diff --git "a/ModularedPresentation.ipynb" "b/ModularedPresentation.ipynb" --- "a/ModularedPresentation.ipynb" +++ "b/ModularedPresentation.ipynb" @@ -663,7 +663,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -682,7 +682,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -708,7 +708,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -740,22 +740,9 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "ename": "TypeError", - "evalue": "argument of type 'float' is not iterable", - "output_type": "error", - "traceback": [ - "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[1;32mIn[4], line 22\u001b[0m\n\u001b[0;32m 3\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m value \u001b[38;5;241m*\u001b[39m np\u001b[38;5;241m.\u001b[39mones_like(x)\n\u001b[0;32m 5\u001b[0m \u001b[38;5;66;03m#V = inf_sqaure_well(x,-L/2,L/2)\u001b[39;00m\n\u001b[0;32m 6\u001b[0m \n\u001b[0;32m 7\u001b[0m \n\u001b[1;32m (...)\u001b[0m\n\u001b[0;32m 19\u001b[0m \u001b[38;5;66;03m# Let's run Example 1:\u001b[39;00m\n\u001b[0;32m 20\u001b[0m \u001b[38;5;66;03m#V = inf_wall(x, 'left', 2) + harmonic(x, center=5, k=5)\u001b[39;00m\n\u001b[1;32m---> 22\u001b[0m V \u001b[38;5;241m=\u001b[39m \u001b[43mfinite_square_well\u001b[49m\u001b[43m(\u001b[49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m10\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m0.1\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[0;32m 25\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mfunctions\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m plot_V\n\u001b[0;32m 27\u001b[0m plot_V(V);\n", - "File \u001b[1;32md:\\Documents\\SFU\\PHYS385_Quantum2\\CodeProjects\\psi_solve2\\functions.py:95\u001b[0m, in \u001b[0;36mfinite_square_well\u001b[1;34m(x, lower_bound, upper_bound, depth_V)\u001b[0m\n\u001b[0;32m 92\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mfinite_square_well\u001b[39m(x, lower_bound, upper_bound, depth_V):\n\u001b[0;32m 93\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"A finite square well of a specific depth_V (height of the walls).\"\"\"\u001b[39;00m\n\u001b[1;32m---> 95\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43minf\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;129;43;01min\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43mdepth_V\u001b[49m:\n\u001b[0;32m 96\u001b[0m HUGE_NUMBER \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m9e10\u001b[39m\n\u001b[0;32m 97\u001b[0m depth_V \u001b[38;5;241m=\u001b[39m HUGE_NUMBER\n", - "\u001b[1;31mTypeError\u001b[0m: argument of type 'float' is not iterable" - ] - } - ], + "outputs": [], "source": [ "import numpy as np\n", "def custom2(value):\n", @@ -896,23 +883,11 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'T' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[1;32mIn[5], line 5\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mfunctions\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m solve\n\u001b[0;32m 3\u001b[0m V \u001b[38;5;241m=\u001b[39m finite_square_well(x,\u001b[38;5;241m0\u001b[39m,\u001b[38;5;241m10\u001b[39m,\u001b[38;5;124m'\u001b[39m\u001b[38;5;124minf\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m----> 5\u001b[0m E, psi \u001b[38;5;241m=\u001b[39m solve(\u001b[43mT\u001b[49m, V, dx)\n", - "\u001b[1;31mNameError\u001b[0m: name 'T' is not defined" - ] - } - ], + "outputs": [], "source": [ "from functions import solve\n", "\n", - "V = finite_square_well(x,0,10,'inf')\n", + "V = finite_square_well(x,0,10,1)\n", "\n", "E, psi = solve(T, V, dx)\n", " \n" @@ -922,18 +897,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "from functions import plot_alive\n", "plot_alive(E, psi, V, x, no=0);\n" @@ -943,26 +907,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[2.29649797e-02 8.14595597e-02 1.07872515e-01 ... 3.20327441e+03\n", - " 3.20328433e+03 3.20329416e+03]\n" - ] - }, - { - "data": { - "text/plain": [ - "3203.294160433711" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Debug 2\n", "bool(0)\n", @@ -975,18 +920,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "#%matplotlib widget\n", "# Inaccurate Plot for intution (Like the Textbook)\n", @@ -1097,32 +1031,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "--- Orthonormality Check (First 20 states) ---\n", - "Overlap Matrix should approximate the Identity Matrix:\n", - "[[ 1.00000000e+00 2.88513730e-16 -1.49805206e-16 4.88254004e-16\n", - " 3.32900457e-17 3.32900457e-17 -4.52189788e-16 -3.66190503e-16\n", - " -3.85609696e-16 -1.94191933e-16 -2.06675700e-16 -2.94062070e-16\n", - " -3.48851937e-16 -5.43737413e-16 -2.50368885e-16 -5.54834095e-16\n", - " -1.38708524e-18 -3.21803775e-16 -1.02297536e-16 -2.71868707e-16]\n", - " [ 2.88513730e-16 1.00000000e+00 -1.33160183e-15 -6.65800914e-17\n", - " 1.10966819e-16 -3.77287185e-16 -5.77027459e-16 -7.65671051e-16\n", - " -6.65800914e-16 -6.87994278e-16 4.43867276e-17 -6.21414187e-16\n", - " 3.82835526e-16 -2.77417048e-16 1.13740990e-16 -2.33030320e-16\n", - " -1.66450229e-16 -2.21933638e-16 -1.94191933e-16 -2.49675343e-16]\n", - " [-1.49805206e-16 -1.33160183e-15 1.00000000e+00 -2.21933638e-16\n", - " -7.54574370e-16 5.54834095e-16 -6.76897596e-16 5.43737413e-16\n", - " 6.76897596e-16 -3.43997139e-16 1.10966819e-16 -5.15995709e-16\n", - " -1.99740274e-16 -1.47031035e-16 -2.41352831e-16 2.77417048e-16\n", - " 3.12094179e-16 -2.08062786e-16 -8.32251143e-18 -2.13611127e-16]]\n" - ] - } - ], + "outputs": [], "source": [ "from functions import check_ortho,show_matrix\n", "\n", @@ -1138,54 +1047,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[ 1. 0. -0. 0. 0. 0. -0. -0. -0. -0. -0. -0. -0. -0. -0. -0. -0. -0.\n", - " -0. -0.]\n", - " [ 0. 1. -0. -0. 0. -0. -0. -0. -0. -0. 0. -0. 0. -0. 0. -0. -0. -0.\n", - " -0. -0.]\n", - " [-0. -0. 1. -0. -0. 0. -0. 0. 0. -0. 0. -0. -0. -0. -0. 0. 0. -0.\n", - " -0. -0.]\n", - " [ 0. -0. -0. 1. -0. -0. -0. -0. -0. 0. -0. -0. -0. -0. -0. -0. -0. -0.\n", - " -0. -0.]\n", - " [ 0. 0. -0. -0. 1. -0. -0. -0. -0. -0. -0. -0. -0. -0. 0. -0. -0. -0.\n", - " 0. -0.]\n", - " [ 0. -0. 0. -0. -0. 1. -0. -0. -0. -0. -0. -0. -0. -0. -0. -0. 0. -0.\n", - " 0. 0.]\n", - " [-0. -0. -0. -0. -0. -0. 1. -0. -0. -0. -0. 0. 0. -0. 0. 0. 0. 0.\n", - " -0. 0.]\n", - " [-0. -0. 0. -0. -0. -0. -0. 1. -0. 0. 0. -0. -0. -0. -0. -0. 0. 0.\n", - " 0. 0.]\n", - " [-0. -0. 0. -0. -0. -0. -0. -0. 1. 0. 0. -0. 0. 0. 0. 0. -0. 0.\n", - " -0. -0.]\n", - " [-0. -0. -0. 0. -0. -0. -0. 0. 0. 1. 0. 0. 0. -0. 0. -0. -0. 0.\n", - " -0. -0.]\n", - " [-0. 0. 0. -0. -0. -0. -0. 0. 0. 0. 1. -0. 0. -0. -0. -0. -0. -0.\n", - " -0. -0.]\n", - " [-0. -0. -0. -0. -0. -0. 0. -0. -0. 0. -0. 1. 0. 0. 0. 0. -0. 0.\n", - " -0. -0.]\n", - " [-0. 0. -0. -0. -0. -0. 0. -0. 0. 0. 0. 0. 1. -0. 0. -0. 0. 0.\n", - " -0. -0.]\n", - " [-0. -0. -0. -0. -0. -0. -0. -0. 0. -0. -0. 0. -0. 1. 0. 0. 0. 0.\n", - " -0. -0.]\n", - " [-0. 0. -0. -0. 0. -0. 0. -0. 0. 0. -0. 0. 0. 0. 1. -0. 0. -0.\n", - " -0. 0.]\n", - " [-0. -0. 0. -0. -0. -0. 0. -0. 0. -0. -0. 0. -0. 0. -0. 1. 0. 0.\n", - " 0. 0.]\n", - " [-0. -0. 0. -0. -0. 0. 0. 0. -0. -0. -0. -0. 0. 0. 0. 0. 1. 0.\n", - " -0. -0.]\n", - " [-0. -0. -0. -0. -0. -0. 0. 0. 0. 0. -0. 0. 0. 0. -0. 0. 0. 1.\n", - " -0. -0.]\n", - " [-0. -0. -0. -0. 0. 0. -0. 0. -0. -0. -0. -0. -0. -0. -0. 0. -0. -0.\n", - " 1. 0.]\n", - " [-0. -0. -0. -0. -0. 0. 0. 0. -0. -0. -0. -0. -0. -0. 0. 0. -0. -0.\n", - " 0. 1.]]\n" - ] - } - ], + "outputs": [], "source": [ "\n", "show_matrix(overlap_matrix,how=\"round\",round_value=10)\n" @@ -1195,18 +1057,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "show_matrix(overlap_matrix,how=\"plot\",round_value=10)\n" ] @@ -1295,26 +1146,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "### ENERGY BENCHMARK: Infinite Square Well ###\n", - "-------------------------------------------------------\n", - "| n | Analytic E | Numerical E | % Error |\n", - "-------------------------------------------------------\n", - "| 1 | 0.001974 | 0.022965 | 1063.4195% |\n", - "| 2 | 0.007896 | 0.081460 | 931.6974% |\n", - "| 3 | 0.017765 | 0.107873 | 507.2095% |\n", - "| 4 | 0.031583 | 0.120116 | 280.3233% |\n", - "| 5 | 0.049348 | 0.132238 | 167.9710% |\n", - "| 6 | 0.071061 | 0.157769 | 122.0187% |\n", - "-------------------------------------------------------\n" - ] - } - ], + "outputs": [], "source": [ "from functions import check_ISW_analytic\n", "check_ISW_analytic(E,L,hbar=1.0, m=1.0, max_levels=6)" @@ -1370,15 +1202,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "I don't think this is a Harmonic Oscillator, or an error occurred: name 'Last_k_value' is not defined\n" - ] - } - ], + "outputs": [], "source": [ "# Assuming Last_k_value, hbar, m, E, and CHECK_N are available\n", "from functions import check_harmonic_analytic\n", @@ -1394,16 +1218,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Physics Engine Ready.\n", - "Grid: 2000 points over L=50\n" - ] - } - ], + "outputs": [], "source": [ "\n", "import cv2\n", @@ -1450,252 +1265,117 @@ "mp_hands = mp.solutions.hands\n", "hands = mp_hands.Hands(max_num_hands=2, min_detection_confidence=0.7)\n", "drawer = mp.solutions.drawing_utils\n", - "\n", - "# Create a notebook-friendly version of the function\n", - "def capture_potential_notebook(tune, A_MIN, A_MAX, mode='wait'):\n", - " \n", - " # Copy relevant constants from the file for local scope\n", - " THUMB_TIP_ID = 4\n", - " INDEX_TIP_ID = 8\n", - " REQUIRED_STABLE_FRAMES = 45\n", - " MOVEMENT_THRESHOLD = 0.015\n", - " PLOT_CEILING_A = 10.0\n", - " EPS = 1e-9\n", - " \n", - " D_MIN = 0.001\n", - " D_MAX = 0.2\n", - " D_RANGE = D_MAX - D_MIN\n", - " A_RANGE = A_MAX - A_MIN\n", - " SLOPE = -A_RANGE / D_RANGE\n", - " INTERCEPT = A_MAX - SLOPE * D_MIN\n", - " # End of copied constants\n", - " \n", - " cap = cv2.VideoCapture(0)\n", - " captured_V = None\n", - " \n", - " if not cap.isOpened():\n", - " print(\"Error: Could not open video stream. Check permissions or camera index.\")\n", - " return None\n", - "\n", - " stability_counter = 0\n", - " prev_landmarks = []\n", - " \n", - " start_time = time.time()\n", - " MAX_RUN_TIME_SECONDS = 30 \n", - " \n", - " print(\"Controls: HOLD STILL to capture, or wait for the time limit to exit.\")\n", - "\n", - " while True:\n", - " ret, frame = cap.read()\n", - " if not ret:\n", - " break\n", - " \n", - " frame = cv2.flip(frame, 1)\n", - " h, w, _ = frame.shape\n", - " rgb = cv2.cvtColor(frame, cv2.COLOR_BGR2RGB)\n", - " res = hands.process(rgb)\n", - "\n", - " pot_profile = None\n", - " mode_msg = \"No Hands\"\n", - " params_to_display = []\n", - " current_landmarks_flat = []\n", - "\n", - " # --- LANDMARK AND POTENTIAL LOGIC (Skipped for brevity, assume this is correct) ---\n", - " if res.multi_hand_landmarks:\n", - " for hand_lms in res.multi_hand_landmarks:\n", - " for lm in hand_lms.landmark:\n", - " current_landmarks_flat.extend([lm.x, lm.y])\n", - " for lm in res.multi_hand_landmarks:\n", - " drawer.draw_landmarks(frame, lm, mp_hands.HAND_CONNECTIONS)\n", - " \n", - " # TWO HANDS (Square Well)\n", - " if len(res.multi_hand_landmarks) >= 2:\n", - " mode_msg = \"Mode: Square Well (Auto-Centered)\"\n", - " x_coords = [lm.landmark[INDEX_TIP_ID].x * w for lm in res.multi_hand_landmarks]\n", - " x_coords.sort()\n", - " xL_hand, xR_hand = int(x_coords[0]), int(x_coords[1])\n", - " cv2.line(frame, (xL_hand, 0), (xL_hand, h), (0, 255, 255), 2)\n", - " cv2.line(frame, (xR_hand, 0), (xR_hand, h), (0, 255, 255), 2)\n", - " well_width = xR_hand - xL_hand\n", - " center_screen = w / 2\n", - " centered_L = center_screen - (well_width / 2)\n", - " centered_R = center_screen + (well_width / 2)\n", - " params_to_display.append(f\"Width: {well_width:4.0f} px\")\n", - " params_to_display.append(f\"Status: Centered\")\n", - " x_space = np.linspace(0, w, 400)\n", - " pot_profile = np.ones_like(x_space)\n", - " pot_profile[(x_space > centered_L) & (x_space < centered_R)] = 0\n", - " # ONE HAND (QHO)\n", - " elif len(res.multi_hand_landmarks) == 1:\n", - " mode_msg = \"Mode: Pinch QHO\"\n", - " lm = res.multi_hand_landmarks[0]\n", - " thumb = lm.landmark[THUMB_TIP_ID]\n", - " index = lm.landmark[INDEX_TIP_ID]\n", - " dx = index.x - thumb.x\n", - " dy = index.y - thumb.y\n", - " pinch_distance = math.sqrt(dx**2 + dy**2)\n", - " A = SLOPE * pinch_distance + INTERCEPT\n", - " A = max(A_MIN, min(A_MAX, A))\n", - " x_space = np.linspace(-1, 1, 400)\n", - " pot_profile = A * (x_space**2)\n", - " pot_profile = pot_profile / (PLOT_CEILING_A + EPS)\n", - " pot_profile = np.clip(pot_profile, 0.0, 1.0)\n", - " params_to_display.append(f\"Pinch Dist: {pinch_distance:.4f}\")\n", - " params_to_display.append(f\"A (curv): {A:.4f}\")\n", - " display_pts = np.column_stack(((x_space + 1)/2 * w, (1 - pot_profile) * h)).astype(np.int32)\n", - " cv2.polylines(frame, [display_pts], False, (0, 0, 255), 2)\n", - " # --- END LANDMARK AND POTENTIAL LOGIC ---\n", - "\n", - " # STABILITY CHECK\n", - " if mode != 'wait':\n", - " if current_landmarks_flat and prev_landmarks and len(current_landmarks_flat) == len(prev_landmarks):\n", - " movement = np.mean(np.abs(np.array(current_landmarks_flat) - np.array(prev_landmarks)))\n", - " stability_counter = stability_counter + 1 if movement < MOVEMENT_THRESHOLD else 0\n", - " else:\n", - " stability_counter = 0\n", - "\n", - " prev_landmarks = current_landmarks_flat\n", - "\n", - " if stability_counter > 0:\n", - " progress = stability_counter / REQUIRED_STABLE_FRAMES\n", - " bar_width = int(w * progress)\n", - " color = (0, 255*progress, 255*(1-progress))\n", - " cv2.rectangle(frame, (0, 0), (bar_width, 20), color, -1)\n", - " cv2.putText(frame, \"HOLDING...\", (10, 15), cv2.FONT_HERSHEY_SIMPLEX, 0.5, (0, 0, 0), 1)\n", - "\n", - " # Finished\n", - " if stability_counter >= REQUIRED_STABLE_FRAMES and pot_profile is not None:\n", - " captured_V = pot_profile\n", - " cap.release()\n", - " # --- LINE REMOVED HERE (was cv2.destroyAllWindows()) ---\n", - " print(\"Stable capture triggered and video stream closed.\")\n", - " return captured_V\n", - "\n", - " # UI OVERLAY\n", - " cv2.putText(frame, mode_msg, (10, 50), cv2.FONT_HERSHEY_SIMPLEX, 0.7, (0, 255, 0), 2)\n", - " display_params(frame, params_to_display)\n", - " \n", - " # NOTEBOOK DISPLAY\n", - " clear_output(wait=True) \n", - " _, buffer = cv2.imencode('.jpeg', frame)\n", - " display(Image(data=buffer.tobytes()))\n", - " \n", - " time.sleep(0.01)\n", - "\n", - " if time.time() - start_time > MAX_RUN_TIME_SECONDS:\n", - " print(f\"Time limit of {MAX_RUN_TIME_SECONDS} seconds reached.\")\n", - " break\n", - "\n", - " # -----------------------------------------------------------------\n", - " cap.release()\n", - " return captured_V\n" + "\n" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": {}, "outputs": [ { - "ename": "NameError", - "evalue": "name 'V_raw_input' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[1;32mIn[39], line 3\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[38;5;66;03m# Call the new notebook function\u001b[39;00m\n\u001b[0;32m 2\u001b[0m \u001b[38;5;66;03m#V_raw_input = capture_potential_notebook(mode='', tune=1, A_MIN=0, A_MAX=100) \u001b[39;00m\n\u001b[1;32m----> 3\u001b[0m plot_V(\u001b[43mV_raw_input\u001b[49m)\n\u001b[0;32m 5\u001b[0m \u001b[38;5;66;03m# 4. Execute Capture\u001b[39;00m\n\u001b[0;32m 6\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mStarting camera stream...\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n", - "\u001b[1;31mNameError\u001b[0m: name 'V_raw_input' is not defined" + "data": { + "image/jpeg": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Stable capture triggered and video stream closed.\n" ] } ], "source": [ "\n", - "# Call the new notebook function\n", - "#V_raw_input = capture_potential_notebook(mode='', tune=1, A_MIN=0, A_MAX=100) \n", - "plot_V(V_raw_input)\n", - "\n", + "from functions import capture_potential_notebook\n", "# 4. Execute Capture\n", "print(\"Starting camera stream...\")\n", "# Assuming A_MIN and A_MAX are defined or hardcoded.\n", "A_MIN = 0\n", "A_MAX = 100 \n", - "V_raw_input = capture_potential_notebook(mode='', tune=1, A_MIN=A_MIN, A_MAX=A_MAX) \n", - "\n", - "if V_raw_input is not None:\n", - " # Use the imported plot_V from your file or define it here\n", - " # plot_V(V_raw_input) \n", - " print(\"Potential capture successful.\")\n", - "else:\n", - " print(\"Potential capture failed or was aborted.\")\n", - "\n", - "\n", - "if V_raw_input is None:\n", - " print(\"Error: Run the Camera Input cell first to get V_raw_input!\")\n", - "else:\n", - " # --- 1. Map Input to Physics Grid (Interpolation & Scaling) ---\n", - " \n", - " # 1.1 Define the internal grid points for the solver\n", - " x_solver = x[1:-1] # Interior points for V_final (length N)\n", - " \n", - " # 1.2 Interpolation: Map the camera's resolution to the solver's grid\n", - " V_interpolated = np.interp(\n", - " x_solver, \n", - " np.linspace(-L/2, L/2, len(V_raw_input)), # Input X-space\n", - " V_raw_input # Input V-values\n", - " )\n", - "\n", - " # 1.3 Scaling: Convert dimensionless input to energy units\n", - " V_max_height = 100.0 # Heuristic scaling factor\n", - " V_internal = V_interpolated * V_max_height\n", - " \n", - " # 1.4 Prepare V_full (The potential array including the walls, length N+2)\n", - " # The V_full is required by your current 'solve' function signature \n", - " # to maintain consistency with the inf_sqaure_well definition.\n", - " # We pad the V_internal array with 0s for the walls, knowing that \n", - " # the Hamiltonian construction will use V_internal (V_full[1:-1]) only.\n", - " V_full = np.pad(V_internal, (1, 1), 'constant', constant_values=0.0)\n", - "\n", - "\n", - " # --- 2. Solve H psi = E psi using defined function ---\n", - " # The 'solve' function handles the Hamiltonian construction (T + diag(V)) \n", - " # and normalization internally.\n", - " try:\n", - " E_vals, psi_vecs = solve(T, V_full, dx)\n", - " print(f\"Solver complete. Found {E_vals.size} eigenstates.\")\n", - " \n", - " except Exception as e:\n", - " print(f\"Error during solve: {e}\")\n", - " # Check if the potential is too high, causing numerical instability\n", - " if np.max(V_internal) > 1e9:\n", - " print(\"Potential may be too steep or high, leading to numerical error.\")\n", - " exit()\n", - "\n", - "\n", - " # --- 3. Visualization using defined function (or adapted visualization) ---\n", - " \n", - " # The original 'plot_dead' function uses default constants (nos=5).\n", - " # We call it here, passing the calculated results:\n", - " \n", - " # Note: We pass V_full to plot_dead, as it contains the boundary info\n", - " # that your V_clipped logic uses for plotting the potential shape.\n", - " " + "V_raw_input = capture_potential_notebook(mode='',tune=1, A_MIN=A_MIN, A_MAX=A_MAX) \n", + "\n", + "def verify():\n", + " if V_raw_input is not None:\n", + " # Use the imported plot_V from your file or define it here\n", + " # plot_V(V_raw_input) \n", + " print(\"Potential capture successful.\")\n", + " else:\n", + " print(\"Potential capture failed or was aborted.\")\n", + "\n", + "\n", + " if V_raw_input is None:\n", + " print(\"Error: Run the Camera Input cell first to get V_raw_input!\")\n", + " else:\n", + " # --- 1. Map Input to Physics Grid (Interpolation & Scaling) ---\n", + " \n", + " # 1.1 Define the internal grid points for the solver\n", + " x_solver = x[1:-1] # Interior points for V_final (length N)\n", + " \n", + " # 1.2 Interpolation: Map the camera's resolution to the solver's grid\n", + " V_interpolated = np.interp(\n", + " x_solver, \n", + " np.linspace(-L/2, L/2, len(V_raw_input)), # Input X-space\n", + " V_raw_input # Input V-values\n", + " )\n", + "\n", + " # 1.3 Scaling: Convert dimensionless input to energy units\n", + " V_max_height = 100.0 # Heuristic scaling factor\n", + " V_internal = V_interpolated * V_max_height\n", + " \n", + " # 1.4 Prepare V_full (The potential array including the walls, length N+2)\n", + " # The V_full is required by your current 'solve' function signature \n", + " # to maintain consistency with the inf_sqaure_well definition.\n", + " # We pad the V_internal array with 0s for the walls, knowing that \n", + " # the Hamiltonian construction will use V_internal (V_full[1:-1]) only.\n", + " V_full = np.pad(V_internal, (1, 1), 'constant', constant_values=0.0)\n", + "\n", + "\n", + " # --- 2. Solve H psi = E psi using defined function ---\n", + " # The 'solve' function handles the Hamiltonian construction (T + diag(V)) \n", + " # and normalization internally.\n", + " try:\n", + " E_vals, psi_vecs = solve(T, V_full, dx)\n", + " print(f\"Solver complete. Found {E_vals.size} eigenstates.\")\n", + " \n", + " except Exception as e:\n", + " print(f\"Error during solve: {e}\")\n", + " # Check if the potential is too high, causing numerical instability\n", + " if np.max(V_internal) > 1e9:\n", + " print(\"Potential may be too steep or high, leading to numerical error.\")\n", + " exit()\n", + "\n", + "\n", + " # --- 3. Visualization using defined function (or adapted visualization) ---\n", + " \n", + " # The original 'plot_dead' function uses default constants (nos=5).\n", + " # We call it here, passing the calculated results:\n", + " \n", + " # Note: We pass V_full to plot_dead, as it contains the boundary info\n", + " # that your V_clipped logic uses for plotting the potential shape.\n", + " " ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "metadata": {}, "outputs": [ { - "ename": "NameError", - "evalue": "name 'E_vals' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[1;32mIn[20], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m plot_dead(E\u001b[38;5;241m=\u001b[39m\u001b[43mE_vals\u001b[49m, psi\u001b[38;5;241m=\u001b[39mpsi_vecs, V\u001b[38;5;241m=\u001b[39mV_full, x\u001b[38;5;241m=\u001b[39mx, nos\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m5\u001b[39m);\n", - "\u001b[1;31mNameError\u001b[0m: name 'E_vals' is not defined" - ] + "data": { + "image/png": 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", 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