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        "author": "Toon Baeyens",
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        "description": "# PySlise 0.0.4\n\nPySlise is a collection of algorithms to solve the one and two dimensional time-independent Schr\u00f6dinger equations. These algorithms are based upon constant perturbation methods to efficiently solve these eigenvalue problems.\n\nThe code (and name) is based on Matslise [1]. This is a feature-rich matlab library for solving the one dimensional time independent Schr\u00f6dinger equation.\n\nTo solve the two dimensional problem an algorithm is developed on the basis of a method proposed by Ixaru [2].\n\nThis implementation is developed in C++ with a focus on efficiency. This code is precompiled for 64 bit windows and linux and packaged in wheels.\n\n\n## Documentation\n\nFull documentation can be found on \n[matslise.ugent.be](https://matslise.ugent.be/). This document contains some examples of how to use this library.\n\nOn the same page an interactive version is available.\n\n## Examples\n\nOne dimensional problems can be tackled with:\n```python\nfrom pyslise import PySlise\nfrom math import pi, cos\n\nproblem = PySlise(lambda x: 2*cos(2*x), 0, pi, tolerance=1e-5)\nproblem.eigenvaluesByIndex(0, 10, (0, 1), (0, 1))\n```\n\nAlso two dimensional problems are possible:\n```python\nfrom pyslise import PySE2d\n\ndef V(x, y):\n    return (1 + x**2) * (1 + y**2)\n\nproblem = PySE2d(V, -5.5,5.5, -5.5,5.5, tolerance=1e-5)\nproblem.eigenvalues(0,13)\n```\n\n## Bibliography\n* **[1]** Ledoux, Veerle, and Marnix Van Daele. \u201cMATSLISE 2.0\u202f: A Matlab Toolbox for Sturm-Liouville Computations.\u201d ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 42, no. 4 (2016): 18.\n* **[2]** Ixaru, L. Gr. \u201cNew Numerical Method for the Eigenvalue Problem of the 2D Schr\u00f6dinger Equation.\u201d Computer Physics Communications 181 (October 1, 2010): 1738\u201342. https://doi.org/10.1016/j.cpc.2010.06.031.\n\n\n",
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        "name": "pyslise",
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