De Broglie wavelength is the wavelength associated with a particle, proposed by Louis de Broglie in his theory of wave-particle duality. It is a fundamental concept in quantum mechanics that describes the wave-like nature of matter.
The formula for calculating De Broglie wavelength is λ = h/mv, where λ is the De Broglie wavelength, h is Planck's constant, m is the mass of the particle, and v is its velocity.
The significance of De Broglie wavelength is that it bridges the gap between the classical and quantum world by showing that matter particles behave as both particles and waves. It also helps in understanding the behavior of particles at the atomic and subatomic levels.
De Broglie wavelength and momentum are inversely proportional to each other. This means that as the momentum of a particle increases, its De Broglie wavelength decreases, and vice versa.
De Broglie wavelength has been experimentally verified through various experiments, such as the Davisson-Germer experiment and the double-slit experiment. These experiments showed that particles, such as electrons, exhibit wave-like behavior and have a corresponding De Broglie wavelength.