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cbauer |
1.1 |
/** @file clifford.h
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*
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cbauer |
1.22 |
* Interface to GiNaC's clifford algebra (Dirac gamma) objects. */
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cbauer |
1.4 |
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/*
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kreckel |
1.14 |
* GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
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cbauer |
1.2 |
*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*/
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cbauer |
1.1 |
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cbauer |
1.2 |
#ifndef __GINAC_CLIFFORD_H__
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#define __GINAC_CLIFFORD_H__
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cbauer |
1.1 |
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cbauer |
1.22 |
#include "indexed.h"
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#include "tensor.h"
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cbauer |
1.5 |
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namespace GiNaC {
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cbauer |
1.1 |
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cbauer |
1.15 |
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/** This class holds an object representing an element of the Clifford
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* algebra (the Dirac gamma matrices). These objects only carry Lorentz
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cbauer |
1.22 |
* indices. Spinor indices are hidden. */
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class clifford : public indexed
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cbauer |
1.1 |
{
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cbauer |
1.22 |
GINAC_DECLARE_REGISTERED_CLASS(clifford, indexed)
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cbauer |
1.15 |
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cbauer |
1.12 |
// other constructors
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cbauer |
1.1 |
public:
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cbauer |
1.22 |
clifford(const ex & b, const ex & mu);
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// internal constructors
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clifford(const exvector & v, bool discardable = false);
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clifford(exvector * vp); // vp will be deleted
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cbauer |
1.1 |
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cbauer |
1.12 |
// functions overriding virtual functions from base classes
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cbauer |
1.1 |
protected:
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cbauer |
1.12 |
ex simplify_ncmul(const exvector & v) const;
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cbauer |
1.15 |
ex thisexprseq(const exvector & v) const;
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ex thisexprseq(exvector * vp) const;
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cbauer |
1.22 |
unsigned return_type(void) const { return return_types::noncommutative; }
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unsigned return_type_tinfo(void) const { return TINFO_clifford; }
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};
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cbauer |
1.1 |
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cbauer |
1.22 |
/** This class represents the Dirac gamma Lorentz vector. */
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class diracgamma : public tensor
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{
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GINAC_DECLARE_REGISTERED_CLASS(diracgamma, tensor)
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cbauer |
1.1 |
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cbauer |
1.22 |
// functions overriding virtual functions from bases classes
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public:
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void print(std::ostream & os, unsigned upper_precedence=0) const;
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cbauer |
1.1 |
};
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cbauer |
1.22 |
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cbauer |
1.15 |
// global functions
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cbauer |
1.5 |
inline const clifford &ex_to_clifford(const ex &e)
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{
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return static_cast<const clifford &>(*e.bp);
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}
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cbauer |
1.15 |
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cbauer |
1.22 |
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/** Create a Dirac gamma object.
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*
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* @param mu Index (must be of class varidx or a derived class)
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* @return newly constructed gamma object */
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ex dirac_gamma(const ex & mu);
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cbauer |
1.1 |
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cbauer |
1.5 |
} // namespace GiNaC
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cbauer |
1.1 |
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cbauer |
1.2 |
#endif // ndef __GINAC_CLIFFORD_H__
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