boldsymbol{\mathit{#1}}}	 % matrix of morphism

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%%% Bozhidar Z.\ Iliev
%%% \thanks{Laboratory of Mathematical Modeling in Physics,
%%% Institute for Nuclear Research and \mbox{Nuclear} Energy,
%%% Bulgarian Academy of Sciences,
%%% Boul.\ Tzarigradsko chauss\'ee~72, 1784 Sofia, Bulgaria}
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\begin{document}

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\title{		} % Main Title

\author{Bozhidar Z.\ Iliev}
% \altaffiliation%[Also at ]
% {Laboratory of Mathematical Modeling in Physics,
% Institute for Nuclear Research and Nuclear Energy,
% Bulgarian Academy of Sciences,
% Boul.\ Tzarigradsko chauss\'ee~72, 1784 Sofia, Bulgaria
% }
 \affiliation{%
Laboratory of Mathematical Modeling in Physics,
Institute for Nuclear Research and Nuclear Energy,
Bulgarian Academy of Sciences,
Boul.\ Tzarigradsko chauss\'ee~72, 1784 Sofia, Bulgaria
}
\email{bozho@inrne.bas.bg}
\homepage{http://theo.inrne.bas.bg/~bozho/}

\date{\today}% It is always \today, today,
             %  but any date may be explicitly specified



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\section {Introduction}
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\end{document}






>=>=>=>=>=>
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=============================================================================
=============================================================================
>>>		I do not want to profit from the Science,                 <<<
>>		but the Science may profit from me!                        <<
>						    Bozho                   <
=============================================================================
=============================================================================

