These two sets of phenomena are mutually exclusive in classical physics, but nevertheless are both needed in order to describe the possible behaviors of matter and light. Therefore one speaks of the wave-particle duality.
This duality also implies that light and electromagnetic radiation, which in classical physics are considered to be wave phenomena, can exhibit particle-like properties. Light has to be described as a wave in order to explain interference effects, whereas the photoelectric effect is usually explained with a particle model.
Dual descriptions of a physical system may have overlapping ranges of validity. In such regions of overlap, two dual theories will not give contradictory predictions. The wave-particle duality is only one example where this requirement applies. Other fields where duality is encountered in this sense are statistical mechanics and string theory.
Duality can lead to counterintuitive conclusions. For example, in quantum mechanics the wave property is assigned to a probability amplitude. The conceptual problem with this particle/probability construct is that when the particle is absorbed, the wave must instantaneously collapse throughout all space.
The wave particle duality principle of quantum physics holds that matter and light exhibit the behaviors of both waves and particles, depending upon the circumstances of the experiment.
The question of whether such duality also showed up in matter was tackled by the bold de Broglie hypothesis, which extended Einstein's work to relate the observed wavelength of matter to its momentum.
The major significance of the wave particle duality is that all behavior of light and matter can be explained through the use of a differential equation which represents a wave function, generally in the form of the Schrodinger equation.
In physics, wave-particle duality holds that light and matter exhibit properties of both waves and of particles.
The idea of duality is rooted in a debate over the nature of light and matter dating back to the 1600s, when competing theories of light were proposed by Christiaan Huygens and Isaac Newton.
Einstein was awarded the Nobel Prize in Physics in 1921 for his theory of the photoelectric effect.