Unitary Transform between Radial and Cartesian Representation of the Circular Harmonic Oscillator Basisdoi:10.26165/JUELICH-DATA/WDRGAXJülich DATA2022-03-161Baumeister, Paul F., 2022, "Unitary Transform between Radial and Cartesian Representation of the Circular Harmonic Oscillator Basis", https://doi.org/10.26165/JUELICH-DATA/WDRGAX, Jülich DATA, V1Unitary Transform between Radial and Cartesian Representation of the Circular Harmonic Oscillator Basisdoi:10.26165/JUELICH-DATA/WDRGAXBaumeister, Paul F.Jülich DATABaumeister, Paul F.Baumeister, Paul F.2022-03-08Astronomy and AstrophysicsComputer and Information ScienceMathematical SciencesPhysicscircular harmonic oscillatorThe circular harmonic oscillator is one of the most basic quantum mechanical problems with known analytical solutions in two representations: Radial and Cartesian. This data set provides the coefficients of the unitary transformation connecting the two representations.The matrix elements are limited at \nu = 23, however the generator code is includedCC0 Waiver10.1145/3324989.3325717@inproceedings{10.1145/3324989.3325717, author = {Baumeister, Paul F. and Tsukamoto, Shigeru}, title = {Analytical PAW Projector Functions for Reduced Bandwidth Requirements}, year = {2019}, isbn = {9781450367707}, publisher = {Association for Computing Machinery}, address = {New York, NY, USA}, url = {https://doi.org/10.1145/3324989.3325717}, doi = {10.1145/3324989.3325717}, articleno = {7}, numpages = {11}, location = {Zurich, Switzerland}, series = {PASC '19} } doi: 10.1145/3324989.3325717cho_radial.hxxC++ header for polynomial coefficients of CHO radial functionsapplication/octet-streamcho_unitary.cxxgenerator code (C++11)text/x-ccho_unitary.datinteger coefficients for non-zero matrix elements up to \nu = 23text/x-fixed-fieldcho_unitary.hxxC++ header for reading cho_unitary.datapplication/octet-streamcho_unitary.pdftheory documentapplication/pdfcho_unitary.textheory document sourceapplication/x-tex