From b582609a2ac61ef3e61d589d0dcc934c5f37df32 Mon Sep 17 00:00:00 2001 From: Kees van Kempen Date: Sun, 3 Apr 2022 21:10:20 +0200 Subject: [PATCH] Final: Fix location of t in H_tb --- ...l - Tight-binding propagation method.ipynb | 126 +++++++++--------- 1 file changed, 64 insertions(+), 62 deletions(-) diff --git a/Final/Final - Tight-binding propagation method.ipynb b/Final/Final - Tight-binding propagation method.ipynb index c612180..5936691 100644 --- a/Final/Final - Tight-binding propagation method.ipynb +++ b/Final/Final - Tight-binding propagation method.ipynb @@ -606,7 +606,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 7, "metadata": { "deletable": false, "nbgrader": { @@ -666,7 +666,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 8, "metadata": { "deletable": false, "nbgrader": { @@ -687,72 +687,72 @@ "output_type": "stream", "text": [ "For i = 0 ...\n", - "\tt_{i,i+1} = -0.1384916969413158\n", - "\tt_{i,i+2} = -3.0880817716278278e-06\n", - "\tt_{i,i+3} = -1.883355982770042e-15\n", + "\tt_{i,i+1} = -0.13849173441658025\n", + "\tt_{i,i+2} = -3.088088057066831e-06\n", + "\tt_{i,i+3} = -1.8833562200578063e-15\n", "\n", "For i = 1 ...\n", - "\tt_{i,i-1} = -0.1384916969413158\n", - "\tt_{i,i+1} = -0.1487153634772844\n", - "\tt_{i,i+2} = -3.130698794594546e-06\n", - "\tt_{i,i+3} = -1.9456302197759757e-15\n", + "\tt_{i,i-1} = -0.13849173441658025\n", + "\tt_{i,i+1} = -0.14871538221422848\n", + "\tt_{i,i+2} = -3.1306987950404085e-06\n", + "\tt_{i,i+3} = -1.945630457066332e-15\n", "\n", "For i = 2 ...\n", - "\tt_{i,i-1} = -0.1487153634772844\n", - "\tt_{i,i+1} = -0.1536327215743931\n", - "\tt_{i,i-2} = -3.0880817716278278e-06\n", - "\tt_{i,i+2} = -3.1522451552639614e-06\n", - "\tt_{i,i+3} = -1.976347680690269e-15\n", + "\tt_{i,i-1} = -0.14871538221422848\n", + "\tt_{i,i+1} = -0.15363274031153992\n", + "\tt_{i,i-2} = -3.088088057066831e-06\n", + "\tt_{i,i+2} = -3.152251440766849e-06\n", + "\tt_{i,i+3} = -1.9763481552880358e-15\n", "\n", "For i = 3 ...\n", - "\tt_{i,i-1} = -0.1536327215743931\n", - "\tt_{i,i+1} = -0.15605826321748156\n", - "\tt_{i,i-2} = -3.130698794594546e-06\n", - "\tt_{i,i+2} = -3.1616580970991677e-06\n", - "\tt_{i,i-3} = -1.883355982770042e-15\n", - "\tt_{i,i+3} = -1.985751885523562e-15\n", + "\tt_{i,i-1} = -0.15363274031153992\n", + "\tt_{i,i+1} = -0.1560583006931239\n", + "\tt_{i,i-2} = -3.1306987950404085e-06\n", + "\tt_{i,i+2} = -3.1616643825949025e-06\n", + "\tt_{i,i-3} = -1.8833562200578063e-15\n", + "\tt_{i,i+3} = -1.9857521228152284e-15\n", "\n", "For i = 4 ...\n", - "\tt_{i,i-1} = -0.15605826321748156\n", - "\tt_{i,i+1} = -0.15680084706928052\n", - "\tt_{i,i-2} = -3.1522451552639614e-06\n", - "\tt_{i,i+2} = -3.1616580336392234e-06\n", - "\tt_{i,i-3} = -1.945630219775976e-15\n", - "\tt_{i,i+3} = -1.976347665788238e-15\n", + "\tt_{i,i-1} = -0.1560583006931239\n", + "\tt_{i,i+1} = -0.15680086580653224\n", + "\tt_{i,i-2} = -3.1522514407668485e-06\n", + "\tt_{i,i+2} = -3.1616580341274714e-06\n", + "\tt_{i,i-3} = -1.945630457066332e-15\n", + "\tt_{i,i+3} = -1.9763479030784917e-15\n", "\n", "For i = 5 ...\n", - "\tt_{i,i-1} = -0.15680084706928052\n", - "\tt_{i,i+1} = -0.1560582620407699\n", - "\tt_{i,i-2} = -3.1616580970991677e-06\n", - "\tt_{i,i+2} = -3.1503884135302292e-06\n", - "\tt_{i,i-3} = -1.976347680690269e-15\n", - "\tt_{i,i+3} = -9.758917589446118e-16\n", + "\tt_{i,i-1} = -0.15680086580653224\n", + "\tt_{i,i+1} = -0.1560582807779115\n", + "\tt_{i,i-2} = -3.1616643825949025e-06\n", + "\tt_{i,i+2} = -3.1503943708763577e-06\n", + "\tt_{i,i-3} = -1.9763481552880358e-15\n", + "\tt_{i,i+3} = -9.75855063584149e-16\n", "\n", "For i = 6 ...\n", - "\tt_{i,i-1} = -0.1560582620407699\n", - "\tt_{i,i+1} = -0.07705930210415016\n", - "\tt_{i,i-2} = -3.1616580336392234e-06\n", - "\tt_{i,i+2} = -1.8618361745866042e-09\n", - "\tt_{i,i-3} = -1.985751885523562e-15\n", - "\tt_{i,i+3} = -1.2520416620914092e-23\n", + "\tt_{i,i-1} = -0.15605828077791148\n", + "\tt_{i,i+1} = -0.07705640452986241\n", + "\tt_{i,i-2} = -3.1616580341274714e-06\n", + "\tt_{i,i+2} = -1.8615080260773555e-09\n", + "\tt_{i,i-3} = -1.985752122815229e-15\n", + "\tt_{i,i+3} = -1.2516261372405081e-23\n", "\n", "For i = 7 ...\n", - "\tt_{i,i-1} = -0.07705930210415014\n", - "\tt_{i,i+1} = -9.886491591078138e-10\n", - "\tt_{i,i-2} = -3.1503884135302292e-06\n", - "\tt_{i,i+2} = -8.457627155901465e-24\n", - "\tt_{i,i-3} = -1.976347665788238e-15\n", + "\tt_{i,i-1} = -0.07705640452986241\n", + "\tt_{i,i+1} = -9.883210483852472e-10\n", + "\tt_{i,i-2} = -3.1503943708763577e-06\n", + "\tt_{i,i+2} = -8.453472394803474e-24\n", + "\tt_{i,i-3} = -1.9763479030784917e-15\n", "\n", "For i = 8 ...\n", - "\tt_{i,i-1} = -9.886491591078138e-10\n", - "\tt_{i,i+1} = -7.172547894745363e-31\n", - "\tt_{i,i-2} = -1.861836174586604e-09\n", - "\tt_{i,i-3} = -9.758917589446118e-16\n", + "\tt_{i,i-1} = -9.88321048385247e-10\n", + "\tt_{i,i+1} = -7.16787287550824e-31\n", + "\tt_{i,i-2} = -1.8615080260773555e-09\n", + "\tt_{i,i-3} = -9.75855063584149e-16\n", "\n", "For i = 9 ...\n", - "\tt_{i,i-1} = -7.1725478947453635e-31\n", - "\tt_{i,i-2} = -8.457627155901465e-24\n", - "\tt_{i,i-3} = -1.2520416620914093e-23\n", + "\tt_{i,i-1} = -7.16787287550824e-31\n", + "\tt_{i,i-2} = -8.453472394803472e-24\n", + "\tt_{i,i-3} = -1.2516261372405081e-23\n", "\n" ] } @@ -795,7 +795,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 9, "metadata": { "deletable": false, "nbgrader": { @@ -860,7 +860,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 10, "metadata": { "deletable": false, "nbgrader": { @@ -927,7 +927,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 11, "metadata": { "deletable": false, "nbgrader": { @@ -947,7 +947,8 @@ "def TBHamiltonian(n, sigma=.25):\n", " \"\"\"\n", " Generates the tight-binding hamiltonian H_tb for given chain length n,\n", - " using the approximation of constant hopping parameter\n", + " using the approximation of constant hopping parameter in a periodic\n", + " chain of atoms.\n", " \n", " Args:\n", " n: number of atoms in the chain\n", @@ -959,7 +960,8 @@ " \n", " # TODO: Comment on the weird 20% differences in hopping parameters.\n", " \n", - " t = hopping(i, j, n, sigma)\n", + " i = n//2\n", + " t = hopping(i, i + 1, n, sigma)\n", " H_tb = (np.eye(n, n, -1) + np.eye(n, n, 1))*t\n", " \n", " return H_tb" @@ -967,7 +969,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 12, "metadata": { "deletable": false, "nbgrader": { @@ -985,7 +987,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", + "image/png": 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\n", 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\n", + "image/png": 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\n", 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+ "image/png": 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\n", 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Xu5dGhnOBziHUJSJ1ZPnm3dz43BzW7SjkvnOO4bqTdRQRb+ImKMzsPGCLu88xs1MO4/VjgDEA2dnZtVuciNSJ1+dv5M6pC2iWmc4L1x2vs5riVNwEBfAV4HwzOwfIBFoAjwJZZpYeOaroAmyo7MXuPhYYC5CTk+P1U7KIHI7SsnJ++fZyxn60ipwjW/HE5UN0GY44Fjd9FO5+j7t3cfduwCXA++5+OfABcHFktlHAayGVKCK1YOfeEkY9PZOxH63iqhOO5IXrhysk4lw8HVFU5S5gspn9HJgHjA+5HhE5TEs3FTBm4mzyCop55OKBfCuna9glSTXEZVC4+4fAh5Hnq4BhYdYjIjX31sJN3DFlPi0apzPlhhM4tmtW2CVJNcVlUIhI8igvdx57/3N+9+7nDM7O4s9XHKempgSjoBCROrOvpIwfvDSfNxdu4qIhXXjwwv5kNkwLuyw5RAoKEakTm/OLuO7ZWSzeWMC95/Th+pN76PcRCUpBISK1bmFuPtc9O4s9RaWMuyqH049pH3ZJUgMKChGpVW8v3sztkz+lddMMXr7pRPp0aBF2SVJDCgoRqRXBRf1W839vLWVQlyzGXnUc7Zqr0zoZKChEpMZKy8r56euLeW76Os4d0JFff3uQOq2TiIJCRGpkT3Ept74wlw+Wb+XGrx3FnWf2pkEDdVonEwWFiBy2vIIirnl6FsvzdvOLbw7g0mG6IGcyUlCIyGH5LG831zw9i52FJYwblcOpvduFXZLUEQWFiByyT1ZuZ8zE2WQ2TGPKDSfQv3PLsEuSOqSgEJFD8saCjdzx4nyyj2jCM9cMpUurJmGXJHVMQSEi1fbUx6t54M0lHJfdinGjcshqkhF2SVIPFBQiclDuzkN/W8af/7GKM/u159FLBuv01xSioBCRmPaXlXP3ywt5eW4uVwzP5v7z+5Om019TioJCRKpUWFLKzc8Hv5G444xe3Hra0bqwXwpSUIhIpXYVlnDNM7OYv34X/3fhAC47Xr+RSFUKChH5ks35RVz11AzWbCvkicuHcFb/jmGXJCFSUIjIf1m1dQ9Xjp9J/r79PHPtUE48qk3YJUnIFBQi8oVFG/IZ9dRMHJh0/XAGdNEP6URBISIRM1fvYPQzs2iemc7E647nqLbNwi5J4oSCQkT4YPkWvvvcHDplNea50cfTKatx2CVJHFFQiKS4NxZs5PbJn9KnY3MmXDOMI5o1CrskiTMNwi7gADPramYfmNkSM1tsZrdFxrc2s3fM7PPIv63CrlUkWbw4ax3fmzSPwdlZvHD9cIWEVCpuggIoBb7v7n2B4cDNZtYXuBt4z917Au9FhkWkhsZ/vJq7Xl7IyT3b8uy1x9Mis2HYJUmcipugcPdN7j438nw3sBToDIwEJkRmmwBcEEqBIknC3Xnsvc954I0lnDOgA09elUPjDF23SaoWl30UZtYNGAzMANq7+6bIpM1A+ypeMwYYA5CdrV+QilQm+uJ+Fw3pwsMXDSA9LW6+L0qcirtPiJk1A14Gbnf3guhp7u6AV/Y6dx/r7jnuntO2bdt6qFQksZSXOz+Ztpg//2MVVw4/kkcuHqiQkGqJqyMKM2tIEBLPu/srkdF5ZtbR3TeZWUdgS3gViiSmsnLnrpcXMHVOLjd8tQd3n91HF/eTaoubrxMWfGrHA0vd/TdRk6YBoyLPRwGv1XdtIolsf1k5t02ex9Q5udw+oqdCQg5ZPB1RfAW4ElhoZp9Gxt0LPARMMbPRwFrg2+GUJ5J4ikvLuPWFefx9SR73nN2HG752VNglSQKKm6Bw94+Bqr7mnF6ftYgkg6L9Zdz43Bw+XL6V+8/vx6gTu4VdkiSouAkKEak9hSWlXP/sbP69cju/+OYALh2mMwHl8CkoRJLMnuJSrn16FrPX7uBXFw/iouO6hF2SJDgFhUgSKSjaz9VPzWR+bj6PXjKYbwzqFHZJkgQUFCJJIr9wP1c9NYMlmwr4w2VDOKt/h7BLkiShoBBJAjv3lnDF+Bl8nreHP15+HCP6VnoBA5HDoqAQSXDb9xRz+bgZrNq2l7FXHccpvduFXZIkGQWFSALburuYy8dNZ+32Qp4aNZSTeur+1lL7FBQiCWpLQRGXPjmdjbuKePrqoZx4tEJC6oaCQiQB5RUUcenY6WwuKOLpa4YyvMcRYZckSUxBIZJgNucHRxJbCoqYcO0whnZrHXZJkuQUFCIJorSsnJmrd3DPqwvZvqeEZ0cP47gjFRJS9xQUInFu0YZ8xn+8mveXbSF/335aNm7Is6OHMSRbt4+X+qGgEIlT+8vKeeKDlfz+/c9pkpHGiL7t+Xrf9pzcsy1NG+lPV+qPPm0icWj1tr3cNnkeC3LzOX9QJ342sh9ZTTLCLktSlIJCJM58nrebS5+cTmm584fLhnDuwI5hlyQpTkEhEkc+y9vNZU9Ox8yYeuMJHN2uWdglicTPrVBFUt1nebu5dOx0GpgxecxwhYTEDQWFSBxYvjkIibQGxqQxwzmqrUJC4oeankRCtnxz0NyU1iA4kuihkJA4oyMKkRApJCQRHFZQmFlfMzvbzHSPRZHDpJCQRHG4RxT3A82BMWY2oRbrEUkJCglJJIfbR/GOu08BptRmMVUxs7OAR4E0YJy7P1QfyxWpCwoJSTSHGxQnRnbe24Gl7v6bWqzpv5hZGvAH4AwgF5hlZtPcfUldLVOkrigkJBEdblAscvdfmVk60K82C6rEMGCFu68CMLPJwEhAQSEJRSEhiepwg+I8M9sFfOTu82uxnsp0BtZHDecCx1ecyczGAGMAsrOz67gkkUOjkJBEdtDObDOr7IjhOwQ77wvN7Mlar+owuPtYd89x95y2bduGXY7IFxQSkuiqc9bTxANPzOw6AHfPc/e3gd+7+/V1VVzEBqBr1HCXyDiRuKeQkGRQnaCwqOc3VZj2z1qspSqzgJ5m1t3MMoBLgGn1sFyRGlFISLKoTh+FRz23CtPq/Jfd7l5qZrcAbxOcHvuUuy+u6+WK1IRCQpJJdYKig5ldDczny0HhX5699rn7X4G/1seyRGpq+ebgfhIN04xJ1yskJPFVJyh+ChwHXAN0MbMlwFJgGdCm7koTSTzRITF5zAl0b9M07JJEauygQeHuY6OHI9d3GgAMBD6qo7pEEs6yzQVc9uQMhYQknUP+HYW75xL8luGt2i9HJDEt3VTA5eNmkJHWgEljhiskJKnoMuMiNbR0UwGXPTmdjLQGTFZISBJSUIjUwJKNQUhkNkxj8pjhdFNISBLSHe5EDtPijflcPm4GjSMhceQRCglJTjqiEDkMizbkc9mTM2iakc6LY05QSEhS0xGFyCF6d0ke339pPs0apTN5zHC6tm4SdkkidUpBIVJNe4tL+fmbS5g0cz19OjTnyatyFBKSEhQUIjG4O8s27+aD5Vt4cdZ61u0o5Iav9eCOM3rRKD0t7PJE6oWCQqQK//x8K3dNXcDG/CIABnRuyaTrhzO8xxEhVyZSvxQUIpX4YPkWbpg4h25HNOGXZwzklF5tadciM+yyREKhoBCp4N0ledz0/Fx6tm/Gc6OPp1XTjLBLEgmVgkIkytuLN3PLC3M5pmMLJl57PC2bNAy7JJHQ6XcUIhFvLtjEzc/PpV+nlkwcrZAQOUBBIQK89ukGbp00l8HZWUwcPYyWjRUSIgeo6UlS3tQ5udw5dT7Durdm/KihNG2kPwuRaPqLkJT2wox13PeXhZx0dBvGXplD4wz9NkKkIgWFpKxn/rWan76+hNP6tOOJy4eQ2VAhIVIZBYWkpD//YyW/eGsZZ/Zrz+8vHUJGurrrRKqioJCU4u48+t7n/O7dzzlvYEd++51jaZimkBCJRUEhKcPdefhvy/nTP1Zy8XFdePiigaQ1sLDLEol7cfFVysweMbNlZrbAzF41s6yoafeY2QozW25mZ4ZYpiSw8nLn/teX8Kd/rOSK4dn8UiEhUm1xERTAO0B/dx8IfAbcA2BmfYFLgH7AWcATZqYeRzkkZeXOXS8v4Jl/r+H6k7vzwMj+NFBIiFRbXASFu//d3Usjg9OBLpHnI4HJ7l7s7quBFcCwMGqUxLS/rJzbJs/jpTm53D6iJ/eecwxmCgmRQxEXQVHBtcBbkeedgfVR03Ij477EzMaY2Wwzm71169Y6LlESQdH+Mm6cOIc3FmzivnOO4fYRvRQSIoeh3jqzzexdoEMlk+5z99ci89wHlALPH+r7u/tYYCxATk6O16BUSQJ7iku5fsJspq/ezs8v6M8Vw48MuySRhFVvQeHuI2JNN7OrgfOA0939wI5+A9A1arYukXEiVdpVWMKop2exaEM+v/32sVwwuNKDUBGpprhoejKzs4A7gfPdvTBq0jTgEjNrZGbdgZ7AzDBqlMSwpaCIS8ZOZ+nGAv54+RCFhEgtiJffUTwONALeibQhT3f3G919sZlNAZYQNEnd7O5lIdYpcWz9jkKuGD+DrbuLeerqoZzUs03YJYkkhbgICnc/Osa0B4EH67EcSUCf5e3minEzKC4t5/nrjmdwdquwSxJJGnERFCI1MXfdTq59ZhYZaQ2YcsMJ9O7QPOySRJKKgkIS2j8+28qNE+fQrkUjJl57PNlHNAm7JJGko6CQhDVt/ka+P+VTjm7XnAnXDqVd88ywSxJJSgoKSUjP/Gs197+xhKHdWjNuVA4tMnXrUpG6oqCQhOLu/Prvn/H4Byv4et/2PHbpYN1wSKSOKSgkYZSWlfOjvyxi8qz1XDqsKw+M7E+67iUhUucUFJIQCktKufWFeby3bAu3nnY0d5yh6zaJ1BcFhcS9HXtLuPaZWSzI3cUDF/TnSl23SaReKSgkrq3bXsjVT89kw659/PGK4zizX2XXlRSRuqSgkLg1f/0uRk+Yxf4y57nrjmdot9ZhlySSkhQUEpfeW5rHLS/Mo03zDF68ZhhHtW0WdkkiKUtBIXFn4idr+Mm0xfTv3JLxo4bStnmjsEsSSWkKCokbZeXOL/66lHEfr2bEMe147NLBNMnQR1QkbPorlLiwr6SM21+cx9uL87j6xG78+Ly+pDXQ6a8i8UBBIaHbUlDEdc/OZuGGfP73vL5ce1L3sEsSkSgKCgnVko0FjJ4wi/x9+3nyyhxG9G0fdkkiUoGCQkLz7pI8vjd5Hi0bN+SlG0+gX6eWYZckIpVQUEi9c3f+9I9V/PLtZQzo3JInr8qhfQtdIlwkXikopF4V7S/j3lcW8sq8DZw3sCOPXDyIxhm6+qtIPFNQSL3JKyhizMQ5zF+/izvO6MWtpx2tC/uJJAAFhdSLeet2csPEOewpLuVPVwzhrP4dwy5JRKpJQSF17qXZ67nv1UW0b9mIZ0efSJ8OLcIuSUQOQVzd9cXMvm9mbmZtIsNmZo+Z2QozW2BmQ8KuUaqvpLScH/9lET+cuoCh3Vsx7eaTFBIiCShujijMrCvwdWBd1OizgZ6Rx/HAHyP/SpzbUlDETc/PZfbandzw1R788MzeuhudSIKKm6AAfgvcCbwWNW4k8Ky7OzDdzLLMrKO7bwqlQqmWGau2c/ML89hbXMrvLx3MNwZ1CrskEamBuAgKMxsJbHD3+RXOgukMrI8azo2MU1DEIXfnyX+u4uG/LefI1k14/rrj6d2hedhliUgN1VtQmNm7QGW3J7sPuJeg2akm7z8GGAOQnZ1dk7eSw5C/bz93Tp3P24vzOKtfBx751kCaZzYMuywRqQX1FhTuPqKy8WY2AOgOHDia6ALMNbNhwAaga9TsXSLjKnv/scBYgJycHK+9yuVgFubmc9MLc9i0q4j7zjmG607urt9HiCSR0Jue3H0h0O7AsJmtAXLcfZuZTQNuMbPJBJ3Y+eqfiB/uzsTpa/n5G0s5olkGL95wAscd2SrsskSkloUeFAfxV+AcYAVQCFwTbjlywK7CEu6cuoC/L8njlN5t+c23j6V104ywyxKROhB3QeHu3aKeO3BzeNVIZWat2cFtk+axdU8xPzr3GK79Snca6CZDIkkr7oJC4ldpWTmPvb+Cx9//nC6tmjD1xhMZ1DUr7LJEpI4pKKRa1u8o5LbJ85i7bhffHNKZ+8/vp7OaRFKEgkJicndemp3L/a8vpkED47FLB3O+fkAnklIUFFKlrbuLueeVhby7NI8TehzBI98aSJdWTcIuS0TqmYJCKvXmgk38+LVF7CkuVYe1SIpTUMh/2banmP99bRF/XbiZgV1a8qtvDaJXe12GQySVKSgECPoips3fyP2vL2FPUSk/PLM3N3y1h674KiIKCoENu/bxo1cX8sHyrRzbNYuHLxqoi/mJyBcUFCmstKycCZ+s5Td/X065w4/P68vVJ3YjTX0RIhJFQZGi5q/fxb2vLmTxxgJO6d2WB0b2p2trndEkIl+moEgxO/eW8MjflzNp5jraNmvEE5cP4ez+HXS1VxGpkoIiRZSVO5NnreORt5ezu6iUa07szu1n9KSFfl0tIgehoEgB/16xjZ+9sYRlm3czvEdr7j+/vzqrRaTaFBRJbOXWPTz01jLeWZJH56zGPH7ZYM4d0FHNTCJySBQUSWjL7iIeffdzJs9aT2Z6A354Zm9Gn9SdzIZpYZcmIglIQZFE8vftZ9w/VzH+49WUlJZz+fHZ3HpaT9o2bxR2aSKSwBQUCa6ktJw12/fyzpI8/vyPlRQUlXLugI784MzedG/TNOzyRCQJKCgSkLszaeZ6xn28irXbCykrdwBO79OOO77ei36dWoZcoYgkEwVFginaX8b/vraIKbNzGZKdxTlfO4qe7ZvRr1MLjm6nM5lEpPYpKBLI6m17uX3yPObn5nPLqUfzP2f00uU2RKTOKSjinLvzycrtPPWvNby3LI+mGen8+crjOLNfh7BLE5EUoaCIUwVF+3l17gaen7GWz/L20LppBrecejRXDj+Sdi0ywy5PRFKIgiKOuDuz1+7kpdnreX3+JvbtL2Ngl5b88qKBnH9sJ/0OQkRCETdBYWa3AjcDZcCb7n5nZPw9wOjI+O+5+9vhVVk31m7fy7RPN/LKvA2s3raXJhlpnD+oE5cPz2Zgl6ywyxORFBcXQWFmpwIjgUHuXmxm7SLj+wKXAP2ATsC7ZtbL3cvCq7Z2bNi1j78t2szr8zfy6fpdAAzr3pqbTjmKcwZ0pGmjuNg0IiLxERTAd4GH3L0YwN23RMaPBCZHxq82sxXAMOCTcMo8fO7O0k27+WD5Ft5evJkFufkA9OnQnLvP7sM3BnWic1bjkKsUEfmyeAmKXsDJZvYgUAT8wN1nAZ2B6VHz5UbGfYmZjQHGAGRnZ9dttdW0fU8x/165nX+t2MaHy7eyuaAIgEFdWnLXWX04s197erRtFnKVIiKx1VtQmNm7QGXndN4XqaM1MBwYCkwxsx6H8v7uPhYYC5CTk+M1q/bwbNi1j1mrdzB77Q5mr9nJss27AWjeKJ2Terbh1D7tOKVXW521JCIJpd6Cwt1HVDXNzL4LvOLuDsw0s3KgDbAB6Bo1a5fIuLiRv28/by7YxMtzc5mzdicAzRqlMzg7i28M6sSJRx3BgM4tSU9rEHKlIiKHJ16anv4CnAp8YGa9gAxgGzANeMHMfkPQmd0TmFkfBZWXO7uLS9lTXMqeolJ2FZawuaCIvIIiNu4qYu32vazdXsi6HYWUljs92zXjrrP68NVebejToYV+MS0iSSNeguIp4CkzWwSUAKMiRxeLzWwKsAQoBW6uyzOenvxoFc/NWMuuwv0UFO3Hq2jAatYonezWTejTsTlnD+jAmf06MKBzS90QSESSUlwEhbuXAFdUMe1B4MH6qKNt80YM6pJFVpOGZDVuSIvGDWmR2ZBmmek0z0ynQ4tMOrTMpLnuMy0iKSQugiJeXDC4MxcMrvSkKhGRlKUeVhERiUlBISIiMSkoREQkJgWFiIjEpKAQEZGYFBQiIhKTgkJERGJSUIiISEzmVV2nIoGZ2VZg7SG8pA3BtaVSTSqudyquM6TmeqfiOkPN1vtId29bcWRSBsWhMrPZ7p4Tdh31LRXXOxXXGVJzvVNxnaFu1ltNTyIiEpOCQkREYlJQBMaGXUBIUnG9U3GdITXXOxXXGepgvdVHISIiMemIQkREYlJQiIhITCkfFGZ2lpktN7MVZnZ32PXUBTPramYfmNkSM1tsZrdFxrc2s3fM7PPIv63CrrW2mVmamc0zszciw93NbEZke79oZhlh11jbzCzLzKaa2TIzW2pmJyT7tjaz/4l8theZ2SQzy0zGbW1mT5nZlshtow+Mq3TbWuCxyPovMLMhh7vclA4KM0sD/gCcDfQFLjWzvuFWVSdKge+7e19gOHBzZD3vBt5z957Ae5HhZHMbsDRq+GHgt+5+NLATGB1KVXXrUeBv7t4HGESw/km7rc2sM/A9IMfd+wNpwCUk57Z+Bjirwriqtu3ZQM/IYwzwx8NdaEoHBTAMWOHuqyL37Z4MjAy5plrn7pvcfW7k+W6CHUdngnWdEJltAnBBKAXWETPrApwLjIsMG3AaMDUySzKuc0vgq8B4CO5H7+67SPJtTXBb58Zmlg40ATaRhNva3T8CdlQYXdW2HQk864HpQJaZdTyc5aZ6UHQG1kcN50bGJS0z6wYMBmYA7d19U2TSZqB9WHXVkd8BdwLlkeEjgF3uXhoZTsbt3R3YCjwdaXIbZ2ZNSeJt7e4bgF8B6wgCIh+YQ/Jv6wOq2ra1tn9L9aBIKWbWDHgZuN3dC6KneXCedNKcK21m5wFb3H1O2LXUs3RgCPBHdx8M7KVCM1MSbutWBN+euwOdgKZ8uXkmJdTVtk31oNgAdI0a7hIZl3TMrCFBSDzv7q9ERucdOBSN/LslrPrqwFeA881sDUGT4mkEbfdZkeYJSM7tnQvkuvuMyPBUguBI5m09Aljt7lvdfT/wCsH2T/ZtfUBV27bW9m+pHhSzgJ6RsyMyCDrApoVcU62LtM2PB5a6+2+iJk0DRkWejwJeq+/a6oq73+PuXdy9G8F2fd/dLwc+AC6OzJZU6wzg7puB9WbWOzLqdGAJSbytCZqchptZk8hn/cA6J/W2jlLVtp0GXBU5+2k4kB/VRHVIUv6X2WZ2DkFbdhrwlLs/GG5Ftc/MTgL+CSzkP+319xL0U0wBsgkuy/5td6/YUZbwzOwU4Afufp6Z9SA4wmgNzAOucPfiEMurdWZ2LEEHfgawCriG4Eth0m5rM7sf+A7BGX7zgOsI2uOTalub2STgFIJLiecBPwH+QiXbNhKajxM0wxUC17j77MNabqoHhYiIxJbqTU8iInIQCgoREYlJQSEiIjEpKEREJCYFhYiIxKSgEBGRmBQUIiISk4JCpI6Z2Utm9riZfWxma83sJDObaGafmdn4sOsTOZj0g88iIjU0APjE3W8xs3sJLqdyCsFVXnPNrFGi/2JYkpuCQqQOmVkmkEVwmRgIruw5/sA1d8ysDCgJpTiRalLTk0jd6gfMdfcD19gaRHCNrQM3Vtrouo6OxDkFhUjdGgDMjxoeCCyIPB8U9VwkbikoROrWAOBT+KIZqrG774xMiw4Nkbilq8eKiEhMOqIQEZGYFBQiIhKTgkJERGJSUIiISEwKChERiUlBISIiMSkoREQkpv8HIJgnWSIMgncAAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -1054,7 +1056,7 @@ " \n", " plt.figure()\n", " plt.plot(np.arange(len(E_m)) + 1, np.sort(E_m))\n", - " plt.title(\"Energy eigenstates of $H_{{tb}}$ for $n = {}$\".format(n))\n", + " plt.title(\"Energy eigenvalues of $H_{{tb}}$ for $n = {}$\".format(n))\n", " plt.xlabel(\"$m$\")\n", " plt.ylabel(\"$E_m$\")\n", " plt.show()\n",