Schrodinger's equation
Wavefunction evolution law
Schrödinger's equation is the fundamental equation of quantum mechanics, describing how the quantum state of a physical system evolves over time.
The equation treats particles as waves, with solutions called wave functions that encode the probability of finding a particle in a given location.
Solving Schrödinger's equation for the hydrogen atom yields its electron orbitals.
Named for Austrian physicist Erwin Schrödinger, who formulated it in 1925.
Physics at nanoscopic scales
- Heisenberg uncertainty principleFundamental quantum measurement limit
- Copenhagen interpretationStandard quantum measurement theory
Coexisting in multiple states
- quantum tunnelingSubatomic passage through classically forbidden regions
- energy levelsGradations of physical vitality
- quantizationConversion to discrete values
- entanglementState of being intertwined
interference · diffraction · hydrogen atom · atomic orbitals · spectral lines · collapse · decoherence
Quantum system's complete description
- eigenvaluesTransformation scaling constants
- time-dependentChanging over duration
- time-independentNot varying with time
- boundary conditionsValues specified at limits
normalization · linear algebra · complex numbers · amplitude · potential energy · kinetic energy · psi · commutator
quantum mechanics
Physics at nanoscopic scales
- Heisenberg uncertainty principleFundamental quantum measurement limit
- Copenhagen interpretationStandard quantum measurement theory
superposition
Coexisting in multiple states
- quantum tunnelingSubatomic passage through classically forbidden regions
- energy levelsGradations of physical vitality
- quantizationConversion to discrete values
entanglement · interference · diffraction · hydrogen atom · atomic orbitals · spectral lines · collapse · decoherence
wave function
Quantum system's complete description
- eigenvaluesTransformation scaling constants
- time-dependentChanging over duration
- time-independentNot varying with time
boundary conditions · normalization · linear algebra · complex numbers · amplitude · potential energy · kinetic energy · psi · commutator · observable
electron
Negative subatomic particle
proton · neutron · hydrogen · helium · subatomic · fermion · boson · spin · angular momentum
Schrodinger's equationNewton's laws of motion
Rules governing force and acceleration
classical mechanics · Newtonian mechanics · Boltzmann equation · Newton's second law
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