Question

what is debroglie hypothesis of a mttaer wave in quantum mechanics​

Answer 1

De-Broglie Hypothesis of Matter Waves. In 1924, Louis de-Broglie suggested that similar to light dual nature "every moving matter has a associated wave" The wave associated with the moving particle is known as matter wave or de-Broglie wave.

So in order to derive the de Broglie wavelength we first relate the energies of the two terms: Matter and Wave. which is Einstein's mass energy relation. from Plank's theory of radiation. λ=h/mv, which is the de Broglie equation.

Answer 2

Answer:

The de Broglie hypothesis of a matter-wave in quantum mechanics​ gives the

dual nature of matter

Explanation:

The de-Broglie hypothesis gives beautiful information about matter waves, that is it has dual nature

When the matter is moving with velocity sometimes it acts as a particle or a wave

The matter-wave is the superposition of a lot of waves, it constructively interferes where the matter is present.

According to the de-Broglie hypothesis, the wavelength of a matter wave is

λ =$h/p$

where Planck's constant $h=6.6*10^{-34}$

$p$- the momentum of the particle