Wave-particle duality. Schrödinger equation (time-dependent and time-independent). Eigenvalue problems (particle in a box, harmonic oscillator, etc.). Tunneling through a barrier. Wave-function in coordinate and momentum representations. Commutators and Heisenberg uncertainty principle. Dirac notation for state vectors. Motion in a central potential: orbital angular momentum, angular momentum algebra, spin, addition of angular momenta; Hydrogen atom. Stern-Gerlach experiment. Timeindependent perturbation theory and applications. Variational method. Time dependent perturbation theory and Fermi’s golden rule, selection rules. Identical particles, Pauli exclusion principle, spin-statistics connection.
Spin-orbit coupling, fine structure. WKB approximation. Elementary theory of scattering: phase shifts, partial waves, Born approximation. Relativistic quantum mechanics: Klein-Gordon and Dirac equations. Semi-classical theory of radiation.
|PARTICLE NATURE OF WAVE|
|Cross-section of Photon Absorption and Scattering||00:22:00|
|WAVE NATURE OF PARTICLE|
|Wave Nature of Particle||01:22:00|
|H atom and X-rays||00:56:00|
|POSTULATES OF QUANTUM MECHANICS|
|Postulates of Quantum Mechanics||02:39:00|
|Problems on Postulates||00:46:00|
|SCHRONDINGER WAVE WQUATION|
|Applications of Schrodinger Wave Equation||03:11:00|
|Linear Harmonic Oscillator||00:29:00|
|Particle in Three Dimensional Box||00:34:00|
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