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  - Mathematical Quantum Mechanics
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Library

Tools and Core Concepts

Mathematical Toolkit
Experiments and Historical Development
Core Formalism
Wave Mechanics and Model Systems
Symmetry, Angular Momentum, and Spin
Composite Systems and Entanglement

Dynamics and General Methods

Quantum Dynamics and Formulations
Approximation and Semiclassical Methods
Scattering Theory
Measurement and Open Quantum Systems
Computational Quantum MechanicsPlanned
Many-Body and Quantum Statistical Mechanics

Systems and Applications

Atomic, Molecular, and Optical Physics
Quantum Matter
Quantum Information and Computation
Relativistic Quantum Mechanics

Mathematical Structure and Foundations

Mathematical Quantum Mechanics
Foundations and Interpretations

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Hilbert Space Formalization Challenges

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Finite-Dimensional QM Formalization Next
Spectral Theorem Formalization Challenges