University:
University of South Wales
Course:
NG3S921 | Advanced Semiconductors
Academic year:

2023
Views:

174

Pages:

3
Author:

Rebecca L.

Einglien uged quanhim theary to explain the variation of speufic heat capacity and temperative. 4. Bohr's atom model. Using Bohr's poshilates based on quantum theory Bohr explained the formation of hydrogen spectra [explained chap:] Fountlation of Quantum Mechanics. Planck, Bination and compton established that radiationg has dual nahue. [particle & warve nahae Louis de Broglie argued that this wave pastide dual nahere can be vapplied to material partides also. He told matter can also have dual nahure The waves associated with material partides are called matter warves. There wavelength is called de Broglie wavelength λ. λ= h Schrodinger developed a wave equation for matter waves. The 2 74+9m [E-V] 4 = 0 {Schrodinger wire h² 4=0 equation Wave function, 4 Introduchon:- The photo eledric effect, compton effect and pain Production effect exhibits particle-like characterstics of radiahon in addition to wave nahure de-Broglie Suggested that wave partide duality must be universal ie, wave particle quality paesent on light must also occur in matter. Inspored by de Broglie's hypothesis, Schorodinger constructed the theory of wave mechanics which deals with diynamics of microscopic particles. dstubed discubed the mokon of paardeş by means of wave funchon (tort)) which corresponds to de Broghe wave of particle. He Note nilot only microscopic parbele such as ē, display wave behavior, macroscopic particles also exhibet wave behavior. The corresponding wavelength of macroscopic Particles are too small being very massive so we can't dotect the waves By using a wave funchon, 99,0) to descube material particles such as electon, quantum mechanicg cam Simultaneously make statements about both wave and particle behavior of microscopic particle system Physical Significance of warve funchon. 4 has no physical significance 4 was considered as an auxillary mathermatical quantity used for the calculation of experimental results There are 2 physical interpretation of 4- (1) Schrodinger's interpretation of 4: Here wave function is ar charge density a measure of particle densit • Far Em cwanie, the energy density is proportional to the square of the amplitude, a of the wave Energy density da Energy density energy per unit volume. • If energy of photon = E = b, Then no: of photong pay unet Volume = Thus, + Energy density Photon density = a² ue; phon photon density & (Amplitude)² 2 -Parhle density no: of partides per cinet Volume If 4 is the amplitude of de Broghe wave, Then Pho particle density a 1412 α 1412 particle, e Charge density 2 141x charge of a Thus Square of 4 is a measure of particle density and charge density

Quantum Mechanics Notes: Bohr Atom Model

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