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# Latex bra ket notation

bra-ket notation notation, is used to denote quantum states. How to write bra-ket/braket notation in Latex with braket package: braket , bra and ket.

## Write default Latex bra-ket notation

To write to write bra-ket/braket notation or symbol, we must use bracket package:


\documentclass[12pt]{article}
\usepackage{braket}
\begin{document}

$$\braket{\alpha|\beta}$$
$$\braket{\alpha||\beta}$$
$$\braket{\alpha|T|\beta}$$

\end{document}



which gives:

$$\braket{\alpha|\beta}$$

$$\braket{\alpha||\beta}$$

$$\braket{\alpha|T|\beta}$$

## Write default Latex bra notation

To write to write bra notation or symbol, we must use bracket package:


\documentclass[12pt]{article}
\usepackage{braket}
\begin{document}

$$\bra{\alpha}$$
$$\bra \psi{(t)}$$
$$\bra {\gamma{(t)}}$$

\end{document}



which gives:

$$\bra{\alpha}$$

$$\bra \psi{(t)}$$

$$\bra {\gamma{(t)}}$$

## Write default ket notation

To write to write ket notation or symbol, we must use bracket package:


\documentclass[12pt]{article}
\usepackage{braket}
\begin{document}

$$\ket{\Psi}$$
$$\ket \psi{(t)}$$
$$\ket {\gamma{(t)}}$$

\end{document}



which gives:

$$\ket{\Psi}$$

$$\ket \psi{(t)}$$

$$\ket {\gamma{(t)}}$$

## Example: bra ket notation for Schrödinger’s Equation


\documentclass[12pt]{article}
\usepackage{braket}
\begin{document}

Schrodinger's equation governs the time evolution of quantum states. It says that the time dependence of a state $\ket{\psi}$ is given by

$$\hat H \ket{\psi} = i\hbar \frac{\partial{}}{\partial t} \ket{\psi}$$

where $\hat H$ is the Hamiltonian of the system.

\end{document}



Schrodinger’s equation governs the time evolution of quantum states. It says that the time dependence of a state $\ket{\psi}$ is given by

$$\hat H \ket{\psi} = i\hbar \frac{\partial{}}{\partial t} \ket{\psi}$$

where $\hat H$ is the Hamiltonian of the system.