what ie the matter wave ? what do u understand by in phase and out phase wave ? calculate the wave length associated with a body of mass 1.5kg moving with a velocity 100 ms per second
Answers
Answered by
1
In 1924 Louis de Broglie, a French physicist, hypothesized the existence of Matter Waves corresponding to every particle, whose wavelength would be inversely proportional to the momentum of the particle.
λmatter = h / p
(where h is the Planck's constant and p is the momentum)
Experiments conducted by Davisson and Germer at Bell Labs in 1927, conclusively proved the wave nature of particles. The duo fired electrons at a crystallized nickel target to observe wave-like diffraction patterns. Till date, such a pattern was only observed for light waves. Thus it was conclusively proved that particles behave like waves and vice versa.
In 1926, Erwin Schrödinger formulated an equation that described the behavior of these matter waves. He successfully derived the energy spectrum of Hydrogen atom, by treating orbital electrons as standing matter waves. Max Born interpreted the square of amplitude of these waves to be the probability of finding associated particles in a localized region. All these developments led to the establishment of quantum mechanics as a scientific theory, well grounded in experiment and formalism. The wavefunction describing any particle in quantum mechanics is a matter wave, whose form is computed through the use of Schrödinger equation. Ergo, matter waves form the central most important feature of quantum mechanics.
λmatter = h / p
(where h is the Planck's constant and p is the momentum)
Experiments conducted by Davisson and Germer at Bell Labs in 1927, conclusively proved the wave nature of particles. The duo fired electrons at a crystallized nickel target to observe wave-like diffraction patterns. Till date, such a pattern was only observed for light waves. Thus it was conclusively proved that particles behave like waves and vice versa.
In 1926, Erwin Schrödinger formulated an equation that described the behavior of these matter waves. He successfully derived the energy spectrum of Hydrogen atom, by treating orbital electrons as standing matter waves. Max Born interpreted the square of amplitude of these waves to be the probability of finding associated particles in a localized region. All these developments led to the establishment of quantum mechanics as a scientific theory, well grounded in experiment and formalism. The wavefunction describing any particle in quantum mechanics is a matter wave, whose form is computed through the use of Schrödinger equation. Ergo, matter waves form the central most important feature of quantum mechanics.
Similar questions