When in motion, electrons (indeed, all sub-atomic particles) exhibit wave-like properties such a destructive and constructive interference. In the same way that EM radiation (ie, light) going through two slits will result in an interference pattern at a detector behind the two slits, electrons going through two slits will result in exactly the same kind of pattern -- even if the electrons go through the slits one at a time. The wavelength (λ) of a moving electron is given by
λ = h/p
where 'h' is Planck's Constant and 'p' is the electron's momentum.
The calculation of the PROBABILITY of an electron, when within a specific energy field, being in a specific place is best calculated using the Schroendinger Equation. If you research this equation, you'll find two things: (1) it's an equation that gives results resembling a wave and (2) scientists still argue WHAT (if anyone) is actually waving. We still haven't decided if an electron's wavelength is a physical reality (like photons) or just a mathematical trick we use for simplicity.
de Broglie equation which links mass of an object with its wavelenght.
In 1927, American physicist Clinton Davisson and British physicist George Thomson independently observed diffraction patterns after passing electron beams through metals. This agreed with the de Broglie equation for electron waveleghts.
quantum theory
The official definition for the word wave function is "a function that satisfies a wave equation and describes the properties of a wave."
De Broglie
De Broglie
De Broglie
In some experiments, light appeared to have wave properties, but in others, it appeared to have particle properties. The two ideas were believed to be in conflict - light was believed to be either one or the other. However, today it is accepted that light has both particle and wave properties.
The official definition for the word wave function is "a function that satisfies a wave equation and describes the properties of a wave."
No. Wave properties of light and electrons are well supported by experimental evidence.
De Broglie
De Broglie
The Electron Microscope
De Broglie
According to the modern theory of quantum mechanics the electrons have a vibrating wave character and hence uncertain positions.Sometimes,they are close to the nucleus and sometimes away from it.Thus we can say that the paths of motion of electrons around the nucleus are not definite
He proposed the wave-particle duality for the electrons.
In some experiments, light appeared to have wave properties, but in others, it appeared to have particle properties. The two ideas were believed to be in conflict - light was believed to be either one or the other. However, today it is accepted that light has both particle and wave properties.
this is a much more complicated question than perhaps you realise. try looking up "wave particle duality" photons have the strange characteristic of haveing properties of both a wave and a particle.
The concept of light propagation, the transmission of light along an optical fiber, can be described by two theories. According to the first theory, light is described as a simple ray. This theory is the ray theory, or geometrical optics, approach. The advantage of the ray approach is that you get a clearer picture of the propagation of light along a fiber. The ray theory is used to approximate the light acceptance and guiding properties of optical fibers. According to the second theory, light is described as an electromagnetic wave. This theory is the mode theory, or wave representation, approach. The mode theory describes the behavior of light within an optical fiber. The mode theory is useful in describing the optical fiber properties of absorption, attenuation, and dispersion
You think probable to a wave function.