who predicted that all matter can behave as waves
Matter wave Matter waves are a central part of the theory of quantum mechanics, being an example of wave–particle duality. All matter can exhibit wave-like behavior. For example, a beam of electrons can be diffracted just like a beam of light or a water wave. The concept that matter behaves like a wave, proposed by Louis de Broglie in 1924, is also referred to as the de Broglie hypothesis (/dəˈbrɔɪ/).[1] Matter waves are referred to as de Broglie waves.
Quantum mechanics Quantum mechanics gradually arose from the necessity of discrete energy values in Max Planck's solution in 1900 to the black-body radiation problem, and from the necessary correspondence between energy and frequency in Albert Einstein's 1905 paper which offered a quantum-based theory to explain the photoelectric effect. Early quantum theory was profoundly re-conceived in the mid-1920s by Erwin Schrödinger, Werner Heisenberg, Max Born and others. The modern theory is formulated in various specially developed mathematical formalisms. In one of them, a mathematical function, the wave function, provides information about the probability amplitude of position, momentum, and other physical properties of a particle.