Chapter 1 - Hilbert Space and Algebra of Operators

1  Hilbert Space and Algebra of Operators

• 1.1  EigenvalueProblemsinQuantumMechanics . . . . . . . . . . . . . . . 2

• 1.2  EigenvalueprobleminMatricesSpace ................... 2

• 1.3  EigenvalueprobleminFunctionsSpace .................. 4

• 1.4  EigenvalueprobleminBra-KetSpace.................... 6

• 1.5  DefinitionsandTheories........................... 6

• 1.6  References ................................... 11

• 1.7  Exercises.................................... 11