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