Schrodinger equation
Wavefunction evolution law
The Schrödinger equation is the fundamental equation of quantum mechanics, describing how the quantum state of a physical system evolves over time.
It governs the behavior of particles at atomic and subatomic scales, where classical physics fails.
The equation's solutions are wave functions that give the probability of finding a particle in a given location.
Named for physicist Erwin Schrödinger, it underpins modern understanding of atoms, molecules, and solid-state physics.
Quantum system's complete description
- eigenvaluesTransformation scaling constants
- operatorsThose who manage equipment
- boundary conditionsValues specified at limits
- normalizationAdjusting to a standard
Quantified chance of occurrence
- measurementDetermining size or amount
- collapseSudden structural failure
- Copenhagen interpretationStandard quantum measurement theory
- superpositionCoexisting in multiple states
coherence · decoherence · uncertainty principle · complementarity · hidden variables · entanglement
Gradations of physical vitality
- spectroscopyStudy of light-matter interaction
- atomic structureInternal composition of atoms
- angular momentumRotational motion quantity
- spinRapid rotation around axis
selection rules · emission spectrum · photon · transition · chemical bonding · valence electrons · hybridization
Not varying with time
- time-dependentChanging over duration
- tunnelingDigging underground passages
- hydrogen atomSmallest elemental particle
- reflectionReturned light or thought
wave function
Quantum system's complete description
- eigenvaluesTransformation scaling constants
- operatorsThose who manage equipment
- boundary conditionsValues specified at limits
normalization · commutator · observables · complex numbers · psi
probability
Quantified chance of occurrence
- measurementDetermining size or amount
- collapseSudden structural failure
- Copenhagen interpretationStandard quantum measurement theory
superposition · coherence · decoherence · uncertainty principle · complementarity · hidden variables · entanglement
energy levels
Gradations of physical vitality
- spectroscopyStudy of light-matter interaction
- atomic structureInternal composition of atoms
- angular momentumRotational motion quantity
spin · selection rules · emission spectrum · photon · transition · chemical bonding · valence electrons · hybridization
time-independent
Not varying with time
- time-dependentChanging over duration
- tunnelingDigging underground passages
- hydrogen atomSmallest elemental particle
reflection · nodes · ground state · excited state · degeneracy
- physicsphysics, momentum, atom, acceleration, gravity
- EponymsDarwinian, Alzheimer's disease, Freudian slip, cardigan, Parkinson's disease
- equationsquadratic formula
- Formulaschemical formula, quadratic formula, empirical formula, area formula, volume formula
- PDEsDirichlet problem, boundary conditions, initial conditions, conservation laws
- Quantum Mechanicssuperposition, entanglement, wave function, uncertainty principle, quantum states
Schrodinger equationNewton's laws of motion
Rules governing force and acceleration
classical mechanics · Newtonian mechanics · Newton's second law · Boltzmann equation
Schrodinger, equation, equations, equate, equated, equating, equality, equalize, equally