DiracODE::Internal::CDiracDerivative

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Complex-energy Dirac derivative matrix: dF/du = D(u)*F(u).

Complex-energy analogue of DiracDerivative. Accepts a complex orbital energy en, returning complex matrix elements. See DiracDerivative for the form of D; the only difference here is Y = std::complex<double>.

Note

Non-copyable; stores raw pointers to grid and potential arrays.

#include <ComplexDirac.hpp>

Inheritance diagram for DiracODE::Internal::CDiracDerivative:

Public Member Functions
	CDiracDerivative (const Grid &in_grid, const std::vector< double > &in_v, const int in_k, const std::complex< double > in_en, const double in_alpha, const std::vector< double > &V_off_diag={})
	Constructs the complex Dirac derivative matrix.
std::complex< double >	a (std::size_t i) const final
	D matrix elements (see DiracDerivative for definitions); index i is grid point.
std::complex< double >	b (std::size_t i) const final
std::complex< double >	c (std::size_t i) const final
std::complex< double >	d (std::size_t i) const final
	CDiracDerivative (const CDiracDerivative &)=delete
void	operator= (const CDiracDerivative &)=delete
Public Member Functions inherited from AdamsMoulton::DerivativeMatrix< std::size_t, std::complex< double > >
virtual std::complex< double >	Sf (std::size_t) const
	Sf and Sg are optional inhomogenous terms.
virtual std::complex< double >	Sg (std::size_t) const

Public Attributes
const Grid *const	pgr
const std::vector< double > *const	v
const std::vector< double > *const	Hmag
const double	zion = 1.0
const int	k
const std::complex< double >	en
const double	alpha
const double	cc

Constructor & Destructor Documentation

CDiracDerivative()

DiracODE::Internal::CDiracDerivative::CDiracDerivative	(	const Grid &	in_grid,
		const std::vector< double > &	in_v,
		const int	in_k,
		const std::complex< double >	in_en,
		const double	in_alpha,
		const std::vector< double > &	V_off_diag = {}
	)

Constructs the complex Dirac derivative matrix.

Parameters

in_grid	Radial grid.
in_v	Local potential v(r).
in_k	Orbital kappa quantum number.
in_en	Complex orbital energy.
in_alpha	Fine-structure constant.
V_off_diag	Optional off-diagonal (magnetic) potential. If empty, treated as zero.

Member Function Documentation

a()

std::complex< double > DiracODE::Internal::CDiracDerivative::a ( std::size_t  i ) const

finalvirtual

D matrix elements (see DiracDerivative for definitions); index i is grid point.

Implements AdamsMoulton::DerivativeMatrix< std::size_t, std::complex< double > >.

b()

std::complex< double > DiracODE::Internal::CDiracDerivative::b ( std::size_t  i ) const

finalvirtual

Implements AdamsMoulton::DerivativeMatrix< std::size_t, std::complex< double > >.

c()

std::complex< double > DiracODE::Internal::CDiracDerivative::c ( std::size_t  i ) const

finalvirtual

Implements AdamsMoulton::DerivativeMatrix< std::size_t, std::complex< double > >.

d()

std::complex< double > DiracODE::Internal::CDiracDerivative::d ( std::size_t  i ) const

finalvirtual

Implements AdamsMoulton::DerivativeMatrix< std::size_t, std::complex< double > >.

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The documentation for this struct was generated from the following files:

• DiracODE/ComplexDirac.hpp
• DiracODE/ComplexDirac.cpp