![]() ![]() Math Interlude C: Matrices, Dirac Notation, and the Dirac Delta Function7.1 The Matrix Formulation of Linear Operators7.2 Dirac Notation7.3 The Dirac Delta Function8. The Three-Dimensional Time-IndependentSchroedinger Equation6.1 Solution in Rectangular Coordinates6.2 Angular Momentum6.3 The Schroedinger Equation in Spherical Coordinates6.4 The Hydrogen Atom7. Math Interlude B: Linear Algebra5.1 Properties of Linear Operators5.2 Vector SpacesInner ProductsAdjoint and Hermitian OperatorsBasis Sets6. One-Dimensional Time-IndependentSchroedinger Equation4.1 Unbound States: Scattering and TunnelingScattering From Step-Function Potentials4.2 Bound SystemsThe Infinite SquareWellThe Harmonic Oscillator Potential5. ![]() The Schroedinger Equation3.1 Derivation of the Schroedinger Equation3.2 The Meaning of theWave Function3.3 The Time-Independent Schroedinger EquationDerivation of the Time-Independent Schroedinger EquationQualitative Solutions and the Origin of Quantization4. ![]() Math Interlude A: Complex Numbers and Linear Operators2.1 Complex Numbers2.2 OperatorsDefinition of an OperatorEigenfunctions and Eigenvalues3. ![]()
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