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path: root/schroedinger/schrodinger_solve.py
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import argparse

import numpy as np

from schroedinger import (
    Config, potential_interp, build_potential, solve_schroedinger

)

def save_wavefuncs(filename, x, v):
    wavefuncs = np.zeros((x.shape[0], v.shape[1] + 1))
    wavefuncs[:, 0] = x
    for i in range(v.shape[1]):
        wavefuncs[:, 1 + i] = v[:, i]
    np.savetxt(filename, wavefuncs)


def save_expvalues(filename, x, v):
    n = v.shape[1]
    delta = np.abs(x[1] - x[0])
    expvalues = np.zeros((n, 2))
    for i in range(n):
        exp_x = delta * np.sum(v[:, i] * x * v[:, i])
        exp_xsq = delta * np.sum(v[:, i] * x**2 * v[:, i])
        expvalues[i, 0] = exp_x
        expvalues[i, 1] = np.sqrt(exp_xsq - exp_x ** 2)
    np.savetxt(filename, expvalues)


def main():
    parser = argparse.ArgumentParser(
        prog='schrodinger_solve',
        description='a',
        epilog='a')

    parser.add_argument('filename')
    args = parser.parse_args()
    conf = Config(args.filename)

    potential, delta = build_potential(conf)
    np.savetxt('potential.dat', potential)

    e, v = solve_schroedinger(conf.mass, potential[:, 1], delta, conf.eig_interval)

    np.savetxt('energies.dat', e)
    save_wavefuncs('wavefuncs.dat', potential[:, 0], v)
    save_expvalues('expvalues.dat', potential[:, 0], v)


if __name__ == '__main__':
    main()