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Syllabus

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.

Course Curriculum

PARTICLE NATURE OF WAVE
Photoelectric Effect 01:08:00
Compton Effect 00:36:00
Pair Production 00:33:00
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
H ATOM
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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