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Mar 16, 2022
Baumeister, 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, V1
The 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.
Unknown - 2.8 KB - SHA-256: 9b44ad5bc176a2e49ef93ae818f8548e65c5a2d7d300022093930cb65af10ae4
Code
C++ header for polynomial coefficients of CHO radial functions
C++ Source - 16.1 KB - SHA-256: 34b16ff1f8ba6226ba29c6a3d51bf7ebff1e68b5be84ac48d334e3d890d9fbca
Code
generator code (C++11)
Fixed Field Text Data - 59.2 KB - SHA-256: 5089af84a601028b4233b74b86ae62bd8f73250fb7b24f539cefa6a7a7173129
Data
integer coefficients for non-zero matrix elements up to \nu = 23
Unknown - 7.3 KB - SHA-256: c65f650a30418831d6bc5a18aecb90f2a913f9543783fd397be9caf2aa1c3f8d
Code
C++ header for reading cho_unitary.dat
Adobe PDF - 157.9 KB - SHA-256: c25c4b729b19b4c49e6f1b1b5c7f273f78db453ae3864b2a06a3b4e093900cdc
Documentation
theory document
LaTeX - 8.4 KB - SHA-256: 16e370f617e2a870562e01921ba2046844d22b596f9be4a18c7f49b5f3a73931
theory document source
May 4, 2021
Baumeister, Paul F., 2021, "Unitary Transform between Radial and Cartesian Representation of the Spherical Harmonic Oscillator Basis", https://doi.org/10.26165/JUELICH-DATA/MWHIW5, Jülich DATA, V1
The spherical harmonic oscillator is one of the most basic quantum mechanical problems with known analytical solutions in two representations: Radial and Cartesian. This data file provides the coefficient of the unitary transformation connecting the two representations.
Fixed Field Text Data - 53.0 KB - SHA-256: 7790979cf69bcb4f2244044b59e80ef1c66f2c62960f44f208de4908a55e8adf
integer coefficients for non-zero matrix elements up to \nu = 9
Unknown - 39.1 KB - SHA-256: a8266960a3590f57ce52ecb8e89c7b1dc5a6dfeb024bcb6e5aafae7e3d7bd1d0
generator code (Fortran 90)
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