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.

formalism

wave function

Quantum system's complete description

normalization · commutator · observables · complex numbers · psi

interpretation

probability

Quantified chance of occurrence

superposition · coherence · decoherence · uncertainty principle · complementarity · hidden variables · entanglement

atomic

energy levels

Gradations of physical vitality

spin · selection rules · emission spectrum · photon · transition · chemical bonding · valence electrons · hybridization

solutions

time-independent

Not varying with time

reflection · nodes · ground state · excited state · degeneracy

Categories
Opposites
mechanical framework

Schrodinger equationNewton's laws of motion

Rules governing force and acceleration

classical mechanics · Newtonian mechanics · Newton's second law · Boltzmann equation

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Schrodinger, equation, equations, equate, equated, equating, equality, equalize, equally

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