-
Notifications
You must be signed in to change notification settings - Fork 6
Expand file tree
/
Copy pathbufftex.tex
More file actions
158 lines (148 loc) · 5.54 KB
/
Copy pathbufftex.tex
File metadata and controls
158 lines (148 loc) · 5.54 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
\usepackage[english]{babel}
\usepackage{graphicx}
\usepackage{color}
\usepackage{dsfont}
\usepackage{bbm}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{float}
\usepackage{psfrag}
\usepackage{mathdots}
%\usepackage{algorithm}
%\usepackage{algorithmic}
\usepackage{listings}
\usepackage{fancybox}
\usepackage{fancyvrb}
\usepackage{arydshln}
\usepackage{verbatim}
%--------------------------------------------------
%- primed variables
%--------------------------------------------------
\newcommand\kp{k^\prime}
\newcommand\rp{r^\prime}
\newcommand\kk{k^\prime}
%--------------------------------------------------
%- boldface greek letters
%--------------------------------------------------
\newcommand\vbphi{\mathbf{\phi}}
\newcommand\vbPhi{\mathbf{\Phi}}
\newcommand{\vbDelta}{\boldsymbol{\Delta}}
\newcommand{\vbLambda}{\boldsymbol{\Lambda}}
\newcommand{\vbGamma}{\boldsymbol{\Gamma}}
\newcommand\vbtheta{\vec{\theta}}
\newcommand\vbbeta{\vec{\beta}}
\newcommand\vbsigma{\vec{\sigma}}
\newcommand{\vbrho}{\boldsymbol{\rho}}
\newcommand\bsigma{\overline{\sigma}}
%--------------------------------------------------
%- field theory stuff
%--------------------------------------------------
\newcommand\ub{\overline{u}}
\newcommand\ubar{\overline{u}}
\newcommand\vbar{\overline{v}}
\newcommand\psibar{\overline{\psi}}
\newcommand\ps{\FMSlash{p}}
\newcommand\ks{\FMSlash{k}}
\newcommand\qs{\FMSlash{q}}
\newcommand\ls{\FMSlash{l}}
\newcommand\ds{\FMSlash{\partial}}
\newcommand\pps{\FMSlash{p}^\prime}
\newcommand\kps{\FMSlash{k}^\prime}
\newcommand\MM{\mathcal{M}}
\newcommand\btu{\bigtriangleup}
%--------------------------------------------------
%- colors -----------------------------------------
%--------------------------------------------------
\newcommand{\red}[1]{\textcolor{red}{#1}}
\newcommand{\blue}[1]{\textcolor{blue}{#1}}
\newcommand{\green}[1]{\textcolor{green}{#1}}
\newcommand{\atan}{\text{atan}}
\definecolor{cyan}{rgb}{0.0,1.00,1.00}
%\newcommand{\cyan}[1]{\textcolor{cyan}{#1}}
\definecolor{lightblue}{rgb}{0.0,0.00,0.75}
\newcommand{\lightblue}[1]{\textcolor{lightblue}{#1}}
%--------------------------------------------------
% general commands
%--------------------------------------------------
\newcommand{\ccdot}{\, \cdot \,}
\newcommand{\eps}{\epsilon}
\newcommand{\ez}{\epsilon_0}
\newcommand{\unit}[1]{\, \hbox{#1} \, }
\newcommand{\qtext}[1]{\quad \hbox{#1} \quad }
\newcommand{\curl}[0]{\nabla \times \vb}
\newcommand{\divv}[0]{\nabla \cdot \vb}
\newcommand{\uv}[1]{\vb{\hat{#1}}}
\newcommand{\lab}{<\!}
\newcommand{\rab}{\!>}
\newcommand{\bra}[1]{\left<#1\right|}
\newcommand{\ket}[1]{\left|#1\right>}
\newcommand{\ketb}[1]{\big|#1\big>}
\newcommand{\ketB}[1]{\Big|#1\Big>}
\newcommand{\inp}[2]{\left<#1\right|\left.#2\right>}
\newcommand{\Inp}[2]{\big<#1\big|\big.#2\big>}
\newcommand{\INP}[2]{\Big<#1\Big|\Big.#2\Big>}
\newcommand{\Inpb}[2]{\big<#1\big|\big.#2\big>}
\newcommand{\inpB}[2]{\Big<#1\Big|\Big.#2\Big>}
\newcommand{\inpv}[2]{\left<\vp #1\right|\left.#2\right>}
\newcommand{\expval}[1]{\left< #1 \right>}
\newcommand{\expvalv}[1]{\left<\vp #1 \right>}
\newcommand{\exptwo}[3]{\left<#1\right|#2\left|#3\right>}
\newcommand{\ExpTwo}[3]{\big<#1\big|#2\big|#3\big>}
\newcommand{\EXPTWO}[3]{\Big<#1\Big|#2\Big|#3\Big>}
\newcommand{\exptwob}[3]{\big<#1\big|#2\big|#3\big>}
\newcommand{\exptwoB}[3]{\Big<#1\Big|#2\Big|#3\Big>}
\newcommand{\exptwov}[3]{\left<\vp#1\right|#2\left|\vp#3\right>}
\newcommand{\exptwoi}[3]{\left<\vi#1\right|#2\left|\vi#3\right>}
\newcommand{\union}{\cup}
\newcommand\unitmatrix{\mathds{1}}
\newcommand\Tr{\hbox{Tr }}
\newcommand\tbtm[4]{\left(\begin{array}{ll}#1 & #2 \\ #3 & #4\end{array}\right)}
\newcommand\sups[1]{^{\hbox{\scriptsize{#1}}}}
\newcommand\supt[1]{^{\hbox{\tiny{#1}}}}
\newcommand\subs[1]{_{\hbox{\scriptsize{#1}}}}
\newcommand\subt[1]{_{\hbox{\tiny{#1}}}}
\newcommand{\nn}{\nonumber \\}
\newcommand{\vb}[1]{\mathbf{#1}}
\newcommand{\eq}[1]{\begin{equation} #1 \end{equation}}
\newcommand{\numeq}[2]{\begin{equation} #2 \label{#1} \end{equation}}
\newcommand{\BE}{\begin{equation}}
\newcommand{\EE}{\end{equation}}
\newcommand{\pard}[2]{\frac{\partial #1}{\partial #2}}
\newcommand{\pardn}[3]{\frac{\partial^{#1} #2}{\partial #3^{#1}}}
\newcommand{\pf}[2]{\left(\frac{#1}{#2}\right)}
\newcommand{\vp}{\vphantom\sum}
\newcommand{\vi}{\vphantom{\sum_{-\infty^\infty}}}
\newcommand{\evalat}[2]{\left. #1 \right|_{#2}}
\newcommand{\evalatl}[2]{\left| #1 \right|_{#2}}
\newcommand{\pp}{{\prime\prime}}
\newcommand{\vbhat}[1]{\vb{\hat #1}}
\newcommand{\vbhatt}[1]{\boldsymbol{\widehat #1}}
\newcommand{\wh}{\widehat}
\newcommand{\mc}[1]{\mathcal{#1}}
\newcommand{\bmc}[1]{\boldsymbol{\mathcal{#1}}}
\newcommand{\mb}[1]{\mathbb{#1}}
\newcommand{\primedsum}{\sideset{}{'}{\sum}}
\graphicspath{{figures/}}
\definecolor{shadecolor}{rgb}{0.85,0.85,0.85}
%--------------------------------------------------
%-- \text with a built-in font size specifier
%--------------------------------------------------
\newcommand\ts[1]{\text{\scriptsize{#1}}}
\newcommand\ty[1]{\text{\tiny{#1}}}
\newcommand{\prob}[3]{\section*{Problem #1}}
%--------------------------------------------------
%- shaded verbatim for code inclusions
%--------------------------------------------------
\definecolor{lightgrey}{rgb}{0.75,0.75,0.75}
\newenvironment{verbcode}{\VerbatimEnvironment%
\noindent
% {\columnwidth-\leftmargin-\rightmargin-2\fboxsep-2\fboxrule-4pt}
\begin{Sbox}
\begin{minipage}{\linewidth-2\fboxsep-2\fboxrule-4pt}
\begin{Verbatim}
}{%
\end{Verbatim}
\end{minipage}
\end{Sbox}
\fcolorbox{black}{lightgrey}{\textcolor{black}{\TheSbox}}
}