Klein–Gordon Equation

Quantum Field Theory · 1926

Equation: (□ + (mc/ℏ)²)φ = 0
Field: Quantum Field Theory
Named After: Oskar Klein · Walter Gordon
Year: 1926

Symbols

φ a scalar field · □ the d'Alembertian, ∂²/c²∂t² − ∇² (the wave operator of spacetime) · m the field quantum's mass · ℏ, c the usual constants

Significance

The first relativistic quantum equation — the wave equation and E = mc² fused into one. Set aside when it seemed to misbehave for electrons (Dirac fixed that), it returned as the equation every spinless field obeys, the Higgs included.

Theories

The Standard Model Quantum Chromodynamics Quantum Electrodynamics

Schrödinger Equation Higgs Potential Mass–Energy Equivalence Wave Equation

Constants

Reduced Planck constant Speed of light in vacuum

Referenced by

constant

Reduced Planck constant Speed of light in vacuum

equation

Higgs Potential Mass–Energy Equivalence Schrödinger Equation Wave Equation

theory

Quantum Chromodynamics Quantum Electrodynamics The Standard Model

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From the Equations database in Notion, last edited 2026-08-15. This page is the row, rendered by the build; nothing on it is written by hand.