A Python package for calculating Rydberg wavefunctions.

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  • License Expression: LGPL-3.0-or-later
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  • Author: Rydberg Numerov Developers
  • Maintainer: Johannes Mögerle
  • Tags rydberg , wavefunctions , numerov , quantum physics
  • Requires: Python >=3.9
  • Provides-Extra: tests , docs , benchmark , jupyter , mypy
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Rydberg Numerov

PyPI Package License: LGPL v3 CI Workflow Documentation

The Rydberg Numerov software calculates properties of Rydberg states. We especially focus on the calculation of the radial wavefunction of Rydberg states via the Numerov method. The software can be installed via pip (requires Python >= 3.9):

pip install ryd-numerov

To install the latest development version from github, use:

pip install git+https://github.com/pairinteraction/ryd-numerov

How to Cite

This package relies on quantum defects provided by the community. Consider citing relevant publications for your atomic species.

Click to expand for quantum defect references
Element Model Identifier References
H SQDT H Schrödinger equation for hydrogen
Li SQDT Li 10.1017/CBO9780511524530 (1994)
10.1103/PhysRevA.34.2889 (1986)
Na SQDT Na 10.1088/0953-4075/30/10/009 (1997)
10.1070/QE1995v025n09ABEH000501 (1995)
10.1103/PhysRevA.45.4720 (1992)
K SQDT K 10.1088/0031-8949/27/4/012 (1983)
10.1016/0030-4018(81)90225-X (1981)
Rb SQDT Rb 10.1103/PhysRevA.83.052515 (2011)
10.1103/PhysRevA.74.054502 (2006)
10.1103/PhysRevA.74.062712 (2006)
10.1103/PhysRevA.67.052502 (2003)
Cs SQDT Cs 10.1103/PhysRevA.93.013424 (2016)
10.1103/PhysRevA.35.4650 (1987)
10.1103/PhysRevA.26.2733 (1982)
Sr88 SQDT, singlet sector Sr88 10.1103/PhysRevA.108.022815 (2023)
10.17169/refubium-34581 (2022)
Sr88 SQDT, triplet sector Sr88 10.1016/j.cpc.2020.107814 (2021)

Documentation

User Guide

  • Tutorials - Examples of how to use the Rydberg Numerov library.

  • API Reference - Documentation of classes and functions of the Rydberg Numerov Python library.

Using custom quantum defects

To use custom quantum defects (or quantum defects for a new element), you can simply create a subclass of ryd_numerov.elements.base_element.BaseElement (e.g. class CustomRubidium(BaseElement):) with a custom species name (e.g. species = "Custom_Rb"). Then, similarly to ryd_numerov.elements.rubidium.py you can define the quantum defects (and model potential parameters, ...) for your element. Finally, you can use the custom element by simply calling ryd_numerov.RydbergState("Custom_Rb", n=50, l=0, j_tot=1/2, m=1/2) (the code will look for all subclasses of BaseElement until it finds one with the species name "Custom_Rb").

License

The ryd-numerov software is licensed under LGPL v3. For more information, see LICENSE.txt.

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  • License Expression: LGPL-3.0-or-later
    SPDX License Expression
  • Author: Rydberg Numerov Developers
  • Maintainer: Johannes Mögerle
  • Tags rydberg , wavefunctions , numerov , quantum physics
  • Requires: Python >=3.9
  • Provides-Extra: tests , docs , benchmark , jupyter , mypy
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