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

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

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11. 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

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13. Quantum Mechanics
Example

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

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22. Quantum Mechanics ► 3.4 Uncertainty principle
for any another observable ,

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

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typical case