DEGENERACY IN HYDROGEN ATOM WITH AND WITHOUT SPIN ||QUANTUM MECHANICS || HINDI || скачать в хорошем качестве

DEGENERACY IN HYDROGEN ATOM WITH AND WITHOUT SPIN ||QUANTUM MECHANICS || HINDI ||

In this video you will get to know about the DEGENERACY IN HYDROGEN ATOM IN QUANTUM MECHANICS. .All description and this most important concept in quantum mechanics. In quantum mechanics, an energy level is degenerate if it corresponds to two or more different measurable states of a quantum system. Conversely, two or more different states of a quantum mechanical system are said to be degenerate if they give the same value of energy upon measurement The number of different states corresponding to a particular same energy level is known as the degree of degeneracy of the level. It is represented mathematically by the Hamiltonian for the system having more than one linearly independent eigenstate with the same energy eigenvalue. The physical origin of degeneracy in a quantum-mechanical system is often the presence of some symmetry in the system The degeneracy in a quantum mechanical system may be removed if the underlying symmetry is broken by an external perturbation. This causes splitting in the degenerate energy levels. Mathematically, the splitting due to the application of a small perturbation potential can be calculated using time-independent degenerate perturbation theory. This is very useful for the #csirnet #iitjam #gate #JEST #TIFR point of view. Notes on DEGENERACY IN HYDROGEN ATOM QUANTUM MECHANICS || for #IITJAM, #BHU , #CUCET , #DU , #HCU , #JNU, #CSIRNET\JRF , #GATE , #TIFR , #JEST entrance examination HYDROGEN ATOM QUANTUM MECHANICS | RADIAL EQUATION Highlight- Derivation for radial equation of hydrogen atom in quantum mechanics. Quantum mechanics now predicts what measurements can reveal about atoms. The hydrogen atom represents the simplest possible atom, since it consists of only one proton and one electron. The electron is bound, or confined. Actually Quantum Mechanical treatment of hydrogen atom means we have to solve Schroedinger's equation for the potential given in the problem.So first I have discussed the Hamiltonian of the hydrogen atom after reducing this two body problem into a one body problem using reduced mass concept. As we know the electron in hydrogen atom moves under coulomb potential of proton or electrostatic potential V(r) and this potential is central potential or spherically symmetric potential,So I have used spherical coordinates and as you may notice this potential is time independent ,hence I have used Time Independent Schroedinger's equation . And later using separation of variables I have reduced it into radial equation. There are some critical steps in the derivation in the end , however I have described them beautifully. I hope you guys will enjoy the lecture and in the upcoming lectures I will concentrate on the rest part like wave functions ,nodes, probability density, most probable value of r and expectation values of various powers of r and many more important features for hydrogen atom in quantum mechanics.