ampsci
c++ program for high-precision atomic structure calculations of single-valence systems
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CSF.hpp
1#pragma once
2#include "LinAlg/include.hpp"
3#include "Wavefunction/DiracSpinor.hpp"
4#include <array>
5#include <utility>
6#include <vector>
7
8namespace CI {
9
10//==============================================================================
12class CSF2 {
13 int m_parity;
14
15public:
16 // nb: array of states is always sorted
17 std::array<DiracSpinor::Index, 2> states;
18
19 CSF2(const DiracSpinor &a, const DiracSpinor &b);
20
21 DiracSpinor::Index state(std::size_t i) const;
22
23 friend bool operator==(const CSF2 &A, const CSF2 &B);
24 friend bool operator!=(const CSF2 &A, const CSF2 &B);
25
27 static int num_different(const CSF2 &A, const CSF2 &B);
28
31 static std::array<DiracSpinor::Index, 2> diff_1_na(const CSF2 &V,
32 const CSF2 &X);
34 static DiracSpinor::Index same_1_j(const CSF2 &A, const CSF2 &B);
35
37 int parity() const;
38
40 std::string config(bool relativistic = false) const;
41};
42
43//==============================================================================
45std::vector<CSF2> form_CSFs(int twoJ, int parity,
46 const std::vector<DiracSpinor> &cisp_basis);
47
48//==============================================================================
50struct ConfigInfo {
51 // configuration (typically uses non-rel notation)
52 std::string config{};
53 // square of config coeficient (if non-rel, sum of all)
54 double ci2{0.0};
55 double gJ{0.0};
56 double L{-1.0};
57 double twoS{-1.0};
58};
59
60//==============================================================================
62class PsiJPi {
63
64 int m_twoj{-1};
65 int m_pi{0};
66
67 // Number of solutions stored:
68 std::size_t m_num_solutions{0};
69 // List of CSFs
70 std::vector<CSF2> m_CSFs{};
71 // Energy, and CI expansion coeficients
72 std::pair<LinAlg::Vector<double>, LinAlg::Matrix<double>> m_Solution{};
73 std::vector<ConfigInfo> m_Info{};
74
75public:
78 PsiJPi(int twoJ, int pi, const std::vector<DiracSpinor> &cisp_basis)
79 : m_twoj(twoJ), m_pi(pi), m_CSFs(form_CSFs(twoJ, pi, cisp_basis)) {}
80
81 PsiJPi() {}
82
87 void solve(const LinAlg::Matrix<double> &Hci, int num_solutions = 0);
88
90 void update_config_info(std::size_t i, const ConfigInfo &info);
91
93 const std::vector<CSF2> &CSFs() const;
94
96 const CSF2 &CSF(std::size_t i) const;
97
99 double energy(std::size_t i) const;
100
102 LinAlg::View<const double> coefs(std::size_t i) const;
103
105 double coef(std::size_t i, std::size_t j) const;
106
108 int parity() const;
109
111 int twoJ() const;
112
114 std::size_t num_solutions() const;
115
117 const ConfigInfo &info(std::size_t i) const;
118};
119
120} // namespace CI
Very basic two-electron CSF. Only two-electron is implemented.
Definition CSF.hpp:12
static DiracSpinor::Index same_1_j(const CSF2 &A, const CSF2 &B)
Returns the state in A and B that is the same (assumes A and B differ by 1)
Definition CSF.cpp:54
std::string config(bool relativistic=false) const
Single-particle configuration as a string, in relativistic or non-rel form.
Definition CSF.cpp:69
int parity() const
Parity of the CSF, +/-1.
Definition CSF.cpp:67
static int num_different(const CSF2 &A, const CSF2 &B)
Returns number of different orbitals between two CSFs.
Definition CSF.cpp:29
static std::array< DiracSpinor::Index, 2 > diff_1_na(const CSF2 &V, const CSF2 &X)
returns different orbitals, for case where CSFs differ by 1. i.e., returns {n,a} where |V> = |X_a^n> ...
Definition CSF.cpp:40
Stores the CI Solutions for given J and parity (only two-electron).
Definition CSF.hpp:62
void solve(const LinAlg::Matrix< double > &Hci, int num_solutions=0)
Solves the CI equation for Hamiltonian matrix Hci; finds first num_solutions solutions....
Definition CSF.cpp:127
double energy(std::size_t i) const
Energy of the ith CI solution.
Definition CSF.cpp:157
PsiJPi(int twoJ, int pi, const std::vector< DiracSpinor > &cisp_basis)
Construct containter for CI solutions. Constructs the CSFs, but doesn't solve system; have to call so...
Definition CSF.hpp:78
LinAlg::View< const double > coefs(std::size_t i) const
List of CI expansion coefs for the ith CI solution.
Definition CSF.cpp:163
const ConfigInfo & info(std::size_t i) const
Configuration info for the ith CI solution, if it has been set.
Definition CSF.cpp:184
std::size_t num_solutions() const
Number of CI solutions stored.
Definition CSF.cpp:181
const CSF2 & CSF(std::size_t i) const
The ith CSF.
Definition CSF.cpp:154
double coef(std::size_t i, std::size_t j) const
The CI coeficient for the ith CI solution, corresponding to the jth CSF.
Definition CSF.cpp:169
const std::vector< CSF2 > & CSFs() const
Full list of CSFs.
Definition CSF.cpp:151
int twoJ() const
2J for the CI solutions
Definition CSF.cpp:178
void update_config_info(std::size_t i, const ConfigInfo &info)
You must manuall update the config. info for each solution (if required)
Definition CSF.cpp:145
int parity() const
Parity for the CI solutions (+/-1)
Definition CSF.cpp:175
Stores radial Dirac spinor: F_nk = (f, g)
Definition DiracSpinor.hpp:41
Matrix class; row-major.
Definition Matrix.hpp:35
Proved a "view" onto an array.
Definition Matrix.ipp:7
Functions and classes for Configuration Interaction calculations.
Definition CI_Integrals.cpp:11
std::vector< CSF2 > form_CSFs(int twoJ, int parity, const std::vector< DiracSpinor > &cisp_basis)
Forms list of all possible (2-particle) CSFs with given J and parity.
Definition CSF.cpp:85
Basic configuration info for each CI level solution.
Definition CSF.hpp:50