Wave particle duality of matter

Erwin Schrodinger (1887-1961 Nobel Prize for physics 1932) transferred the concept of wave-particle duality of matter developed by L. V. de Broglie for electrons to the whole atom and thus developed wave mechanics. The Schrodinger equation allows a description of orbitals as the probability of the location of the electrons. Wave mechanics represented a significant development, but were subsequently shown to be insufficient. 

The fact that atoms, electrons, nuclei, and other forms of matter have some properties that lead us to describe them as particles and other properties that we associate with waves is referred to as the wave-particle duality of matter. This wave-particle duality is hard to understand but it is a fact—a part of the world in which we live. 

Describe the wave-particle duality of matter and energy and the theories and experiments that led to it (particle wavelength, electron diffraction, photon momentum, uncertainty principle) ( 7.3) (SP 7.3) (EPs 7.27-7.34)... 

Thus electrons behave in some respects like particles and in other respects like waves. We are faced with the apparently contradictory wave-particle duality of matter (and of light). How can an electron be both a particle, which is a localized entity, and a wave, which is nonlocalized The qpswer is that an electron is neither a wave nor a particle, but something else. An accurate pictorial description of an electron s behavior is impossible using the wave or particle concept of classical physics. Hie concepts of classical physics have been developed from experience in the macroscopic world and do not properly describe the microscopic world. Evolution has shaped the human brain to allow it to understand and deal effectively with macroscopic phenomena. The human nervous system was not developed to deal with phenomena at the atomic and molecular level, so it is not surprising if we cannot fully understand such phenomena. 

The Wave-Particle Duality of Matter—The de Broglie Hypothesis... 

The uncertainty principle, an important relation that is a consequence of quantum mechanics, was discovered by the German physicist Werner Heisenberg (born 1901) in 1927. Heisenberg showed that as a result of the wave-particle duality of matter it is impossible to carry out simultaneously a precise determination of the position of a particle and of its velocity. He also showed that it is impossible to determine exactly the energy of a system at an instant of time. 

Electrons exhibit diffraction, just as light waves do, and photons exhibit transfer of momentum, just as objects do. This wave-particle duality of matter and energy is observable only on the atomic scale. 

In order to more completely understand reciprocal space relative to real space defined by Cartesian coordinates, we need to first recall the deBroglie relationship that describes the wave-particle duality of matter ... 

Neutrons demonstrate convincingly the wave-particle duality of matter and scattering experiments exploit both aspects of their behavior. A typical cold neutron with incident particle velocity vq — 750 m s has a wavelength of 5.3 A (via the de... 

The wave-particle duality of matter is expressed in the De Broglie relationship... 

Actually, the wave-particle duality of matter allows designing new pathway from reactants (enzyme E and substrate S) to products (enzyme and product P) in a Brownian enzymic reaction (Brown, 1902)... 

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