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Version](https://img.shields.io/conda/vn/conda-forge/pytalises?color=blue\u0026label=conda-forge)](https://anaconda.org/conda-forge/pytalises)\n[![Build Status](https://travis-ci.com/savowe/pytalises.svg?token=nZF2LbDmAxqpxqs5m7HE\u0026branch=master)](https://travis-ci.com/savowe/pytalises)\n[![Documentation Status](https://readthedocs.org/projects/pytalises/badge/?version=latest)](https://pytalises.readthedocs.io/en/latest/?badge=latest)\n\n![additional_examples_54_0](https://user-images.githubusercontent.com/38558793/119370320-713f2c00-bcb5-11eb-94e5-cc801abcd7d8.png)\n\n# pyTALISES\n\n**pyTALISES** (This Ain't a LInear Schrödinger Equation Solver) is an easy-to-use Python implementation of the Split-Step Fourier Method, for numeric calculation of a wave function's time-propagation under the Schrödinger equation.\n\n### Features\n- Calculation of a wavefunction's time propagation under a (non)linear Schrödinger equation: ![](https://latex.codecogs.com/png.latex?%5Cdpi%7B120%7D%20i%5Chbar%20%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial%20t%7D%20%5CPsi%20%28%5Cvec%7Br%7D%2C%20t%29%20%3D%20%5CBig%5BV%28%5CPsi%2C%5Cvec%7Br%7D%2C%20t%29%20\u0026plus;%20%5Cfrac%7B%5Chbar%5E2%7D%7B2m%7D%5Cnabla%5E2%20%5CBig%5D%20%5CPsi%20%28%5Cvec%7Br%7D%2C%20t%29)\n- the wave-function ![](https://latex.codecogs.com/gif.latex?%5Cdpi%7B100%7D%20%5CPsi) may include an arbitrary number of internal and external degrees of freedom\n- simple implementation of Hamiltonians\n- speed of the [FFTW](https://pypi.org/project/pyFFTW/), [BLAS](https://www.netlib.org/blas/) and [numexpr](https://numexpr.readthedocs.io/en/latest/) libaries with multithreading\n- crucial functions are just-in-time compiled with [numba](https://numba.readthedocs.io/en/stable/)\n\n### Documentation\nRead the [documentation](https://pytalises.readthedocs.io/en/latest/) to learn more about pytalises' capabilities.\nThe documentation features many examples, among others\n[2D harmonic potentials](https://pytalises.readthedocs.io/en/latest/examples.html#2D-harmonic-potential), \n[BEC scattering](https://pytalises.readthedocs.io/en/latest/examples.html#Nonlinear-interactions-between-internal-states), \n[three-level Raman transitions](https://pytalises.readthedocs.io/en/latest/additional_examples.html#Three-level-Raman-transitions), \n[single-Bragg diffraction](https://pytalises.readthedocs.io/en/latest/additional_examples.html#Single-Bragg-diffraction) \nand\n[atom interferometry](https://pytalises.readthedocs.io/en/latest/additional_examples.html#Light-pulse-atom-interferometry-with-single-Bragg-diffraction).\n\n\n\nInstalling pytalises\n====================\n**We recommend installing pytalises via conda**\n\n_Note from 2020/11/27_: the new Python 3.9 release is currently not supported by the numba libary. [They plan to implement a working version early 2021](https://github.com/numba/numba/issues/6345#issuecomment-738696458). So long just use Python 3.6-3.8 with pytalises.\n\n#### Using conda\n\nInstalling `pytalises` from the `conda-forge` channel can be achieved by adding `conda-forge` to your channels with:\n\n```\nconda config --add channels conda-forge\n```\n\nOnce the `conda-forge` channel has been enabled, `pytalises` can be installed with:\n\n```\nconda install pytalises=0.2.7\n```\n\n\n#### Using pip\n\npytalises is available on the Python Package Index and can be installed via\n\n```\npip install pytalises==0.2.7\n```\n\nit has dependencies via `scipy` and `numba` on BLAS and LAPACK libraries that are not always found on windows systems. 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