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      "source": [
        "# Cuantización de Ondas Elásticas: Fonones\n",
        "### Basado en el Apéndice C — C. Kittel, *Introduction to Solid State Physics*, 8ª ed.\n",
        "\n",
        "---\n",
        "\n",
        "Este notebook implementa dos simulaciones interactivas del modelo de cadena lineal 1D:\n",
        "\n",
        "- **Simulación 3:** Desplazamientos $q_s(t)$ como superposición de modos fonónicos (animación en tiempo real)\n",
        "- **Simulación 5:** Energía total y calor específico del sistema de fonones vs temperatura\n",
        "\n",
        "Ambas simulaciones están ancladas a las ecuaciones exactas del Kittel, con física cuantizada correcta."
      ]
    },
    {
      "cell_type": "markdown",
      "id": "imports-md",
      "metadata": {
        "id": "imports-md"
      },
      "source": [
        "## Importaciones y configuración"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "id": "imports",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "imports",
        "outputId": "40594d97-410e-49a9-872b-b6033dfd596d"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Entorno listo ✓\n"
          ]
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import matplotlib.animation as animation\n",
        "from matplotlib.gridspec import GridSpec\n",
        "from ipywidgets import interact, interactive, fixed, widgets, HBox, VBox, Output\n",
        "from IPython.display import display, HTML\n",
        "\n",
        "# Constantes físicas\n",
        "HBAR = 1.0545718e-34   # J·s\n",
        "KB   = 1.380649e-23    # J/K\n",
        "\n",
        "plt.rcParams.update({\n",
        "    'figure.dpi': 110,\n",
        "    'axes.titlesize': 13,\n",
        "    'axes.labelsize': 12,\n",
        "    'font.family': 'serif'\n",
        "})\n",
        "print('Entorno listo ✓')"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "sim3-intro",
      "metadata": {
        "id": "sim3-intro"
      },
      "source": [
        "---\n",
        "## Simulación: Desplazamientos $q_s(t)$ como superposición de modos fonónicos\n",
        "\n",
        "### Modelo físico\n",
        "\n",
        "Consideramos $N$ partículas de masa $M$ conectadas por resortes de constante $C$ y longitud de equilibrio $a$, formando un anillo (condiciones de frontera periódicas). El desplazamiento transversal de la partícula $s$ es $q_s$.\n",
        "\n",
        "El Hamiltoniano del sistema es (Kittel, ec. 1):\n",
        "\n",
        "$$H = \\sum_{s=1}^{N} \\left[ \\frac{p_s^2}{2M} + \\frac{C}{2}(q_{s+1} - q_s)^2 \\right]$$\n",
        "\n",
        "### Transformación a coordenadas de fonón\n",
        "\n",
        "Los desplazamientos se escriben como superposición de modos normales (Kittel, ec. 32):\n",
        "\n",
        "$$q_s(t) = \\sum_k \\left(\\frac{\\hbar}{2NM\\omega_k}\\right)^{1/2} \\left[ A_k \\, e^{i(ksa - \\omega_k t)} + A_k^* \\, e^{-i(ksa - \\omega_k t)} \\right]$$\n",
        "\n",
        "donde la **relación de dispersión** (Kittel, ec. 15) es:\n",
        "\n",
        "$$\\omega_k = \\left(\\frac{2C}{M}\\right)^{1/2} |\\sin(ka/2)|$$\n",
        "\n",
        "Los vectores de onda permitidos por la condición periódica $q_{s+N} = q_s$ son:\n",
        "\n",
        "$$k = \\frac{2\\pi n}{Na}, \\quad n = 0, \\pm 1, \\pm 2, \\ldots, \\pm \\frac{N}{2}$$\n",
        "\n",
        "### Descripción de la simulación\n",
        "\n",
        "Se puede seleccionar cuáles modos $k$ están activos y con qué amplitud. La posición de cada partícula se calcula como suma de los modos activados, mostrando en tiempo real cómo la superposición construye el movimiento colectivo."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "id": "sim3-helpers",
      "metadata": {
        "id": "sim3-helpers"
      },
      "outputs": [],
      "source": [
        "# ─── Funciones auxiliares para la Simulación 3 ───────────────────────────────\n",
        "\n",
        "def dispersion(k_vals, C, M, a=1.0):\n",
        "    \"\"\"Relación de dispersión: ωk = sqrt(2C/M) * |sin(ka/2)| (Kittel ec.15)\"\"\"\n",
        "    return np.sqrt(2 * C / M) * np.abs(np.sin(k_vals * a / 2))\n",
        "\n",
        "\n",
        "def compute_displacements(s_arr, t, k_vals, omega_vals, amplitudes, phases, C, M, a=1.0):\n",
        "    \"\"\"\n",
        "    Calcula q_s(t) = 2 * Σ_k A_k * sqrt(ℏ/2NMωk) * cos(k·s·a - ωk·t + φk)\n",
        "    En unidades naturales (ℏ=1) para visualización.\n",
        "    El factor de amplitud cuántica (ℏ/2NMωk)^(1/2) está incluido.\n",
        "    \"\"\"\n",
        "    N = len(s_arr)\n",
        "    q = np.zeros(N)\n",
        "    for k, omega, A, phi in zip(k_vals, omega_vals, amplitudes, phases):\n",
        "        if omega < 1e-10:  # modo k=0 no oscila\n",
        "            continue\n",
        "        # Factor cuántico de amplitud (unidades arbitrarias normalizadas)\n",
        "        q_amp = A / np.sqrt(omega)\n",
        "        q += 2 * q_amp * np.cos(k * s_arr * a - omega * t + phi)\n",
        "    return q"
      ]
    },
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      "cell_type": "code",
      "execution_count": 4,
      "id": "sim3-interactive",
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        "colab": {
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          "height": 847,
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        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "interactive(children=(IntSlider(value=12, description='N (partículas)', max=24, min=4, step=2, style=SliderSty…"
            ],
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      "source": [
        "# ─── Simulación Interactiva ─────────────────────────────────────────────────\n",
        "#\n",
        "# Controles:\n",
        "#   - N: número de partículas\n",
        "#   - C, M: constante de resorte y masa\n",
        "#   - Modos activos (n1, n2, n3): índices de modo a superponer\n",
        "#   - Amplitudes relativas de cada modo\n",
        "#   - Tiempo t: avanza la animación\n",
        "\n",
        "def plot_displacements(N=12, C=1.0, M=1.0,\n",
        "                        n1=1, A1=1.0,\n",
        "                        n2=3, A2=0.5,\n",
        "                        n3=5, A3=0.3,\n",
        "                        t=0.0,\n",
        "                        show_individual=True):\n",
        "\n",
        "    a = 1.0  # longitud de red (unidades arbitrarias)\n",
        "    s_arr = np.arange(N)\n",
        "\n",
        "    # Modos seleccionados\n",
        "    ns     = [n1, n2, n3]\n",
        "    ampls  = [A1, A2, A3]\n",
        "    k_vals = [2 * np.pi * n / (N * a) for n in ns]\n",
        "    omegas = dispersion(np.array(k_vals), C, M, a)\n",
        "    phases = [0.0, 0.0, 0.0]  # fases iniciales cero\n",
        "\n",
        "    # ── Figura con 2 paneles ──\n",
        "    fig, axes = plt.subplots(1, 2, figsize=(13, 4.5))\n",
        "\n",
        "    # Panel izquierdo: desplazamientos\n",
        "    ax1 = axes[0]\n",
        "    colors = ['#2E86AB', '#E84855', '#3BB273']\n",
        "\n",
        "    if show_individual:\n",
        "        for i, (k, omega, A, phi, col) in enumerate(zip(k_vals, omegas, ampls, phases, colors)):\n",
        "            q_i = np.zeros(N)\n",
        "            if omega > 1e-10:\n",
        "                q_i = 2 * (A / np.sqrt(omega)) * np.cos(k * s_arr * a - omega * t + phi)\n",
        "            ax1.plot(s_arr, q_i, '--', color=col, alpha=0.55,\n",
        "                     label=f'Modo $n={ns[i]}$, $A={A}$')\n",
        "\n",
        "    # Suma total\n",
        "    q_total = compute_displacements(s_arr, t, k_vals, omegas, ampls, phases, C, M, a)\n",
        "    ax1.plot(s_arr, q_total, 'o-', color='#1A1A2E', lw=2.2, ms=8, label='Superposición total')\n",
        "    ax1.axhline(0, color='gray', lw=0.7, ls=':')\n",
        "    ax1.set_xlabel('Índice de partícula $s$')\n",
        "    ax1.set_ylabel('Desplazamiento $q_s(t)$')\n",
        "    ax1.set_title(f'Desplazamientos $q_s(t)$ — $t={t:.2f}$')\n",
        "    ax1.set_xticks(s_arr)\n",
        "    ax1.legend(fontsize=9, loc='upper right')\n",
        "    ax1.set_ylim(-4, 4)\n",
        "\n",
        "    # Panel derecho: relación de dispersión completa\n",
        "    ax2 = axes[1]\n",
        "    n_all  = np.arange(-N//2, N//2 + 1)\n",
        "    k_all  = 2 * np.pi * n_all / (N * a)\n",
        "    om_all = dispersion(k_all, C, M, a)\n",
        "    ax2.plot(k_all, om_all, 'k-', lw=1.8, label='$\\\\omega_k$')\n",
        "\n",
        "    # Marcar los modos activos\n",
        "    for i, (k, omega, col) in enumerate(zip(k_vals, omegas, colors)):\n",
        "        ax2.scatter([k], [omega], color=col, s=90, zorder=5,\n",
        "                    label=f'$n={ns[i]}$: $\\\\omega={omega:.3f}$')\n",
        "\n",
        "    ax2.set_xlabel('Vector de onda $k$')\n",
        "    ax2.set_ylabel('Frecuencia $\\\\omega_k$')\n",
        "    ax2.set_title('Relación de dispersión (Kittel ec. 15)')\n",
        "    ax2.legend(fontsize=9)\n",
        "    ax2.axvline(-np.pi / a, color='gray', ls='--', lw=0.8, label='Zona de Brillouin')\n",
        "    ax2.axvline( np.pi / a, color='gray', ls='--', lw=0.8)\n",
        "\n",
        "    plt.tight_layout()\n",
        "    plt.show()\n",
        "\n",
        "\n",
        "# ── Widgets ──\n",
        "style = {'description_width': 'initial'}\n",
        "\n",
        "interact(\n",
        "    plot_displacements,\n",
        "    N=widgets.IntSlider(value=12, min=4, max=24, step=2,\n",
        "                        description='N (partículas)', style=style),\n",
        "    C=widgets.FloatSlider(value=1.0, min=0.1, max=5.0, step=0.1,\n",
        "                          description='C (rigidez)', style=style),\n",
        "    M=widgets.FloatSlider(value=1.0, min=0.1, max=5.0, step=0.1,\n",
        "                          description='M (masa)', style=style),\n",
        "    n1=widgets.IntSlider(value=1, min=0, max=12, description='Modo n₁', style=style),\n",
        "    A1=widgets.FloatSlider(value=1.0, min=0.0, max=2.0, step=0.1,\n",
        "                           description='Amplitud A₁', style=style),\n",
        "    n2=widgets.IntSlider(value=3, min=0, max=12, description='Modo n₂', style=style),\n",
        "    A2=widgets.FloatSlider(value=0.5, min=0.0, max=2.0, step=0.1,\n",
        "                           description='Amplitud A₂', style=style),\n",
        "    n3=widgets.IntSlider(value=5, min=0, max=12, description='Modo n₃', style=style),\n",
        "    A3=widgets.FloatSlider(value=0.3, min=0.0, max=2.0, step=0.1,\n",
        "                           description='Amplitud A₃', style=style),\n",
        "    t=widgets.FloatSlider(value=0.0, min=0.0, max=20.0, step=0.1,\n",
        "                          description='Tiempo t', style=style),\n",
        "    show_individual=widgets.Checkbox(value=True,\n",
        "                                      description='Mostrar modos individuales')\n",
        ");"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "sim3-guide",
      "metadata": {
        "id": "sim3-guide"
      },
      "source": [
        "### Guía de uso\n",
        "\n",
        "| Control | Efecto físico |\n",
        "|---|---|\n",
        "| **N** | Número de partículas; define los $k$ permitidos: $k_n = 2\\pi n / Na$ |\n",
        "| **C, M** | Controlan la frecuencia máxima $\\omega_{\\max} = \\sqrt{4C/M}$ (borde de zona) |\n",
        "| **Modo nᵢ** | Índice $n$ del modo activado ($n=1$ es el modo acústico de onda larga) |\n",
        "| **Amplitud Aᵢ** | Peso relativo del modo; en QM corresponde a $\\sqrt{\\langle n_k \\rangle}$ |\n",
        "| **Tiempo t** | Avanza la fase temporal $e^{-i\\omega_k t}$; observa la propagación de ondas |\n",
        "\n",
        "**Experimentos sugeridos:**\n",
        "1. Activa solo $n_1=1$, $A_1=1$: ves el modo acústico de longitud de onda más larga.\n",
        "2. Superpone $n_1=1$ y $n_2=2$: aparece interferencia entre modos.\n",
        "3. Sube $N \\to 24$ y activa $n_3 = N/2$: ves el modo en el borde de zona de Brillouin (onda estacionaria alternante).\n",
        "4. Mueve $t$ lentamente: los modos de mayor $\\omega_k$ oscilan más rápido."
      ]
    }
  ]
}