% Style File Shortcuts for the Thesis/Research % Cumulative author index: J.P. Day and J.E. McEwen. %Packages that need to be loaded for desired math output \usepackage{mathrsfs} \usepackage{amsmath} \usepackage{amssymb} \usepackage{dsfont} % Dirac bra-ket notation \def\bra#1{\mathinner{\langle{#1}|}} %\bra \def\ket#1{\mathinner{|{#1}\rangle}} %\ket %\def\exp#1{\langle{#1}\rangle} %\exp expectation value \newcommand{\braket}[2]{\langle #1|#2\rangle} %\braket Ex: \braket{\Psi}{\Gamma} \def\Bra#1{\left<#1\right|} \def\Ket#1{\left|#1\right>} %Feynman Slash \def\slash#1{ \displaystyle{\not}#1} %Hilbert space curly H \def\Hil#1{$\mathscr{H}$ } %Matrix Shortcuts ex: \mat{a&b \\ c&d} \newcommand{\mat}[2][ccccccccccccccccccccccccccccccccc]{\left ( \begin{array}{#1} #2\\ \end{array} \right )} %Deteminant shortcut ex: \det{a&b \\ c&d} \newcommand{\Det}[2][rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr]{\left | \begin{array}{#1} #2\\ \end{array} \right |} %Equation short cuts \def\neq#1{ $${#1}$$ % Centered Numbered equation \neq{ } } \def\eq#1{ \begin{equation*}$${#1}$$\end{equation*} % Centered Non-Numbered equation \eq{ } } \def\qed{ \begin{flushright} $\blacksquare$ \end{flushright} } %Written shortcuts for fancy words \def\Mo{M\o ller } %Moller with proper o slash \def\Sch{Schr\"{o}dinger } %Schrodinger word \def\Scheq{H\Psi=E\Psi} %Schrodinger equation \def\Go{(z-H_o)^{-1}} %Green's operator zero \def\G{(z-H)^{-1}} %Green's operator \def\CS{Coulomb-Sturmian } %Often used pain to type Coulomb-Sturmian \def\CSb{Coulomb-Sturmian basis } % Often used pain to type Coulomb-Sturmian basis \def\Hil{$\mathscr{H}$ } %Curly H for Hilbert space