SpinMatrix Class Reference

Description

Definition at line 23 of file SpinMatrix.h.

Public Member Functions
	SpinMatrix ()
	Contructs the null matrix. More...
	SpinMatrix (complex_t a_, complex_t b_, complex_t c_, complex_t d_)
	Constructs matrix with rows (a_,b_) and (c_,d_). More...
SpinMatrix	adjoint () const
bool	allFinite () const
Spinor	col0 () const
Spinor	col1 () const
complex_t	determinant () const
SpinMatrix	operator* (complex_t) const
SpinMatrix	operator* (const SpinMatrix &) const
Spinor	operator* (const Spinor &) const
SpinMatrix	operator* (double) const
SpinMatrix	operator*= (complex_t)
SpinMatrix	operator*= (const SpinMatrix &)
SpinMatrix	operator*= (double)
SpinMatrix	operator+ (const SpinMatrix &) const
SpinMatrix	operator+= (const SpinMatrix &)
SpinMatrix	operator- () const
SpinMatrix	operator- (const SpinMatrix &) const
SpinMatrix	operator/ (complex_t) const
SpinMatrix	operator/ (double) const
SpinMatrix	operator/= (complex_t)
SpinMatrix	operator/= (double)
complex_t	trace () const

Static Public Member Functions
static SpinMatrix	Diag (complex_t a_, complex_t d_)
static SpinMatrix	FromBlochVector (const R3 &v)
	Constructs matrix (I+v*s)/2, where s is the Pauli vector. More...
static SpinMatrix	One ()

Public Attributes
complex_t	a
complex_t	b
complex_t	c
complex_t	d

Constructor & Destructor Documentation

SpinMatrix() [1/2]

SpinMatrix::SpinMatrix	(	complex_t	a_,
		complex_t	b_,
		complex_t	c_,
		complex_t	d_
	)

Constructs matrix with rows (a_,b_) and (c_,d_).

Definition at line 18 of file SpinMatrix.cpp.

    : a(a_)
    , b(b_)
    , c(c_)
    , d(d_)
{
}

SpinMatrix() [2/2]

SpinMatrix::SpinMatrix

(

)

Contructs the null matrix.

Definition at line 26 of file SpinMatrix.cpp.

    : SpinMatrix(0, 0, 0, 0)
{
}

Member Function Documentation

adjoint()

SpinMatrix SpinMatrix::adjoint

(

)

const

Definition at line 180 of file SpinMatrix.cpp.

{
    return {conj(a), conj(c), conj(b), conj(d)};
}

References a, b, c, and d.

Referenced by MatrixFlux::computeDeltaMatrix(), DecouplingApproximationStrategy::polarizedCalculation(), and MatrixFlux::TransformationMatrix().

allFinite()

bool SpinMatrix::allFinite

(

)

const

Definition at line 175 of file SpinMatrix.cpp.

{
    return isfinite(a) && isfinite(b) && isfinite(c) && isfinite(d);
}

References a, b, c, and d.

col0()

Spinor SpinMatrix::col0

(

)

const

Definition at line 155 of file SpinMatrix.cpp.

{
    return {a, c};
}

References a, and c.

Referenced by MatrixFlux::R1plus(), MatrixFlux::R2plus(), MatrixFlux::T1plus(), and MatrixFlux::T2plus().

col1()

Spinor SpinMatrix::col1

(

)

const

Definition at line 160 of file SpinMatrix.cpp.

{
    return {b, d};
}

References b, and d.

Referenced by MatrixFlux::R1min(), MatrixFlux::R2min(), MatrixFlux::T1min(), and MatrixFlux::T2min().

determinant()

complex_t SpinMatrix::determinant

(

)

const

Definition at line 170 of file SpinMatrix.cpp.

{
    return a * d - b * c;
}

References a, b, c, and d.

Referenced by Compute::SpecularMagnetic::topLayerR().

Diag()

SpinMatrix SpinMatrix::Diag ( complex_t  a_, complex_t  d_  )

static

Definition at line 31 of file SpinMatrix.cpp.

{
    return {a_, 0, 0, d_};
}

Referenced by One().

FromBlochVector()

SpinMatrix SpinMatrix::FromBlochVector ( const R3 &  v )

static

Constructs matrix (I+v*s)/2, where s is the Pauli vector.

Definition at line 41 of file SpinMatrix.cpp.

{
    return {(1.0 + v.z()) / 2.0, complex_t(v.x(), -v.y()) / 2.0, complex_t(v.x(), v.y()) / 2.0,
            (1.0 - v.z()) / 2.0};
}

Referenced by PolFilter::matrix(), ISpecularScan::polMatrices(), and Beam::polMatrix().

One()

SpinMatrix SpinMatrix::One ( )

static

Definition at line 36 of file SpinMatrix.cpp.

{
    return Diag(1, 1);
}

References Diag().

Referenced by Compute::MagneticNevotCroceTransition::backwardsSubmatrices(), Compute::TransitionMagneticTanh::backwardsSubmatrices(), MatrixFlux::computeDeltaMatrix(), IFormFactor::formfactor_pol(), MaterialUtils::MagnetizationCorrection(), PolFilter::matrix(), and Compute::SpecularMagnetic::topLayerR().

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operator*() [1/4]

SpinMatrix SpinMatrix::operator*

(

complex_t

f

)

const

Definition at line 89 of file SpinMatrix.cpp.

{
    return {a * f, b * f, c * f, d * f};
}

References a, b, c, and d.

operator*() [2/4]

SpinMatrix SpinMatrix::operator*

(

const SpinMatrix &

o

)

const

Definition at line 72 of file SpinMatrix.cpp.

{
    return {a * o.a + b * o.c, a * o.b + b * o.d, c * o.a + d * o.c, c * o.b + d * o.d};
}

References a, b, c, and d.

operator*() [3/4]

Spinor SpinMatrix::operator*

(

const Spinor &

s

)

const

Definition at line 84 of file SpinMatrix.cpp.

{
    return {a * s.u + b * s.v, c * s.u + d * s.v};
}

References a, b, c, d, Spinor::u, and Spinor::v.

operator*() [4/4]

SpinMatrix SpinMatrix::operator*

(

double

f

)

const

Definition at line 94 of file SpinMatrix.cpp.

{
    return {a * f, b * f, c * f, d * f};
}

References a, b, c, and d.

operator*=() [1/3]

SpinMatrix SpinMatrix::operator*=

(

complex_t

f

)

Definition at line 109 of file SpinMatrix.cpp.

{
    a *= f;
    b *= f;
    c *= f;
    d *= f;
    return *this;
}

References a, b, c, and d.

operator*=() [2/3]

SpinMatrix SpinMatrix::operator*=

(

const SpinMatrix &

o

)

Definition at line 77 of file SpinMatrix.cpp.

{
    const SpinMatrix tmp(*this * o);
    *this = tmp;
    return *this;
}

operator*=() [3/3]

SpinMatrix SpinMatrix::operator*=

(

double

f

)

Definition at line 118 of file SpinMatrix.cpp.

{
    a *= f;
    b *= f;
    c *= f;
    d *= f;
    return *this;
}

References a, b, c, and d.

operator+()

SpinMatrix SpinMatrix::operator+

(

const SpinMatrix &

o

)

const

Definition at line 52 of file SpinMatrix.cpp.

{
    return {a + o.a, b + o.b, c + o.c, d + o.d};
}

References a, b, c, and d.

operator+=()

SpinMatrix SpinMatrix::operator+=

(

const SpinMatrix &

o

)

Definition at line 62 of file SpinMatrix.cpp.

{
    a += o.a;
    b += o.b;
    c += o.c;
    d += o.d;
 
    return *this;
}

References a, b, c, and d.

operator-() [1/2]

SpinMatrix SpinMatrix::operator-

(

)

const

Definition at line 47 of file SpinMatrix.cpp.

{
    return {-a, -b, -c, -d};
}

References a, b, c, and d.

operator-() [2/2]

SpinMatrix SpinMatrix::operator-

(

const SpinMatrix &

o

)

const

Definition at line 57 of file SpinMatrix.cpp.

{
    return {a - o.a, b - o.b, c - o.c, d - o.d};
}

References a, b, c, and d.

operator/() [1/2]

SpinMatrix SpinMatrix::operator/

(

complex_t

f

)

const

Definition at line 99 of file SpinMatrix.cpp.

{
    return {a / f, b / f, c / f, d / f};
}

References a, b, c, and d.

operator/() [2/2]

SpinMatrix SpinMatrix::operator/

(

double

f

)

const

Definition at line 104 of file SpinMatrix.cpp.

{
    return {a / f, b / f, c / f, d / f};
}

References a, b, c, and d.

operator/=() [1/2]

SpinMatrix SpinMatrix::operator/=

(

complex_t

f

)

Definition at line 127 of file SpinMatrix.cpp.

{
    a /= f;
    b /= f;
    c /= f;
    d /= f;
    return *this;
}

References a, b, c, and d.

operator/=() [2/2]

SpinMatrix SpinMatrix::operator/=

(

double

f

)

Definition at line 136 of file SpinMatrix.cpp.

{
    a /= f;
    b /= f;
    c /= f;
    d /= f;
    return *this;
}

References a, b, c, and d.

trace()

complex_t SpinMatrix::trace

(

)

const

Definition at line 165 of file SpinMatrix.cpp.

{
    return a + d;
}

References a, and d.

Referenced by DecouplingApproximationStrategy::polarizedCalculation(), and SSCAStrategy::polarizedCalculation().

Member Data Documentation

a

complex_t SpinMatrix::a

Definition at line 68 of file SpinMatrix.h.

Referenced by adjoint(), allFinite(), SumDWBA::coherentPolFF(), col0(), determinant(), operator*(), operator*=(), operator+(), operator+=(), operator-(), operator/(), operator/=(), Compute::SpecularMagnetic::topLayerR(), and trace().

b

complex_t SpinMatrix::b

Definition at line 68 of file SpinMatrix.h.

Referenced by adjoint(), allFinite(), SumDWBA::coherentPolFF(), col1(), determinant(), operator*(), operator*=(), operator+(), operator+=(), operator-(), operator/(), operator/=(), and Compute::SpecularMagnetic::topLayerR().

c

complex_t SpinMatrix::c

Definition at line 68 of file SpinMatrix.h.

Referenced by adjoint(), allFinite(), SumDWBA::coherentPolFF(), col0(), determinant(), operator*(), operator*=(), operator+(), operator+=(), operator-(), operator/(), operator/=(), and Compute::SpecularMagnetic::topLayerR().

d

complex_t SpinMatrix::d

Definition at line 68 of file SpinMatrix.h.

Referenced by adjoint(), allFinite(), SumDWBA::coherentPolFF(), col1(), determinant(), operator*(), operator*=(), operator+(), operator+=(), operator-(), operator/(), operator/=(), Compute::SpecularMagnetic::topLayerR(), and trace().

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

• /home/build/builds/o5h8MZZm/0/mlz/bornagain/Base/Spin/SpinMatrix.h
• /home/build/builds/o5h8MZZm/0/mlz/bornagain/Base/Spin/SpinMatrix.cpp