Skip to content

Quantum Mechanics

Learn

Learn overview→

Welcome
Big Picture
Roadmaps
Prerequisites Overview
Conventions Overview
Study System
Trust and Maintenance

Library

Browse all subjects→

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 Mechanics
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

Labs

Labs overview→

Bound States and Spectra
Driven and Dissipative Dynamics
Scattering Experiments
Relativistic Wave Equations
Running and Checking Experiments

Research

Research overview→

Research Frontiers OverviewPlanned
MapsPlanned
Open Problems OverviewPlanned
Quantum ComputingPlanned
Algorithms ComplexityPlanned
Simulation and Many-Body FrontiersPlanned

Quantum MatterPlanned
AMO PlatformsPlanned
Networks CommunicationPlanned
Sensing MetrologyPlanned
Open Systems Thermodynamics ControlPlanned
Foundations RealityPlanned

Quantum Gravity InterfacePlanned
Rigorous FrontiersPlanned
Computational Data DrivenPlanned
Interdisciplinary EmergingPlanned
Living ReviewsPlanned
Annual Archives OverviewPlanned

Reference

Reference overview→

Quick Lookup
Glossary
Symbol Index
Formula Compendium
Operator and Hamiltonian Library
Model Encyclopedia

Theorems and Results
Experiment and Historical Index
Derivation Index
ExamplesPlanned
Problem Index
Tables

Constants, Units, and Conventions
Bibliography and Reading Guides
Software, Notebooks, and Benchmarks
Data and Figure Index
QFT Bridge Index
Errata and Version History

More

Learn
Learn overview
Library
Browse all subjects
Tools and Core Concepts
Dynamics and General Methods
Systems and Applications
Mathematical Structure and Foundations
- Mathematical Quantum Mechanics
- Foundations and Interpretations
Labs
Labs overview
Research
Research overview
Reference
Reference overview
About

Select theme

qm-mobile-menu-button { display: none !important; }

Learn
Library
- Browse all subjects
- Tools and Core Concepts
- Dynamics and General Methods
- Systems and Applications
- Mathematical Structure and Foundations
  - Mathematical Quantum Mechanics
  - Foundations and Interpretations
Labs
Research
Reference
About

Select theme

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

On this page

Overview

On this page

Overview

Spectral Theorem for Bounded Operators

Previous
Spectral Measures and Observables Next
Spectral Theorem for Unbounded Self-Adjoint Operators