Spherical_Harmonics.h

#ifndef QNANO_NEW_SPHERICAL_HARMONICS_DEFINED_H
#define QNANO_NEW_SPHERICAL_HARMONICS_DEFINED_H

#include <cmath>
#include <iostream>
#include <cstdlib>
#include <vector>
#include <complex>

/*

Here, we provide the first few spherical harmonics in real form. Source:
 https://en.wikipedia.org/wiki/Table_of_spherical_harmonics#Real_spherical_harmonics


*/


namespace Spherical_Harmonics{


// d has to contain x,y, and z coordinates:
double Y(const size_t orb, const double *d);

double Y(const size_t orb, const double x, const double y, const double z);

std::vector<std::complex<double> > apply_Lz(const std::vector<std::complex<double> > &orbs);

std::vector<std::complex<double> > apply_sx(const std::vector<std::complex<double> > &orbs);
std::vector<std::complex<double> > apply_sy(const std::vector<std::complex<double> > &orbs);
std::vector<std::complex<double> > apply_sz(const std::vector<std::complex<double> > &orbs);


std::vector<std::complex<double> > apply_Jz(const std::vector<std::complex<double> > &orbs);


}//namespace

#endif