Programs in Physics & Physical Chemistry
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|Manuscript Title: Spinors: a Mathematica package for doing spinor calculus in General Relativity|
|Authors: Alfonso García-Parrado Gómez-Lobo, José M. Martín-García|
|Program title: Spinors|
|Catalogue identifier: AEMQ_v1_0|
Distribution format: tar.gz
|Journal reference: Comput. Phys. Commun. 183(2012)2214|
|Programming language: Mathematica.|
|Computer: Any computer running Mathematica 7.0 or higher.|
|Operating system: Any operating system compatible with Mathematica 7.0 or higher.|
|RAM: 94Mb in Mathematica 8.0.|
|Keywords: General Relativity, Spinor calculus.|
|PACS: 04.20.-q, 02.40.-k, 04.20.Gz.|
External routines: Mathematica packages xCore, xPerm and xTensor which are part of the xAct system. These can be obtained at http://www.xact.es.
Nature of problem:
Manipulation and simplification of spinor expressions in General Relativity.
Adaptation of the tensor functionality of the xAct system for the specific situation of spinor calculus in four dimensional Lorentzian geometry.
The software only works on 4-dimensional Lorentzian space-times with metric of signature (1, -1, -1, -1). There is no direct support for Dirac spinors.
Easy rules to transform tensor expressions into spinor ones and back. Seamless integration of abstract index manipulation of spinor expressions with component computations.
Under one second to handle and canonicalize standard spinorial expressions with a few dozen indices. (These expressions arise naturally in the transformation of a spinor expression into a tensor one or vice-versa).
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