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Axioms of Quantum Mechanics
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Quantum Mechanics I (P303
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Contents
The Structure of Quantum Mechanics
Subsections
Axioms of Quantum Mechanics and the Hilbert Space
Recalling our axioms
Math: The Hilbert Space
Math: Examples of Hilbert spaces
The
-dimensional Hilbert space
The Hilbert space
First Axiom: States as Hilbert Space Vectors
Math: Completeness, Dirac notation
Operators and The Two-Level-System I
Operators
Examples for Expectation Values
Matrix Operators and The Two-Level System
Operators and Measurements
Math: Linear Operators
Eigenvalues and Measurement
Example: Position Measurement in the Two-Level system
Energy Measurements
Eigenstates of the Two-Level System
Energy Measurement in the Two-Level System
*Experiments in Double Quantum Dots
Energy Measurement in a Quantum Well
The Two-Level System: Time-Evolution
Time Evolution of States
Tobias Brandes 2004-02-04
-dimensional Hilbert space
