BodhiAI

Sept. 23, 2019

Matter Waves (de-Broglie Waves)

Particle sometimes acts as a wave and sometimes as a particle.

The wave associated with moving particle is called matter wave or de-Broglie wave and it propagates in the form of wave packets with group velocity.

(1) de-Broglie wavelength:

Where h = planck’s constant, m = Mass of the particle, v = Speed of the particle, E = kinetic energy of particle.

(2) de-Broglie wavelength associated with the charged particle:

(3) de-Broglie wavelength associated with uncharged particles:

(4) Ratio of wavelength of photon and electron :

Characteristics of Matter Waves

(1) Matter wave represents the probability of finding a particle in space.

(2) Matter waves are not electromagnetic in nature.

(4) Practical observation of matter waves is possible only when the de-Broglie wavelength is of the order of size of the particles.

(5) Electron microscope works on the phenomena of de-Broglie waves.

The de-Broglie’s matter-wave concept is analogous to the Bohr’s hypothesis.