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The 100 pages that link to Schrödinger equation, each with the reason it gives.

• Quantum mechanicsRelated: It specifies continuous state evolution between measurements.

• Quantum stateRelated: For an isolated system, it specifies how the state changes continuously over time.

• Atomic orbitalRelated: Solving it for an atomic potential yields the orbital wavefunctions and energies.

• Hydrogen atomRelated: Solving it for hydrogen yields the atom’s bound-state wavefunctions and energies.

• Many-worlds interpretationRelated: Its uninterrupted evolution is the central dynamical rule in many-worlds.

• Born ruleRelated: Born's interpretation assigns probabilities to solutions of wave mechanics.

• Density functional theoryRelated: Ground-state density functional theory is built to recover the ground-state energy of this quantum problem.

• Quantum chemistryRelated: Molecular calculations begin by describing electrons and nuclei through quantum states.

• WavefunctionRelated: It specifies the time evolution of wavefunctions in nonrelativistic quantum mechanics.

• Energy levelRelated: Solving its stationary form yields allowed energy levels for many systems.

• Euler–Lagrange EquationRelated: A suitable action for a quantum field yields this equation through field variations.

• LaplacianRelated: Its kinetic-energy term is proportional to the Laplacian in position space.

• Reduced Planck constantRelated: ℏ controls the relation between a quantum state's time evolution and its energy.

• Cauchy problemRelated: A wavefunction at an initial time determines its later evolution under the equation.

• Measurement problemRelated: Its unitary evolution preserves superpositions, creating one side of the conflict.

• Bloch's theoremRelated: Bloch's theorem constrains the stationary states when the Hamiltonian contains a periodic potential.

• Canonical commutation relationRelated: The canonical algebra supports its operator formulation and the resulting dynamics.

• Dispersion relationRelated: For a free particle, its quadratic dispersion produces wave-packet spreading.

• Pilot-wave theoryRelated: Its evolving wavefunction guides particle motion in the theory.

• Wave functionRelated: It specifies how a wave function changes over time when the system evolves.

• Atomic energy levelRelated: Solving it for an atom produces its allowed electronic energies.

• Canonical quantizationRelated: Canonical quantization of a particle’s Hamiltonian yields this equation of motion.

• Hamiltonian (quantum mechanics)Related: The Hamiltonian appears in its time-dependent form as the generator of state evolution.

• Quantum wellRelated: Solving it for the well’s potential gives the confined carrier states.

• Linear differential equationRelated: Its evolution equation is linear in the wavefunction.

• Eigenvalue problemRelated: Its stationary form is an eigenvalue problem for allowed energy levels.

• Imaginary unitRelated: The imaginary unit appears explicitly in its time-evolution equation.

• Matter waveRelated: It gave mathematical dynamics to the wave description of matter.

• Separation of variablesRelated: Separable potentials allow multidimensional quantum states to be built from one-dimensional factors.

• Helmholtz equationRelated: At fixed energy, its time-independent form becomes a Helmholtz-type equation.

• p orbitalRelated: Atomic orbital shapes arise as solutions to this equation for electrons bound to nuclei.

• Quantum theoryRelated: It specifies continuous state evolution between measurements in nonrelativistic quantum mechanics.

• WKB approximationRelated: The one-dimensional stationary equation is the standard setting for quantum WKB.

• Hamiltonian operatorRelated: The Hamiltonian determines the generator of time evolution in its time-dependent form.

• Hydrogen-like atomRelated: Solving it for a Coulomb potential yields the hydrogen-like atom’s wavefunctions and energy levels.

• Nearly-free-electron modelRelated: Solving it with a periodic potential yields the model's electron states.

• Wave mechanicsRelated: It supplies the central dynamical law for wavefunctions.

• Wigner’s friendRelated: Wigner can apply this unitary evolution to the entire laboratory, including the friend.

• Bohr radiusRelated: Its hydrogen ground-state wavefunction has a radial scale equal to the Bohr radius.

• Linear combination of atomic orbitalsRelated: Molecular orbitals constructed by LCAO are approximate solutions to this equation.

• Particle in a boxRelated: Its stationary form determines the particle’s allowed wavefunctions and energies.

• Spherical coordinate systemRelated: Spherical coordinates separate variables for quantum systems with central potentials.

• Momentum operatorRelated: Momentum enters its Hamiltonian through kinetic energy and through coupling to fields.

• Hugh Everett IIIRelated: Its uninterrupted evolution is central to Everett’s account of measurement.

• Atomic unitsRelated: Atomic units remove several constants from its nonrelativistic form for atomic systems.

• Theoretical chemistryRelated: Its molecular solutions underpin predictions of electronic structure and chemical properties.

• Wave packetRelated: Its solutions show how a quantum wave packet spreads or propagates.

• De Broglie–Bohm theoryRelated: Bohmian theory retains its standard evolution for the guiding wave.

• Quantum potentialRelated: Rewriting it in amplitude-and-phase form yields the quantum potential term.

• Time derivativeRelated: Its time-dependent form relates the state vector's time derivative to energy.