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

• NewtonianismCompared with: Quantum mechanics marks a domain where classical Newtonian predictions no longer suffice.

• Niels Bohr InstituteNarrower topic: Research associated with the institute helped establish quantum mechanics as a central framework.

• Philip W. AndersonNarrower topic: His theories of electrons in solids apply quantum mechanics to many interacting particles.

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

• Wilhelm WienNarrower topic: Wien’s radiation research formed part of the path toward quantum theory.

• Arthur ComptonNarrower topic: Compton’s result helped establish the quantum account of electromagnetic radiation.

• Harold UreyNarrower topic: Quantum theory explains the isotope-dependent spectral shifts central to Urey’s discovery.

• Lester GermerNarrower topic: Electron waves became a foundational feature of the framework that Germer’s experiments supported.

• Maria Goeppert MayerNarrower topic: Quantized nuclear energy levels are the foundation of Mayer's model.

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

• No-cloning theoremNarrower topic: The theorem follows from the structure of quantum states and allowed physical evolution.

• Otto SternNarrower topic: Stern’s experiments helped establish quantum mechanics as an experimentally testable theory.

• Robert S. MullikenNarrower topic: Its principles supplied the mathematical basis for Mulliken’s account of molecular electrons.

• 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.

• Classical physicsCompared with: It replaces classical descriptions when quantum effects cannot be neglected.

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

• Helium compoundsNarrower topic: Accurate predictions of weak helium binding require quantum treatment of nuclear motion and electrons.

• Hugh Everett IIINarrower topic: Everett treated quantum mechanics as universally applicable, including to observers and measuring devices.

• MechanicsCompared with: Classical mechanics fails to account for characteristic microscopic phenomena such as quantized energy.

• Pascual JordanNarrower topic: It is the broader theory whose early mathematical formulation Jordan helped establish.

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

• Geiger–Nuttall lawNarrower topic: The law’s empirical pattern acquired a physical explanation through quantum mechanics.

• George Paget ThomsonNarrower topic: Electron diffraction became evidence for the quantum theory’s wave description of particles.

• Johannes StarkCompared with: Stark rejected quantum theory’s modern development despite its success in explaining atomic spectra.

• John Hasbrouck Van VleckNarrower topic: Van Vleck used its rules to explain magnetic behavior that classical physics could not account for.

• Nikolay BasovNarrower topic: Basov’s devices relied on quantum transitions between discrete energy states.

• Paul EhrenfestNarrower topic: Ehrenfest critically examined the theory’s development and its relation to classical physics.

• Theoretical chemistryNarrower topic: It is the foundational theory from which molecular electronic models are built.

• Theory of relativityCompared with: Combining quantum mechanics with general relativity remains an unresolved theoretical challenge.

• Wave packetNarrower topic: Quantum particles are often represented by localized wave functions assembled from momentum components.

• Wigner's theoremNarrower topic: The theorem supplies a general rule for representing its state symmetries.

• History of atomic theoryNarrower topic: Modern atomic structure depends on quantum mechanics rather than classical electron orbits.

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

• Kramers' theoremNarrower topic: The theorem is a consequence of quantum-state symmetry and angular momentum.

• Magnetic resonanceNarrower topic: Quantized spin states explain the discrete absorption frequencies of nuclear resonance.

• 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.

• Rotational–vibrational spectroscopyNarrower topic: Quantized molecular states underpin the discrete transitions measured in rovibrational spectra.

• 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.

• BKS theoryNarrower topic: BKS was a transitional proposal soon superseded by the mature quantum theory.

• David ThoulessNarrower topic: Thouless applied quantum theory to collective behavior in materials and fluids.

• History of classical mechanicsCompared with: It replaces classical mechanics for microscopic systems where quantum effects dominate.

• History of physicsBroader topic: Its development transformed physics when classical theories failed at atomic scales.

• Interpretations of quantum mechanicsNarrower topic: Interpretations explain the physical meaning of this shared mathematical framework.

• Michio KakuNarrower topic: Quantum principles underpin the field theories Kaku studied.

• Quantum foamNarrower topic: Quantum uncertainty motivates replacing a perfectly smooth microscopic spacetime with fluctuating geometry.