Mathematics, Physics. any differential equation that describes the propagation of waves or other disturbances in a medium.
Physics. any of the fundamental equations of quantum mechanics whose solutions are possible wave functions of a particle.
- Compare Schrödinger equation.
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How to use wave equation in a sentence
Quantum mechanics holds that quantities like charge and mass are quantized—made up of discrete, countable units that cannot be subdivided—but that things like space, time, and wave equations are fundamentally continuous.
British Dictionary definitions for wave equation
physics a partial differential equation describing wave motion. It has the form ∇²φ = (1/ c ²) × (∂²φ/∂ t ²), where ∇² is the Laplace operator, t the time, c the speed of propagation, and φ is a function characterizing the displacement of the wave
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
Scientific definitions for wave equation
A partial differential equation that describes the shape and movement of waves, given a set of boundary conditions (such as the initial shape of the wave, or the evolution of a force affecting the wave).
The fundamental equation of wave mechanics. See also Schrödinger's equation.
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