# {py:mod}`abtem.magnetism.pauli`

```{py:module} abtem.magnetism.pauli
```

```{autodoc2-docstring} abtem.magnetism.pauli
:parser: rst
:allowtitles:
```

## Module Contents

### Functions

````{list-table}
:class: autosummary longtable
:align: left

* - {py:obj}`apply_A_xy_dot_nabla_xy <abtem.magnetism.pauli.apply_A_xy_dot_nabla_xy>`
  - ```{autodoc2-docstring} abtem.magnetism.pauli.apply_A_xy_dot_nabla_xy
    :parser: rst
    :summary:
    ```
* - {py:obj}`central_difference_gradient_cbc <abtem.magnetism.pauli.central_difference_gradient_cbc>`
  - ```{autodoc2-docstring} abtem.magnetism.pauli.central_difference_gradient_cbc
    :parser: rst
    :summary:
    ```
* - {py:obj}`central_difference_gradient_pbc <abtem.magnetism.pauli.central_difference_gradient_pbc>`
  - ```{autodoc2-docstring} abtem.magnetism.pauli.central_difference_gradient_pbc
    :parser: rst
    :summary:
    ```
````

### API

````{py:function} apply_A_xy_dot_nabla_xy(...)
:canonical: abtem.magnetism.pauli.apply_A_xy_dot_nabla_xy

```{autodoc2-docstring} abtem.magnetism.pauli.apply_A_xy_dot_nabla_xy
:parser: rst
```
````

````{py:function} central_difference_gradient_cbc(...)
:canonical: abtem.magnetism.pauli.central_difference_gradient_cbc

```{autodoc2-docstring} abtem.magnetism.pauli.central_difference_gradient_cbc
:parser: rst
```
````

````{py:function} central_difference_gradient_pbc(...)
:canonical: abtem.magnetism.pauli.central_difference_gradient_pbc

```{autodoc2-docstring} abtem.magnetism.pauli.central_difference_gradient_pbc
:parser: rst
```
````