1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
|
// ************************************************************************************************
//
// BornAgain: simulate and fit reflection and scattering
//
//! @file Base/Spin/SpinMatrix.h
//! @brief Defines class SpinMatrix.
//!
//! @homepage http://www.bornagainproject.org
//! @license GNU General Public License v3 or higher (see COPYING)
//! @copyright Forschungszentrum Jülich GmbH 2018
//! @authors Scientific Computing Group at MLZ (see CITATION, AUTHORS)
//
// ************************************************************************************************
#ifndef BORNAGAIN_BASE_SPIN_SPINMATRIX_H
#define BORNAGAIN_BASE_SPIN_SPINMATRIX_H
#include <heinz/Complex.h>
#include <heinz/Vectors3D.h>
class Spinor;
class SpinMatrix {
public:
//! Constructs matrix with rows (a_,b_) and (c_,d_).
SpinMatrix(complex_t a_, complex_t b_, complex_t c_, complex_t d_);
//! Contructs the null matrix.
SpinMatrix();
static SpinMatrix Diag(complex_t a_, complex_t d_);
static SpinMatrix One();
static SpinMatrix Null();
//! Constructs matrix (I+v*s)/2, where s is the Pauli vector.
static SpinMatrix FromBlochVector(const R3& v);
SpinMatrix operator-() const;
SpinMatrix operator+(const SpinMatrix&) const;
SpinMatrix operator-(const SpinMatrix&) const;
SpinMatrix operator+=(const SpinMatrix&);
SpinMatrix operator*(const SpinMatrix&) const;
SpinMatrix operator*=(const SpinMatrix&);
Spinor operator*(const Spinor&) const;
SpinMatrix operator*(complex_t) const;
SpinMatrix operator*(double) const;
SpinMatrix operator/(complex_t) const;
SpinMatrix operator/(double) const;
SpinMatrix operator*=(complex_t);
SpinMatrix operator*=(double);
SpinMatrix operator/=(complex_t);
SpinMatrix operator/=(double);
Spinor col0() const;
Spinor col1() const;
complex_t trace() const;
complex_t determinant() const;
bool allFinite() const;
SpinMatrix adjoint() const;
complex_t a, b, c, d;
};
SpinMatrix operator*(complex_t, const SpinMatrix&);
SpinMatrix operator*(double, const SpinMatrix&);
#endif // BORNAGAIN_BASE_SPIN_SPINMATRIX_H
|
