{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots\n",
    "include(\"p_space.jl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "vertices = [0, 1 - 0.5im, 2, 6]\n",
    "subdivisions = [64, 64, 64]\n",
    "p, w = get_mesh(vertices, subdivisions)\n",
    "\n",
    "scatter(real.(p), imag.(p))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# ComplexScaling-FV: Eq. (54)\n",
    "V_pq(p, q) = -10 * g1(1, p, q)\n",
    "\n",
    "H = get_H_matrix(V_pq, p, w)\n",
    "evals = eigen(H).values\n",
    "\n",
    "E_target = 0.258 - 0.164im\n",
    "E = evals[argmin(norm.(evals .- E_target))]\n",
    "\n",
    "print(\"E = $E\")\n",
    "scatter(real.(evals), imag.(evals), xlim = (0,1))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.9.0",
   "language": "julia",
   "name": "julia-1.9"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.9.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}