Worlds best powerpoint templates crystalgraphics offers more powerpoint templates than anyone else in the world, with over 4 million to choose from. Matter wave simple english wikipedia, the free encyclopedia. Pdf derivation of the missing equations of special. It reveals that matter wave associated with a moving particle is a photon wave which has longitudinal and transverse values. So, both matter and radiation should have the similar properties. We do this by extending the wave equation for classical fields to photons, generalize to nonzero rest mass particles. The debroglie wavelength will be our primary physics input for the development of quantum mechanics. It basically describes the wave nature of the electron.
Derivation of schrodinger and einstein energy equations. The derivation of schrodingers equation is not straight forward. Ghcc is the constant of spacetime, units are meters cubed per second, so we can warp spacetime but with this constraint. But in the end one cannot derive this relationship. A simplified discussion can be based on the wave equation. Dual behaviour of matter debroglie equation according to this, matter like radiation posses dual behavior i. The derivation of the timedependent equation is based on an \it a priori assumption equivalent to feynmans dynamical postulate.
Theyll give your presentations a professional, memorable appearance the kind of sophisticated look that todays audiences expect. Very low mass particles moving at speed less than that of light behaves like a particle and wave. Closely following the electromagnetic prototype of a wave equation, and attempting to describe the electron relativistically, he. What does wave nature or dual nature of matter mean. In 1905, einstein suggested that light has a dual character, and behaves both as a particle and a wave. According to debroglie hypothesis, the energy of the universe is in the form of matter and radiation. This means that photons, electrons possess both momentum as well as wavelength. So, matter should have wave which can be expressed as. The debroglie equations can be derived from the einsteins famous equation of energymass equivalence and planks theory of quantum radiation. To develop this derivation note that energy conservation can be expressed through the hamiltonian h, which is classically used to represent the total energy e of a particle in. Matter waves are hard to visualize, because we are used to thinking of matter as a physical object.
Can a small particle be at multiple places at the same time. As i understand it, the derivation begins with two of einsteins equations. Chapter 41 wave mechanics national tsing hua university. Its not that this work was the most significant, but, this. But then, the wave nature of electromagnetic radiation is called into question when it is involved in blackbody radiation, photoelectric e. We illustrate a simple derivation of the schrodinger equation, which requires only knowledge of the electromagnetic wave equation and the basics of einsteins special theory of relativity. Derivation of the nonlinear schrodinger equation from. This is the most significant equation since emcc and maybe ever. In quantum mechanics, a branch of physics, a matter wave is when you think of matter as a wave. Winner of the standing ovation award for best powerpoint templates from presentations magazine. Before i derive the equation, it is important to understand the debroglie hypothesis which i am sure you.1350 978 920 306 1168 583 1635 525 1062 1155 557 1084 499 1253 1052 367 1401 1067 50 1111 727 95 591 1327 1353 1513 250 485 995 958 541 317 711 298 262 585 1025 250