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

• 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.

• Reduced Planck constantNarrower topic: ℏ is a defining scale throughout this broader theory.

• Eugene WignerNarrower topic: Wigner helped establish its mathematical structure and interpret its symmetries.

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

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

• Loop quantum gravityNarrower topic: The approach applies quantum principles to the geometry that general relativity treats classically.

• Microwave spectroscopyNarrower topic: Discrete rotational levels explain the line spectra that classical rotation cannot predict.

• Objective-collapse theoryNarrower topic: Collapse theories alter its usual dynamical laws to address definite outcomes.

• AtomNarrower topic: It explains why electrons occupy quantized states rather than classical orbits.

• Atomic emission spectrumNarrower topic: Its quantized states account for the discrete rather than continuous atomic spectrum.

• Atomic theoryNarrower topic: Modern atomic structure depends on quantum rules rather than classical planetary paths.

• Julian SchwingerNarrower topic: Its principles underlie Schwinger’s operator formulation of particle interactions.

• Louis de BroglieNarrower topic: De Broglie’s hypothesis became one of the foundations of this theory.

• Arnold SommerfeldNarrower topic: Sommerfeld’s old quantum theory helped prepare the problems and methods that the new theory resolved.

• Canonical commutation relationNarrower topic: The canonical relation is part of its mathematical framework for observables.

• Rayleigh–Jeans lawCompared with: Quantized oscillator energies prevent the unlimited high-frequency contribution predicted classically.

• William Rowan HamiltonNarrower topic: Hamiltonian mechanics supplied a mathematical framework that was later adapted to quantum theory.

• Stark effectNarrower topic: Its treatment of state mixing explains Stark patterns beyond early atomic models.

• Condensed matter physicsNarrower topic: Electron behavior in materials follows quantum rules, even when the resulting properties are macroscopic.

• Davisson–Germer experimentNarrower topic: The result became evidence for a central quantum description of matter.

• Henry MoseleyNarrower topic: Moseley’s spectral results became part of the evidence that atomic structure follows quantum rules.

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

• PhysicsBroader topic: It replaces classical certainty with probabilistic rules at small scales.

• Quantum information scienceNarrower topic: Its laws determine how quantum information can be encoded and manipulated.

• Basic researchBroader topic: Foundational investigations of atomic phenomena produced principles later used in many technologies.

• Clebsch–Gordan coefficientsNarrower topic: Quantum angular momentum gave the classical decomposition theorem its central physical role.

• Fritz LondonNarrower topic: Its principles supplied the framework for London’s quantum account of chemical bonds.

• Molecular mechanicsCompared with: Molecular mechanics replaces explicit quantum states with classical particles and fitted interactions.

• Satyendra Nath BoseNarrower topic: Bose’s statistical argument relied on quantum states and indistinguishable particles.

• Aspect's experimentCompared with: Aspect’s observed correlations agreed with quantum predictions rather than local Bell bounds.

• Atomic physicsNarrower topic: Atomic structure and electron behavior require its rules.

• Bohr magnetonNarrower topic: Modern quantum mechanics explains the spin and orbital moments measured in Bohr magnetons.

• Correspondence principleNarrower topic: The correspondence principle became a requirement on this broader theory.

• Moseley's lawNarrower topic: It provides the modern framework for deriving atomic energy levels and X-ray spectra.

• Relational quantum mechanicsNarrower topic: Relational quantum mechanics interprets this theory without changing its standard empirical predictions.

• Fermi's golden ruleNarrower topic: The rule is a result within quantum mechanics, not a classical rate law.

• James FranckNarrower topic: The experiment supplied direct evidence for the quantization central to the emerging theory.

• Kronecker deltaNarrower topic: Discrete quantum-state overlaps often equal one for matching labels and zero otherwise.

• Local hidden-variable theoryCompared with: Its predictions violate Bell inequalities, unlike the correlations allowed by local hidden-variable models.

• Planck epochCompared with: It captures quantum behavior but cannot alone describe the epoch’s expected quantum spacetime.

• Alain AspectNarrower topic: Aspect tested a distinctive prediction of quantum mechanics against local alternatives.

• Clinton DavissonNarrower topic: The electron diffraction result became a landmark confirmation of quantum theory.

• Franck–Hertz experimentNarrower topic: The experiment’s discrete collision energies anticipated a central feature of quantum descriptions of atoms.

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

• Particle in a boxNarrower topic: The box is a simple model for its rules of states and measurement.

• SuperconductorNarrower topic: Superconductivity depends on quantum coherence across macroscopic numbers of particles.

• Analytical mechanicsNarrower topic: Classical analytical structures inform quantum theory, but quantum dynamics changes the physical framework.

• Johannes RydbergNarrower topic: Quantum theory ultimately explained why atomic spectra form discrete, orderly lines.

• John Archibald WheelerNarrower topic: Wheeler’s nuclear research relied on quantum descriptions of nuclei and their reactions.