量子力學導論 Chap 1 - The Wave Function

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Presentation transcript:

量子力學導論 Chap 1 - The Wave Function Chap 2 - The Time-independent Schrödinger Equation Chap 3 - Formalism in Hilbert Space Chap 4 - 表象理論

Quantum Mechanics Chap 3 - Formalism in Hilbert Space ► 3.1 Linear algebra

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics ► 3.2 Function space the inner product of functions f(x) , g(x) is defined by Dirac notation and the inner product must converge , every admissible function f must be square integrable

Quantum Mechanics

Quantum Mechanics Example

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics ► 3.3 Hilbert space a complete linear vector space of infinite dimensionality is called Hilbert space

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics ► 3.4 Uncertainty principle for any another observable ,

Quantum Mechanics

Quantum Mechanics Example any pair of observables whose corresponding operators do not commute represents that they are incompatible observables

Quantum Mechanics

Quantum Mechanics

Quantum Mechanics typical case