Aktuální verze z 12. 6. 2017, 18:07

Zdrojový kód

%\wikiskriptum{02KVAN2}
 
\documentclass[a4paper,12pt]{article}
\usepackage[czech]{babel}
\usepackage[utf8]{inputenc}
\usepackage{amsfonts,amsmath,mathpazo,enumerate,makeidx,upgreek}
\usepackage[T1]{fontenc}
\usepackage{a4wide}
\usepackage{mathrsfs}       % kvuli peknymu Hilbertovu prostoru
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage[pdftex]{graphicx}
\usepackage{epstopdf}
\usepackage{float}
\usepackage{graphicx}
\usepackage[unicode,naturalnames]{hyperref}
 
\makeindex
 
\numberwithin{equation}{section}
 
\hypersetup{
  colorlinks = true,
  bookmarksopen = true,
  pdftitle={KVAN02},
  pdfauthor={Antonín Hoskovec, Jan Lochman},
  pdfsubject={Poznámky k přednášce 02KVAN2, FJFI ČVUT},
  pdfkeywords={kvantová mechanika, fyzika},
  bookmarksnumbered=true,
  colorlinks=true,
  pdfpagemode={UseOutlines}
}
 
%------------ BRAKETY
\newcommand{\ket}[1]{| #1 \rangle}
\newcommand{\bra}[1]{\langle #1 |} 
\newcommand{\braket}[2]{\langle #1 | #2 \rangle}
\newcommand{\brapigket}[3]{\langle #1 | #2 | #3 \rangle}
\newcommand{\stredni}[1]{\langle #1 \rangle}
 
\newcommand{\komut}[2]{\left[ #1 , #2 \right]}
\newcommand{\antikomut}[2]{\left\{ #1 , #2 \right\}}
 
\newcommand{\parcder}[2]{\frac{\partial #1}{\partial #2}}
\newcommand{\deriv}[2]{\frac{d #1}{d #2}}
\newcommand{\dif}{\mathrm{d}}
 
\newcommand{\norm}[1]{\left\| #1 \right\|}
\newcommand{\abs}[1]{\left\vert  #1 \right\vert} 
 
\newcommand{\prop}[4]{K \left( #1, #2; #3, #4 \right)}
\newcommand{\tprop}[4]{\tilde{K} \left( #1, #2; #3, #4 \right)}
\newcommand{\propR}[4]{K^{(+)} \left( #1, #2; #3, #4 \right)}
\newcommand{\propA}[4]{K^{(-)} \left( #1, #2; #3, #4 \right)}
\newcommand{\propRA}[4]{K^{(\pm)} \left( #1, #2; #3, #4 \right)}
\newcommand{\tpropRA}[4]{\tilde{K}^{(\pm)} \left( #1, #2; #3, #4 \right)}
\newcommand{\propU}[6]{K_{#1}^{#2} \left( #3, #4; #5, #6 \right)}
\newcommand{\tpropU}[6]{\tilde{K}_{#1}^{#2} \left( #3, #4; #5, #6 \right)}
\newcommand{\ttpropU}[6]{\tilde{\tilde{K}}_{#1}^{#2} \left( #3, #4; #5, #6 \right)}
 
\newcommand{\kreak}[1]{\mathop{\hat{a}^\dagger_{#1}}\nolimits}
\newcommand{\anihilak}[1]{\hat{a}_{#1}}
\newcommand{\Kreak}[1]{\hat{A}^\dagger_{#1}}
\newcommand{\Anihilak}[1]{\hat{A}_{#1}}
\newcommand{\bkreak}[1]{\mathop{\hat{b}^\dagger_{#1}}\nolimits}
\newcommand{\banihilak}[1]{\hat{b}_{#1}}
 
\newcommand{\obal}[1]{\mathrm{span}\left\lbrace #1 \right\rbrace}
 
%------------ OPERÁTORY APOD.
 
\newcommand{\const}{\mathord{\mathrm{const}}}
 
\newcommand{\Tr}{\mathop{\mathrm{Tr}}\nolimits}
 
\newcommand{\Ai}{\mathop{\mathrm{Ai}}\nolimits}
\newcommand{\Bi}{\mathop{\mathrm{Bi}}\nolimits}
 
%------------ ZPŮSOBY ZOBRAZENÍ
\newcommand{\D}{\displaystyle}
\newcommand{\T}{\textstyle}
 
 
%------------ CASTO UZIVANA CISLA
\newcommand{\pul}[0]{\frac{1}{2}} 
 
 
%------------ SPECIALNI SYMBOLY
\newcommand{\opone}[0]{\mathbb{1}}   % jednotkovyoperator
\newcommand{\priroz}[0]{\mathbb{N}}  % prirozeny cisla
\newcommand{\cela}[0]{\mathbb{Z}}  % cely cisla
\newcommand{\real}[0]{\mathbb{R}}
\newcommand{\komplex}[0]{\mathbb{C}}
\newcommand{\nulvek}[0]{\mathbb{O}}  % nulovy vektor
\newcommand{\hilbert}[0]{\mathscr{H}}
\newcommand{\fock}[0]{\mathscr{F}}
\newcommand{\tenzop}[0]{\mathbb{T}}
 
%------------- CASTI DOKUMENTU
\theoremstyle{definition}
\newtheorem{define}{Definice}[section]
\newtheorem{theorem}[define]{Věta}
\newtheorem{lemma}[define]{Lemma}
\newtheorem*{dusl}{Důsledek}
 
\theoremstyle{remark}
\newtheorem*{remark}{Poznámka}
\newtheorem*{example}{Příklad}
 
\renewcommand{\proofname}{Důkaz}
 
% Trik pro pěkné římské číslice
 
\makeatletter
\def\rimske#1{{\ensuremath{\@rimske#1\relax}}}
\def\@rimske#1#2{#1\ifx#2\relax\let\rimske@next=\relax\else\!\let\rimske@next=\@rimske\fi\rimske@next#2}
\makeatother