MandysNotes

Monday, 15 September 2014 00:00

Vectors in Latex

By  Gideon
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The basic vector command in Latex is

\( \vec{v}    :=   \)      \vec{v} 

You can also use the command \overrightarrow

\( \overrightarrow{v}  := \) \overrightarrow{v}

This is useful for long expressions such as:

 \( \overrightarrow{\alpha (V \cdot \hat{B}) B}  := \) \overrightarrow{\alpha (V \cdot \hat{B}) B}

 

 The \overleftarrow command is useful for making vectors with arrows that point to the left: 

\( \overleftarrow{A} :=  \)   \overleftarrow{A}

 

The \overleftrightarrow command creates vectors with arrows that point in both directions. 

 

This is useful for writing, for example, the probability current in Dirac theory:

\( \overleftrightarrow{\partial}:= \)  \overleftrightarrow{\partial}

 

To make the Dirac vectors, bras and kets, used in quantum theory, you need to define commands in the pramble of your Latex document.

\newcommand{\ket}[1]{\ensuremath{\left|#1\right\rangle}} % Dirac Kets

\newcommand{\bra}[1]{\ensuremath{\left\langle #1 \right|}} % Dirac Bras

\newcommand{\braket}[2]{\ensuremath{\left\langle #1 | #2 \right\rangle}} % Dirac Braket

For example, the code below:

 

 \text{Dirac bra vector: } \bra{A} 

 \text{Dirac ket vector: } \ket{A}

 \text{Dirac Bracket: } \braket{A}{A}

 

will display as:

 DiracBraket

 

 

Read 2591 times Last modified on Monday, 15 September 2014 15:53
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