/
class_spinor.cpp
executable file
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class_spinor.cpp
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#include"class_spinor.h"
//****************************************
// Implementation //
//****************************************
//CONSTRUCTORS
//by default
complex_spinor::complex_spinor(){
this->_numSites = 1;
this->dimension = 2;
this->priv_pVector = gsl_vector_complex_alloc(dimension);
}
//with number of sites
complex_spinor::complex_spinor(const int & numSites){
this->priv_pVector = gsl_vector_complex_alloc(2*numSites);
this->_numSites = numSites;
this->dimension = 2*numSites;
}
//copy
complex_spinor::complex_spinor(const complex_spinor & another){
this->_numSites = another._numSites;
this->dimension = another.dimension;
this->priv_pVector = gsl_vector_complex_alloc(this->dimension);
gsl_vector_complex_memcpy(this->priv_pVector, another.priv_pVector);
}
// a simple spinor with two components
complex_spinor::complex_spinor(const gsl_complex & component_UP, const gsl_complex & component_DOWN){
this->priv_pVector = gsl_vector_complex_alloc(2);
this->dimension = 2;
this->_numSites = 1;
this->complex_spinor_set(UP, component_UP );
this->complex_spinor_set(DOWN, component_DOWN );
}
//Destructor
complex_spinor::~complex_spinor(){
gsl_vector_complex_free(this->priv_pVector);
}
gsl_vector_complex * complex_spinor::pVector()const {
return this->priv_pVector;
}
//GET AND SET
const gsl_complex complex_spinor::complex_spinor_get(SPIN spin_i) const{
return gsl_vector_complex_get(this->priv_pVector , spin_i);
}
const gsl_complex complex_spinor::complex_spinor_get(const int & nSitio , SPIN spin_i) const{
return gsl_vector_complex_get(this->priv_pVector ,2*nSitio + spin_i);
}
void complex_spinor::complex_spinor_set(const int & nSitio, SPIN spin_i, const gsl_complex & value ){
gsl_vector_complex_set( this->priv_pVector ,2* nSitio + spin_i, value);
}
void complex_spinor::complex_spinor_set( SPIN spin_i, const gsl_complex & value ){
gsl_vector_complex_set( this->priv_pVector , spin_i, value);
}
int complex_spinor::numSites() const{
return this->_numSites;
}
//WRITE AND READ
void complex_spinor::complex_spinor_fprintf(FILE * pFile) const{
gsl_vector_complex_fprintf( pFile, this->priv_pVector ,"%f");
}
void complex_spinor::complex_spinor_fwrite(FILE * pFile) const{
gsl_vector_complex_fwrite( pFile, this->priv_pVector );
}
//OPERATIONS ON SPINORS
void complex_spinor::complex_spinor_set_zero() {
int i;
int numSites = this->_numSites;
gsl_complex zero;
GSL_SET_COMPLEX(&zero, 0, 0);
for(i=0;i<numSites;i++){
this->complex_spinor_set(i,UP, zero);
this->complex_spinor_set(i,DOWN, zero);
}
}
complex_spinor complex_spinor::op(OPERATOR_SPIN spinOperator) const{
int i;
double result;
//Spin Parameters
int new_numSites = this->_numSites;
complex_spinor complex_spinor_resu(new_numSites);
if(spinOperator == S_X ){
for(i=0 ; i<new_numSites ; i++){
gsl_complex oldUP = this->complex_spinor_get(i, UP);
gsl_complex oldDOWN = this->complex_spinor_get(i, DOWN);
complex_spinor_resu.complex_spinor_set(i, UP, gsl_complex_mul_real(oldDOWN, 0.5));
complex_spinor_resu.complex_spinor_set(i, DOWN, gsl_complex_mul_real(oldUP, 0.5));
}
}
else if(spinOperator == S_Y){
for(i=0 ; i<new_numSites ; i++){
gsl_complex oldUP = this->complex_spinor_get(i, UP);
gsl_complex oldDOWN = this->complex_spinor_get(i, DOWN);
complex_spinor_resu.complex_spinor_set(i, UP, gsl_complex_mul_imag(oldDOWN, 0.5));
complex_spinor_resu.complex_spinor_set(i, DOWN, gsl_complex_mul_imag(oldUP, -0.5));
}
}
else{ //S_Z
for(i=0 ; i<new_numSites ; i++){
gsl_complex oldUP = this->complex_spinor_get(i, UP);
gsl_complex oldDOWN = this->complex_spinor_get(i, DOWN);
complex_spinor_resu.complex_spinor_set(i, UP, gsl_complex_mul_real(oldUP, 0.5));
complex_spinor_resu.complex_spinor_set(i, DOWN, gsl_complex_mul_real(oldDOWN, -0.5));
}
}
return complex_spinor_resu;
}
double complex_spinor::norm() const{
double result=0;
int new_numSites = this->_numSites;
int i;
for(i=0 ; i<new_numSites ; i++){
gsl_complex oldUP = this->complex_spinor_get(i, UP);
gsl_complex oldDOWN = this->complex_spinor_get(i, DOWN);
result = result + (gsl_complex_abs2(oldUP) + gsl_complex_abs2(oldDOWN));
}
return result;
}
double complex_spinor::meanValue(OPERATOR_SPIN operador)const{
int i;
double result = 0;
//Spinor Parameters
int new_numeroSitios = this->_numSites;
if(operador == S_Z){
result = 0;
for(i=0 ; i<new_numeroSitios ; i++){
gsl_complex oldUP = this->complex_spinor_get(i, UP);
gsl_complex oldDOWN = this->complex_spinor_get(i, DOWN);
result = result + (gsl_complex_abs2(oldUP) - gsl_complex_abs2(oldDOWN));
}
}
return 0.5*result;
}
gsl_complex complex_spinor::operator* (const complex_spinor & complex_spinor_param) const{
gsl_complex aux_UP;
gsl_complex aux_DOWN;
gsl_complex aux;
GSL_SET_COMPLEX(&aux_UP, 0, 0);
GSL_SET_COMPLEX(&aux_DOWN, 0, 0);
GSL_SET_COMPLEX(&aux, 0, 0);
int i;
int nSitios = this->_numSites;
for(i=0; i<nSitios ; i++){
aux_UP = gsl_complex_mul(gsl_complex_conjugate(complex_spinor_param.complex_spinor_get(i,UP)) ,this->complex_spinor_get(i,UP));
aux_DOWN = gsl_complex_mul(gsl_complex_conjugate(complex_spinor_param.complex_spinor_get(i,DOWN)),this->complex_spinor_get(i,DOWN));
aux=gsl_complex_add(aux, gsl_complex_add(aux_UP,aux_DOWN));
}
return aux;
}
complex_spinor complex_spinor::operator+(const complex_spinor & complex_spinor_param)const{
gsl_complex aux_UP;
gsl_complex aux_DOWN;
GSL_SET_COMPLEX(&aux_UP, 0, 0);
GSL_SET_COMPLEX(&aux_DOWN, 0, 0);
int i;
int nSitios = this->_numSites;
complex_spinor complex_spinor_res(nSitios);
for(i=0; i<nSitios ; i++){
aux_UP = gsl_complex_add(complex_spinor_param.complex_spinor_get(i, UP) , this->complex_spinor_get(i, UP));
aux_DOWN = gsl_complex_add(complex_spinor_param.complex_spinor_get(i, DOWN) , this->complex_spinor_get(i,DOWN));
complex_spinor_res.complex_spinor_set(i, UP, aux_UP);
complex_spinor_res.complex_spinor_set(i, DOWN, aux_DOWN);
}
return complex_spinor_res;
}
std::ostream& operator<<(std::ostream &os, const complex_spinor & c_spinor){
int i;
int nSitios = c_spinor._numSites;
for(i=0;i<nSitios;i++){
os << "[(" << GSL_REAL(c_spinor.complex_spinor_get(i,UP))<<" + i. "<<GSL_IMAG(c_spinor.complex_spinor_get(i,UP))<<")]"<<std::endl;
os << "[(" << GSL_REAL(c_spinor.complex_spinor_get(i,DOWN))<<" + i. "<<GSL_IMAG(c_spinor.complex_spinor_get(i,DOWN))<<")]"<<std::endl;
}
return os;
}