Hydrogen atom and the schrodinger equation when schrodinger equation is solved for the electron in a hydrogen atom, the solution gives the possible energy states the electron can occupy and the corresponding. After albert einstein s photon theory became accepted, the question became whether this was true only for light or whether material objects also exhibited wave like behavior. Wave equation for matter reminiscent of maxwells equations for electromagnetic waves. It was always a wave in its own right, or a superposition of such waves, as described in the thesis, and it is on the thesis that we now concentrate. The trajectory, the positioning, and the energy of these systems can be retrieved by solving the schrodinger equation. How successful he was with the former is open to speculation. For macroscopic objects, the wave nature of matter is observable. It basically describes the wave nature of the electron. Taking for example a macro sized 100kg car moving at a speed of 100ms, will have a. Quantum physics i, lecture note 4 mit opencourseware.
The matter wave theory was gracefully incorporated by heisenberg s uncertainty principle. It seemed reasonable to wonder if electrons could also have a dual waveparticle nature. The davissongermer experiment proved beyond doubt the wave nature of matter by diffracting electrons through a crystal. In case my question is wrong, then please help me correct my thinking. By rearranging the momentum equation stated in the above section, we find a relationship between the wavelength. Thus, every object in motion has a wavelike character.
But then, the wave nature of electromagnetic radiation is called into question when it is involved in blackbody radiation, photoelectric e ect and such. Debroglie hypothesis in hindi, derivation and its numricals. It seemed reasonable to wonder if electrons could also have a dual wave particle nature. Oct 10, 2018 in this physics chemistry video in hindi for class 11, class 12 and b. The derivation of schrodingers equation is not straight forward.
Planck s investigation of the emission spectra of hot objects and the subsequent studies into the photoelectric effect had proven that light was capable of behaving both as a wave and as a particle. For larger objects, the wavelength gets smaller with the increasing size of the object, quickly becoming so small as to become unnoticeable which is why macroscopic objects in real life dont show wave. Using planck s theory which states every quantum of a wave has a discrete. The story i heard is that schrodinger went to switzerland with two goals. The guidedwave mechanical model of the electron is a generalization of traditional wave mechanics, and relativistic quantum mechanics in general, to four spatial dimensions. For nonrelativistic quantum physics the basic equation to be solved is the schr odinger equation. The waveparticle duality seems to used all the time to explain quantum mechanics to the public. The classical limit of wave quantum mechanics is analyzed. Apr 06, 2020 the schrodinger equation also known as schrodingers wave equation is a partial differential equation that describes the dynamics of quantum mechanical systems via the wave function. In this section, each stage is given a name and a main reference. The full paradox of particlewave duality is illustrated by the following two types of experiments. Plancks investigation of the emission spectra of hot objects and the subsequent studies into the photoelectric effect had proven that light was capable of behaving both as a wave and as a particle. Classical solution of the wave equation mn sergeenko the national. Interpretation of quantum mechanics by the double solution theory.
922 1304 1062 208 647 334 829 1332 1184 1188 1077 434 1148 1442 272 75 218 1278 1607 1571 588 444 221 1294 1107 426 219 1613 22 663 773 1565 1002 252 1492 781 492 751 119 632 1448 1163 590 329