+%\newcommand{\bra}[1]{\left\langle #1 \right|}
+%\newcommand{\ket}[1]{\left| #1 \right\rangle}
+%\newcommand{\braket}[2]{\left\langle #1 \mid #2 \right\rangle}
+\newcommand{\bra}[1]{\langle #1 |}
+\newcommand{\ket}[1]{| #1 \rangle}
+\newcommand{\braket}[2]{\langle #1 | #2 \rangle}
+