phy-520/project/inverse_r_potential.cpp

113 lines
2.4 KiB
C++

#include <math.h>
#include <vector>
#include <stdio>
#include <iomanip>
double c0 = 1;
double e = 1;
double pi = 3.14;
double ep_0 = 1;
double hbar = 1;
double m = 1;
double a = 4*pi*ep_0*hbar*hbar/m/e/e;
// hydrogen atom model
// kappa = sqrt(-2*m*E/hbar)
// kappa = m * e^2 / (4 * pi * ep_0 * hbar^2)
double kappa(double n)
{
double result = m * e^2 / (4 * pi * ep_0 * hbar^2);
result /= n;
return result;
}
double c_j (double j, double n, double l)
{
double result = (2 *(j+l+1-n)/(j+1)/(j+2*l+2));
result *= c_j(j);
}
double v(double n, double l, double rho)
{
double jmax = n-l-1;
std::vector<double> c;
for (double power=0; power < jmax + 1; power++) {
c[power] = c0
}
}
double R(double n, double l,
double r)
{
double rho = r/a*n;
double result = 1/r
* pow(rho,l+1)
* exp(-rho)
* v(n,l,rho);
}
normalize()
double Y(double l, double m,
double theta, double phi);
double psi(double n, double l, double m,
double r, double theta, double phi)
= R(n,l,r) * Y(l,m,theta,phi);
int main(int argc, char const *argv[])
{
// nanometers
for (double r=0; r<100; r += 0.005)
std::cout
<< std::scientific << std::setprecision(6)
<< r << '\t'
<< R(1,0,r) << '\t'
<< R(2,0,r) << '\t'
<< R(3,0,r) << '\t'
<< R(4,0,r) << '\t'
<< R(5,0,r) << '\t'
<< R(6,0,r) << '\t'
<< R(7,0,r) << '\t'
<< R(8,0,r) << '\t'
<< R(9,0,r) << '\t'
<< R(10,0,r) << '\t'
<< R(11,0,r) << '\t'
<< R(12,0,r) << '\t'
<< R(13,0,r) << '\t'
<< R(14,0,r) << '\t'
<< R(15,0,r);
//for (double r=0; r<100; r += 0.005)
//std::cout
// << std::scientific << std::setprecision(6)
// << r << '\t'
// << psi(1,0,0,r,0,0) << '\t'
// << psi(2,0,0,r,0,0) << '\t'
// << psi(3,0,0,r,0,0) << '\t'
// << psi(4,0,0,r,0,0) << '\t'
// << psi(5,0,0,r,0,0) << '\t'
// << psi(6,0,0,r,0,0) << '\t'
// << psi(7,0,0,r,0,0) << '\t'
// << psi(8,0,0,r,0,0) << '\t'
// << psi(9,0,0,r,0,0) << '\t'
// << psi(10,0,0,r,0,0) << '\t'
// << psi(11,0,0,r,0,0) << '\t'
// << psi(12,0,0,r,0,0) << '\t'
// << psi(13,0,0,r,0,0) << '\t'
// << psi(14,0,0,r,0,0) << '\t'
// << psi(15,0,0,r,0,0);
return 0;
}