Special Topics in Atomic Physics with Prof. Deshmukh

Course Description

The course will begin with the identification of a complete set of compatible observables for the non-relativistic Hydrogen atom, identify the complete set of 'good quantum numbers', discuss the associated constants of motion, and associated symmetries. The Laplace-Runge-Lenz vector and the Fock SO(4) symmetry of the Hydrogen atom will be discussed.
This will be followed by a discussion on coupling of Angular Momenta, Clebsch-Gordan Coefficients, Statement and Proof the Wigner-Eckart Theorem.
We shall then discuss the relativistic Hydrogen atom, Dirac equation. Foldy-Wouthuysen Transformation of Dirac Hamiltonian and Lamb shift.
Subsequently, the many-electron atom will be discussed to acquire an understanding of the Hartree-Fock Self-Consistent Field Formalism.
We shall then examine a Perturbative approach to relativistic effects; this would provide insight in the relativistic quantum mechanics discussed in an earlier unit based on the Dirac equation.
We shall then proceed to discuss methods to probe the atom. The methods are based on the alternative probes which use quantum collisions of atomic targets with probe particles and probing the atom with an electromagnetic field. We shall discuss the connections of these methods through the time-reversal symmetry and obtain the quantum solutions using appropriate boundary conditions. We shall obtain expressions for scattering cross sections, and also for photoionization cross-section and the angular distribution of the photoelectrons.
We shall then examine the quantum mechanics of atoms in external fields and study the Stark effect, and also the family of ZEEMAN effect spectroscopies. A brief introduction to the hyperfine structure and its applications in laser cooling of atoms, BEC, atomic clocks etc. will be pointed out.

Special Topics in Atomic Physics with Prof. Deshmukh
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Video Lectures & Study Materials

Visit the official course website for more study materials: http://nptel.ac.in/syllabus/115106057/

# Lecture Play Lecture
1 Introductory lecture about this course (43:06) Play Video
2 Quantum Mechanics and Symmetry of the Hydrogen Atom (46:39) Play Video
3 Hydrogen atom: Rotational and Dynamical Symmetry of the 1/r Potential (50:01) Play Video
4 Hydrogen atom: Dynamical Symmetry of the 1/r Potential (55:14) Play Video
5 Degeneracy of the Hydrogen Atom: SO(4) (51:11) Play Video
6 Wavefunctions of the Hydrogen Atom (1:01:12) Play Video
7 Angular Momentum in Quantum Mechanics (49:40) Play Video
8 Angular Momentum in Quantum Mechanics (43:52) Play Video
9 Angular Momentum in Quantum Mechanics (41:44) Play Video
10 Angular Momentum in Quantum Mechanics Dimensionality of the Direct (49:10) Play Video
11 Angular Momentum in Quantum Mechanics CGC matrix (47:47) Play Video
12 Angular Momentum in Quantum Mechanics - more on ITO, and the Wigner-Eckart Theorem (46:15) Play Video
13 Angular Momentum in Quantum Mechanics Wigner-Eckart Theorem - 2 (43:37) Play Video
14 Hartree-Fock Self-Consistent Field formalism - 1 (53:42) Play Video
15 Hartree-Fock Self-Consistent Field formalism - 2 (57:52) Play Video
16 Hartree-Fock Self-Consistent Field formalism - 3 (46:56) Play Video
17 Hartree-Fock Self-Consistent Field formalism - 4 (49:36) Play Video
18 Hartree-Fock Self-Consistent Field formalism - 5 (1:02:46) Play Video
19 Perturbative treatment of relativistic effects... Schrodinger's and Dirac QM (41:34) Play Video
20 Perturbative treatment of relativistic effects... Schrodinger's and Dirac QM (47:15) Play Video
21 Probing the atom - Collisions and Spectroscopy - boundry conditions - 1 (56:10) Play Video
22 Atomic Probes - Collisions and Spectroscopy - boundry conditions - 2 (52:51) Play Video
23 Atomic Probes - Collisions and Spectroscopy (50:34) Play Video
24 Atomic Probes - Time reversal symmetry (48:13) Play Video
25 Atomic Photoionization cross sections, angular distributions of photoelectrons - 1 (37:00) Play Video
26 Atomic Photoionization cross sections, angular distributions of photoelectrons - 2 (59:23) Play Video
27 Atomic Photoionization cross sections, angular distributions of photoelectrons - 3 (39:01) Play Video
28 Atomic Photoionization cross sections, angular distributions of photoelectrons - 4 (43:19) Play Video
29 Atomic Photoionization cross sections (50:51) Play Video
30 Stark- Zeeman Spectroscopy - Stark effect (49:40) Play Video
31 Stark- Zeeman Spectroscopy (46:18) Play Video
32 Stark- Zeeman Spectroscopy (56:45) Play Video
33 Stark- Zeeman Spectroscopy - Anomalous Zeeman effect (42:32) Play Video
34 Zeeman effect Fine structure, Hyperfine structure (50:10) Play Video
35 Relativistic Quantum Mechanics of the Hydrogen Atom (53:23) Play Video
36 Relativistic Quantum Mechanics of the Hydrogen Atom (58:06) Play Video
37 Relativistic Quantum Mechanics of the Hydrogen Atom (51:12) Play Video
38 Relativistic Quantum Mechanics of the Hydrogen Atom - 2 (57:21) Play Video
39 Relativistic Quantum Mechanics of the Hydrogen Atom (45:47) Play Video
40 Relativistic Quantum Mechanics of the Hydrogen Atom - 1 (48:05) Play Video

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