update

2023-11-07 03:38:46 +08:00
parent 1e7c4c0e68
commit bc3890c25b
212 changed files with 0 additions and 0 deletions
--- a/2021.03.08_eigenvalues_of_the_Hamiltonian_composed_of_Pauli_matrices/eigenvalues_of_the_Hamiltonian_composed_of_Pauli_matrices.nb
+++ b/2021.03.08_eigenvalues_of_the_Hamiltonian_composed_of_Pauli_matrices/eigenvalues_of_the_Hamiltonian_composed_of_Pauli_matrices.nb
@@ -0,0 +1,81 @@
+(* Content-type: application/vnd.wolfram.mathematica *)
+
+(*** Wolfram Notebook File ***)
+(* http://www.wolfram.com/nb *)
+
+(* CreatedBy='Mathematica 12.0' *)
+
+(*CacheID: 234*)
+(* Internal cache information:
+NotebookFileLineBreakTest
+NotebookFileLineBreakTest
+NotebookDataPosition[       158,          7]
+NotebookDataLength[      2039,         71]
+NotebookOptionsPosition[      1730,         57]
+NotebookOutlinePosition[      2086,         73]
+CellTagsIndexPosition[      2043,         70]
+WindowFrame->Normal*)
+
+(* Beginning of Notebook Content *)
+Notebook[{
+Cell[BoxData[{
+ RowBox[{"Clear", "[", "\"\<`*\>\"", "]"}], "\n", 
+ RowBox[{
+  RowBox[{"H", "=", 
+   RowBox[{
+    RowBox[{"(", 
+     RowBox[{"{", 
+      RowBox[{
+       RowBox[{"{", 
+        RowBox[{"a0", ",", "0"}], "}"}], ",", 
+       RowBox[{"{", 
+        RowBox[{"0", ",", "a0"}], "}"}]}], "}"}], ")"}], "+", 
+    RowBox[{"(", 
+     RowBox[{"{", 
+      RowBox[{
+       RowBox[{"{", 
+        RowBox[{"a3", ",", 
+         RowBox[{"a1", "-", 
+          RowBox[{"I", "*", "a2"}]}]}], "}"}], ",", 
+       RowBox[{"{", 
+        RowBox[{
+         RowBox[{"a1", "+", 
+          RowBox[{"I", "*", "a2"}]}], ",", 
+         RowBox[{"-", "a3"}]}], "}"}]}], "}"}], ")"}]}]}], ";"}], "\n", 
+ RowBox[{"MatrixForm", "[", "H", "]"}], "\n", 
+ RowBox[{"eigenvalue", "=", 
+  RowBox[{"MatrixForm", "[", 
+   RowBox[{"Simplify", "[", 
+    RowBox[{"Eigenvalues", "[", "H", "]"}], "]"}], "]"}]}], "\n", 
+ RowBox[{"eigenvector", "=", 
+  RowBox[{"MatrixForm", "[", 
+   RowBox[{"Simplify", "[", 
+    RowBox[{"Eigenvectors", "[", "H", "]"}], "]"}], "]"}]}]}], "Input",
+ CellChangeTimes->{{3.830338636045154*^9, 
+  3.830338636046383*^9}},ExpressionUUID->"6b5e0acb-1938-4b1e-bd73-\
+d3f6bb8905fc"]
+},
+WindowSize->{759, 670},
+WindowMargins->{{Automatic, 572}, {64, Automatic}},
+FrontEndVersion->"12.0 for Microsoft Windows (64-bit) (2019\:5e744\:67088\
+\:65e5)",
+StyleDefinitions->"Default.nb"
+]
+(* End of Notebook Content *)
+
+(* Internal cache information *)
+(*CellTagsOutline
+CellTagsIndex->{}
+*)
+(*CellTagsIndex
+CellTagsIndex->{}
+*)
+(*NotebookFileOutline
+Notebook[{
+Cell[558, 20, 1168, 35, 193, "Input",ExpressionUUID->"6b5e0acb-1938-4b1e-bd73-d3f6bb8905fc"]
+}
+]
+*)
+
+(* End of internal cache information *)
+