Module 1 : History of Atomic & Molecular Physics and basic backgrounds
Lecture 4 : Quantization of radiation and matter: Wave-Particle duality
Matter Waves :
In 1924, Louis de Broglie first proposed the existence of matter waves.
He supported the wave-particle dual nature of radiation and proposed the existence of matter waves. In his hypothesis, he suggested that the wave aspect of the matter is related to its particle nature in the same quantitative way that is in case of radiation.
The total energy related to the frequency of the wave.
and the momentum p is related to the wavelength of the wave.
(4.8)
It is to be noted that the particle characteristics such as E and p are related to the wave characteristics like and with Planck’s constant h.
It is interesting to see that, if we calculate the de Broglie wavelength of a cricket ball of mass 0.5 Kg at a speed of 100 m/sec.
On the other hand the de Broglie wavelength of an electron with kinetic energy 100 eV.
related to the frequency 
of the wave.
of the wave.
and 
with Planck’s constant h. 
