WignerMatrix< Real > Class Template Reference

computation of Wigner D matrix + rotation functions in SH,VH and R³ More...

#include <vigra/wigner-matrix.hxx>

Public Member Functions
void	compute_D (int band)
	Compute D with fixed theta = pi/2, phi=0, psi=0. More...
void	compute_D (int l, Real phi, Real theta, Real psi)
	Compute D for arbitrary rotations. More...
Complex	get_D (int l, int n, int m) const
	Get the (n,m) entry of D. More...
Matrix< Complex > const &	get_D (int l) const
	Return the rotation matrix D for the lth band. More...
void	rotatePH (NestedArray const &PH, Real phi, Real theta, Real psi, NestedArray &PHresult)
	Rotate in PH. More...
	WignerMatrix (int l_max)
	constructor More...

Detailed Description

template<class Real>
class vigra::WignerMatrix< Real >

computation of Wigner D matrix + rotation functions in SH,VH and R³

All rotations in Euler zyz' convention

WARNING: not thread safe! use a new instance of WignerMatrix for each thread!!!

Constructor & Destructor Documentation

WignerMatrix

(

int

l_max

)

constructor

Parameters

l_max

maximum expansion band (used to pre-compute the D matrix)

Member Function Documentation

void compute_D

(

int

band

)

Compute D with fixed theta = pi/2, phi=0, psi=0.

Parameters

band	expansion band

FIXME: compute_D(l, 0.0, M_PI / 2.0, 0.0) creates the transposed matrix!

void compute_D	(	int	l,
		Real	phi,
		Real	theta,
		Real	psi
	)

Compute D for arbitrary rotations.

Parameters

l	expansion band
phi	rotation angle
theta	rotation angle
psi	rotation angle

Complex get_D	(	int	l,
		int	n,
		int	m
	)		const

Get the (n,m) entry of D.

Parameters

l	expansion band
n
m

Matrix<Complex> const& get_D

(

int

l

)

const

Return the rotation matrix D for the lth band.

Parameters

l	expansion band

void rotatePH	(	NestedArray const &	PH,
		Real	phi,
		Real	theta,
		Real	psi,
		NestedArray &	PHresult
	)

Rotate in PH.

Parameters

PH	input PH expansion
phi	rotation angle
theta	rotation angle
psi	rotation angle

Return values

PHresult

PH expansion

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The documentation for this class was generated from the following file:

• vigra/wigner-matrix.hxx