A Mathematica program for the calculation of five-body Moshinsky brackets

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• 作者：Shuyuan Xiao^a ; ^b ; Xueli Mu^a ; Tingting Liu^c ; Hong Chen^a ; ^{chenh@swu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Mathematical methods in physics ; Harmonic oscillator model ; Five-body systems ; Moshinsky brackets
• 刊名：Computer Physics Communications
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：203
• 期：Complete
• 页码：238-244
• 全文大小：1290 K

文摘

Five-body Moshinsky brackets that relate harmonic oscillator wavefunctions in two different sets of Jacobi coordinates make it straightforward to calculate some matrix elements in the variational calculations of five-body systems. The analytical expression of these transformation coefficients and the computer code written in the Mathematica language are presented here for accurate calculations.

Program summary

Program title: FBMB

Catalogue identifier: AEZT_v1_0

Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEZT_v1_0.html

Program obtainable from: CPC Program Library, Queen’s University, Belfast, N. Ireland

Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html

No. of lines in distributed program, including test data, etc.: 15635

No. of bytes in distributed program, including test data, etc.: 1498331

Distribution format: tar.gz

Programming language: Mathematica.

Computer: All computers running Mathematica.

Operating system: Operating systems running Mathematica.

RAM: 20265384 bytes

Classification: 17.17.

Nature of problem: The calculation of five-body Moshinsky brackets

Solution method: The method is based on the explicit expressions of five-body Moshinsky brackets presented in [1]

Unusual features: The possibility of calculating five-body Moshinsky brackets

Running time: Less than one second for a single five-body Moshinsky bracket

References:

[1] Shuyuan Xiao, Xueli Mu, Zhixuan Deng, Hong Chen, Journal of Mathematical Physics 56, 042102 (2015)