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The 169 pages that link to Quantum mechanics, each with the reason it gives.

• Statistical mechanicsRelated: Quantum statistical mechanics counts quantum states and accounts for indistinguishable particles.

• Complex numberRelated: Quantum state amplitudes are complex numbers whose squared magnitudes yield probabilities.

• Hilbert spaceRelated: Quantum state vectors occupy Hilbert spaces, with inner products encoding probability amplitudes.

• Partial differential equationRelated: The Schrödinger equation is a PDE governing quantum-state evolution.

• Linear algebraRelated: Quantum states are represented by vectors, and observables by linear operators.

• DeterminismRelated: Standard interpretations assign fundamental probabilities to measurement outcomes, challenging classical determinism.

• Representation theoryRelated: Representations model symmetries acting on quantum state spaces and classify possible particle states.

• Euler's formulaRelated: Complex phases in quantum amplitudes are naturally expressed with exponentials.

• Complex exponentialRelated: Time evolution commonly includes complex exponential phase factors.

• OrthogonalityRelated: Orthogonal state vectors represent perfectly distinguishable quantum states.

• Georges LemaîtreRelated: Lemaître drew on ideas about atomic disintegration when imagining cosmic beginnings.

• Gustav KirchhoffRelated: The blackbody-radiation problem associated with Kirchhoff’s work became a key route toward quantum theory.

• AstrophysicsRelated: It explains the atomic transitions and particle behavior that shape stellar spectra and dense matter.

• Group representationRelated: Symmetry operators on quantum states form group representations.

• Functional analysisRelated: Hilbert spaces and operators provide the mathematical language of quantum states and observables.

• Physical chemistryRelated: It explains atomic structure, chemical bonds, and molecular spectra.

• Hermann WeylRelated: Weyl helped formulate its mathematical foundations using operators and symmetry.

• Linear operatorRelated: Linear operators encode measurable quantities and state evolution.

• Hydrogen spectrumRelated: Its treatment of the electron replaces the Bohr model’s fixed orbits with quantum states.

• Lyman seriesRelated: It explains why hydrogen emits discrete lines rather than a continuous range of wavelengths.

• Pure mathematicsRelated: Hilbert spaces and operator theory provide mathematical frameworks for its formulation.

• Max von LaueRelated: Laue’s diffraction work became part of the experimental evidence for wave behavior at microscopic scales.

• Zeno's paradoxesRelated: Quantum accounts of space, time, and measurement renew questions about whether classical assumptions apply universally.

• Baker–Campbell–Hausdorff formulaRelated: Noncommuting operators make the formula useful for combining quantum evolutions.

• Hamiltonian systemRelated: Hamiltonian operators govern time evolution in the standard formulation.

• Pieter ZeemanRelated: Later quantum theory explained spectral splitting through changes in quantized atomic states.

• Imaginary numberRelated: Quantum state amplitudes are complex, with imaginary components shaping their evolution.

• Modern physicsRelated: Its account of atomic and subatomic phenomena forms one central pillar of modern physics.

• Operator theoryRelated: Observables are modeled by operators on Hilbert spaces.

• PhysicistRelated: It is needed when classical laws fail at microscopic scales.

• RealityRelated: Its competing interpretations disagree about what quantum reality consists of.

• The Feynman Lectures on PhysicsRelated: Volume III presents quantum behavior through amplitudes, measurement, and two-state systems.

• Ado's theoremRelated: Lie algebra representations model continuous symmetries acting on quantum states.

• Vector notationRelated: Kets and component arrays represent states and vectors in Hilbert spaces.

• Chemical Physics & Physical ChemistryRelated: It explains atomic and molecular structure where classical physics fails.

• Engineering physicsRelated: Underlies technologies such as semiconductors, lasers, and quantum sensors.

• List of unsolved problems in physicsRelated: Its measurement problem raises foundational questions that remain disputed.

• Mathematical methods in physicsRelated: Its predictions rely on Hilbert spaces, eigenvalue problems, and complex amplitudes.

• Outline of physicsRelated: It supplies the rules governing microscopic systems beyond classical physics.