Unitary Transform between Radial and Cartesian Representation of the Circular Harmonic Oscillator Basis (ICPSR doi:10.26165/JUELICH-DATA/WDRGAX)

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Part 2: Study Description
Part 5: Other Study-Related Materials
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Document Description

Citation

Title:

Unitary Transform between Radial and Cartesian Representation of the Circular Harmonic Oscillator Basis

Identification Number:

doi:10.26165/JUELICH-DATA/WDRGAX

Distributor:

Jülich DATA

Date of Distribution:

2022-03-16

Version:

1

Bibliographic Citation:

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

Study Description

Citation

Title:

Unitary Transform between Radial and Cartesian Representation of the Circular Harmonic Oscillator Basis

Identification Number:

doi:10.26165/JUELICH-DATA/WDRGAX

Authoring Entity:

Baumeister, Paul F. (Jülich Supercomputing Centre)

Distributor:

Jülich DATA

Access Authority:

Baumeister, Paul F.

Depositor:

Baumeister, Paul F.

Date of Deposit:

2022-03-08

Study Scope

Keywords:

Astronomy and Astrophysics, Computer and Information Science, Mathematical Sciences, Physics, circular harmonic oscillator

Abstract:

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.

Notes:

The matrix elements are limited at \nu = 23, however the generator code is included

Methodology and Processing

Sources Statement

Data Access

Notes:

CC0 Waiver

Other Study Description Materials

Related Publications

Citation

Identification Number:

10.1145/3324989.3325717

Bibliographic Citation:

@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: 10.1145/3324989.3325717

Other Study-Related Materials

Label:

cho_radial.hxx

Text:

C++ header for polynomial coefficients of CHO radial functions

Notes:

application/octet-stream

Other Study-Related Materials

Label:

cho_unitary.cxx

Text:

generator code (C++11)

Notes:

text/x-c

Other Study-Related Materials

Label:

cho_unitary.dat

Text:

integer coefficients for non-zero matrix elements up to \nu = 23

Notes:

text/x-fixed-field

Other Study-Related Materials

Label:

cho_unitary.hxx

Text:

C++ header for reading cho_unitary.dat

Notes:

application/octet-stream

Other Study-Related Materials

Label:

cho_unitary.pdf

Text:

theory document

Notes:

application/pdf

Other Study-Related Materials

Label:

cho_unitary.tex

Text:

theory document source

Notes:

application/x-tex