Indian Academy of Sciences, Bangalore Indian National Science Academy, New Delhi The National Academy of Sciences, India, Allahabad

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1 Indian Academy of Sciences, Bangalore Indian National Science Academy, New Delhi The National Academy of Sciences, India, Allahabad Refresher Course on Applications of Quantum Mechanics to 'Atoms, Molecules and Radiation' Venue: Indian Academy of Sciences, 8 to 20 December COURSE TIME TABLE (Tentative) Date December (Monday) Registration and Introduction L (AK) 1.2 L (AK) 1.3 L (UD) 1.1 T (AK) 9 December (Tuesday) 1.4 L (AK) 1.5 L (UD) 1.2 T (AK) 1.3 T (UD) 10 December (Wednesday) 11 December (Thursday) 12 December (Friday) 13 December (Saturday) 1.6 L (AK) 1.7 L (UD) 1.4 T (AK) 1.5 T (UD) PP 2.1 L (UD) 2.2 L (UD) 2.1 T (AK) 2.2 T (UD) 2.3 L (UD) 2.4 L (UD) 2.3 T (AK) 2.4 T (UD) XX 2.5 L (AK) 2.6 L (AK) 2.5 T (UD) 2.6 T (AK) 14 December (Sunday) Holiday 15 December (Monday) 3.1 L (AR) 4.1 L (SG) 3.1 T (AR) 4.1 T (SG) 16 December (Tuesday) 17 December (Wednesday) 18 December (Thursday) 19 December (Friday) 20 December (Saturday) 3.2 L (AR) 4.2 L (SG) 3.2 T (AR) 4.2 T (SG) XX 3.3 L (AR) 4.3 L (SG) 3.3 T (AR) 4.3 T (SG) 3.4 L (AR) 4.4 L (SG) 3.4 T (AR) 4.5 L (BD) PP 3.5 L (AR) 4.6 L (BD) 3.5 T (AR) 4.4 T (BD) 3.6 L (AR) 4.5 T (BD) 3.6 T (AR) Valedictory Lunch break: hrs Coffee/Tea break: & hrs Group photograph: 20 December (to be confirmed) P.T.O.

2 Explanation: 1.1 L means Lecture 1 of Module 1; 2.3 T means Tutorial 3 of Module 2, etc. Resource Persons UD Professor Usha Devi, Bangalore University AR BD SG Professor A. Rangwala, University of Mumbai Professor B.M. Deb, Visva-Bharti, Santiniketan Professor Swapan K. Ghosh, Centre for Basic Sciences, Mumbai XX - Expository talk on science PP - Participants' presentation AK Professor Arvind Kumar, Centre for Basic Sciences, Mumbai Topics for Lectures and Tutorials The following topics are expected to be covered under different modules of the Course through lectures and tutorials, not necessarily in the order given here. See Notes at the end. Module 1: Basics of Quantum Mechanics 1 Motivation for QM and its physical basis. 2 Mathematical background I: Fourier transforms, Delta function. 3 Schrodinger equation (time-dependent and time-independent); notion of bound and scattering states; motion of a wave packet. 4 Illustrative one-dimensional problems; linear oscillator (wave mechanical treatment). 5 Mathematical background II: Linear vector space theory (hermitian and unitary operators, eigen functions and eigen values, commuting operators, degeneracy, basis and matrix representations). 6 Interpretative postulates; common observables (r, p, L, H, parity P, etc.), periodic and delta-function normalization, etc. 7 Abstract formulation, Dirac notation, representations, Schrodinger and Heisenberg pictures, linear oscillator (matrix treatment). 8 Stationary perturbation theory, Variational method. 9 Time-dependent perturbation theory.

3 Module 2: Atoms 1 Angular momentum theory (including addition of angular momenta for simple cases); Wigner Eckart theorem. 2 Hydrogen-like atoms (solutions for pure Coulomb potential), orbitals. 3 Spin orbit coupling, fine structure, hyperfine structure. 4 Helium atom, ground state energy, excited states, antisymmetrization. 5 Multi-electron atoms I: central potential, atomic orbitals, the Periodic Table. 6 Multi-electron atoms II: Thomas Fermi model, Hartree s method (qualitative). 7 Zeeman effect. 8 L-S and j-j coupling schemes. 9 Ortho and para hydrogen. Module 3: Interaction of electromagnetic radiation with atoms 1 Semi-classical theory of electromagnetic radiation with atoms. 2 Einstein A and B coefficients. 3 Electric dipole interaction and selection rules in one-electron atoms. 4 Rabi oscillations and the effect of decay of levels. 5 Classical electromagnetic field: Lorentz and radiation gauge; Fourier decomposition. 6 Quantum theory of radiation: photon creation, annihilation and number operators. 7 Absorption and emission of photons by atoms. 8 Thomson scattering. 9 Jaynes Cummings model. Module 4: Molecules 1 Hydrogen molecule ion; Born Oppenheimer approximation; Hydrogen molecule 2 Basics of molecular orbital and valence bond theories 3 Homonuclear and heteronuclear diatomic molecules 4 Polyatomic molecules; concept of hybridization 5 Electron density and the Hellmann Feynman theorem; applications to chemical binding 6 Elementary notions of symmetry; symmetry-adapted molecular orbitals for polyatomic molecules 7 Explanation and prediction of molecular geometry including Jahn Teller effect 8 Spectroscopic selection rules 9 Molecular reactivity

4 Notes: 1. A few topics may be added to or deleted from the above list depending on the availability of time. 2. The division between lectures and tutorials shown in the time table is notional and will be at the discretion of the concerned resource person. 3. There will be 2 or 3 expository evening talks by invited scientists on general topics not necessarily linked to the Course content. (Details will be announced in the beginning of the course.) 4. There will be 2 or 3 evening sessions where participants will be encouraged to give small group presentations on the topics of their interest related to the Course. (Details will be worked out during the course.) 5. There will be a brief introductory session on Dec 8, 2014 at 9.00 A.M. to apprise the participants about the nature of the Course and other details. The Course will conclude with a brief valedictory function on Dec 20, 2014 at 4.00 P.M.

5 LIST OF PARTICIPANTS D MANJUSHREE JSS College For Women Chamarajanagara M VIDHYA PSGR KRISHNAMMAL COLLEGE FOR WOMEN COIMBATORE R SHARMILA PSGR KRISHNAMMAL COLLEGE FOR WOMEN COIMBATORE ARUN HARILAL BHINDE Tolani College of Arts & Science Adipur (Kachchh) RAJPRAKASH HOTTE GOWDRU JAWAHARLAL NEHRU NATIONAL COLLEGE OF ENGINEERING SHIMOGA SANJEET KUMAR YSNM COLLEGE DALTONGANJ PRABHU TEJ J Bangalore University Bangalore ANU K JOHN MES COLLEGE NEDUMKANDAM N KARTHIKEYAN REGIONAL INSTITUTE OF EDUCATION MYSORE VAJJIRAVEL MURUGESAN B S Abdur Rahman University, Chennai Chennai ASHOK JADHAVAR Department of Physics University of Pune SUNITA GODASE Dr. J. J. College of Engineering, Second Shift Diploma, Jaysingpur Jaysingpur B N RASHMI JSS College For Women Chamarajanagara LAKSHITHA NAMA MAHESH THIS IS MY GAP YEAR TUMKUR VISHAL PAWAR NEW ARTS COMMERCE AND SCIENCE COLLEGE AHMEDNAGAR AHMEDNAGAR NITIN KUMAR SONI centre For Converging Technologies,University of Rajasthan Jaipur

6 BHAGYESH PUROHIT Centre For Converging Technologies,University of Rajasthan Jaipur SANKARASUBRAMANIAN GOPALAKRISHNAN Bharathiar University Coimbatore GYANRAO DHOTE RAI SAHEB BHANWAR SINGH COLLEGE NASRULLAGANJ NASDRULLAGANJ RAMASAMY KATHIRESAN Bharathiar University Coimbatore SACHIN KUMAR Regional Institute of Education Manasagangothri, Mysore SANKET GOGTE Modern College of Science, Shivajinagar Pune SATHIESH S S Regional Institute of Education Manasagangothri, Mysore ARUN D.. DINESH KUMAR Centre For Converging Technologies, Uni. Of Rajasthan Jaipur SURYA PRABHA SRI G.V.G.VISHALAKSHI WOMEN'S COLLEGE UDUMALPET VRUSHALI KADUS NEW ARTS COMMERCE AND SCIENCE COLLEGE AHMEDNAGAR VASUDEVAN SARANYA Bharathiar University Coimbatore ISWARYA A.K. G Visalakshi College for Women Udumalpet T. RAMESH KUMAR VIJAYA COLLEGE Bangalore

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