FALL 2015 Details Of Courses – Physics
FALL 2015Details of courses – Physics1Course codePHY 3102Course TitleMathematical methods in Physics3Credits44Course Coordinator(include participatingfaculty)Suneeta Vardarajan5Pre requisites (alsomention if this is prerequisite for a latercourse)First and second year courses, particularly calculus and linearalgebra, and IDC 206 (Mathematical methods).6Objectives (goals, type ofstudents for whom useful,outcome etc)The goal of this course is to provide important mathematical toolsneeded by a physics student. This is a core course for physicsstudents. Note : students interested in Maths, who would like amore extensive treatment of some of the topics here (particularlycomplex variables) should take the corresponding Maths courseinstead of this.7Course contents1. ODEs - Ordinary differential equations (linear, homogeneousand nonhomogeneous) , especially Frobenius series will berevised very briefly, (only in case this was not done in IDC 206,we will enter into more details).2. We will have a module on qualitative features of linear ODEsin those cases when exact solutions are not known. This willinclude Sturm-Liouville theory which has applications inquantum mechanics.3. Solutions of some ODEs that appear a lot in physics (Besselequation, Associated Legendre equation etc.) will bediscussed. A brief introduction will be given to generatingfunction approach to studying special functions.4. Partial Differential Equations (PDEs) : first we will discussseparation of variables, then use this to solve the Laplace,heat and wave equations. We will also discuss (or review, ifalready done before) Fourier series, which will help us solve boundary value problems’.5. Complex analysis , Green’s functions method for solving PDEs,and using complex analysis to obtain the Green’s functions.We will obtain the Green’s function for the wave equation,which is used in the study of electromagnetic waves,gravitational waves and diverse wave-like phenomena.
6. Fourier transforms and applications, finding Fouriertransforms using complex analysis.8Evaluation /assessmenta. End-sem examination- 35%b. Mid-sem examination -35%c. Quiz - 30%(evaluation componentswith weightage)9Suggested readingsI will not be following one single textbook. Suggested books forspecific topics:Fundamentals of Complex analysis: Saff and Snider (authors),Pearson Education, Indian edition available.Differential equations: G Simmons (author) – McGraw Hill .Linear PDEs – Myint-U and Debnath (authors) – Birkhauser.Mathematics for Physicists – Dennery and Krzywicki (authors)–Dover.Mathematics of Classical and Quantum Physics – Byron and Fuller(authors)– Dover.1Course codePHY3112Course TitleClassical Mechanics3Credits44Course CoordinatorNabamita Banerjee5Nature of Course(Please mark theappropriate one)L&T- Lectures & Tutorials6Pre requisitesNone7Objectives (goals, type ofstudents for whom useful,outcome etc)Understanding basics of Lagrangian and Hamiltonian formulations ofClassical dynamical systems.8Course contents1. Newton’s Laws Revisited. (2 Lectures)(details of topics with no of 2. Lagrangian Formulation (Principle of least action, constraints andlectures for each)generalized coordinates, Noether’s theorem and applications, smalloscillations).(10 Lectures)3. Motion of Rigid Bodies.(10 Lectures).
4. Hamiltonian Formulation (Hamilton’s equations, Liouvilletheorem, Poisson brackets, action angle variables, Hamilton Jacobiequations quantization (20 Lectures)9Evaluation /assessmenta. End-sem examination- 30(evaluation componentswith weightage, Pl keepequal weightage for endsem and mid sem exams)b. Mid-sem examination- 30c. Quizd. Project work/term papere. Assignments- 4010.Suggested ReadingsTextbook(s):1. Mathematical Methods in Classical Mechanics, V. Arnold2. Classical Mechanics, H. Goldstein3. Mechanics, Landau Lifshitz.1Course codePHY 3122Course TitleElectrodynamics3Credits44Course CoordinatorArijit Bhattacharyay5Nature of Course(Please mark theappropriate one)L- lectures alone6Pre requisitesNo pre-requisites7Objectives (goals, type ofstudents for whom useful,outcome etc)To give a comprehensive idea of Electromagnetism includingits covariant formulation and special relativity.8Course contentsElectrostatics and magnetostatics of pointcharge (pole) and charge distributions, field(details of topics with no of equations and solutions in vacuum and inlectures for each)medium. [12 lectures]Electromagnetic fields, Maxwell's equations,wave solutions under various conditions andscattering. [6 lectures]Special theory of relativity, covariant formulationofElectrodynamics, Lagrange's and Hamilton's equations andradiations from moving charges. [16 lectures]
910Evaluation /assessmenta. End-sem examination- 35 marks(evaluation componentswith weightage, Pl keepequal weightage for endsem and mid sem exams)b. Mid-sem examination- 35 marksSuggested readings(with full list of authors,publisher, year, edn etc.)c. Quiz-1 - 15 marksd. Quiz-2 -15 markse. A set of problems for self-learning would be givenText Book(s)1. Classical Electromagnetism by J. Franklin(Pearson, addison wesley)2. Introduction to Electrodynamics D.J.Griffiths (PHI)3. The Classical theory of fields, Landau and Lifshitz1Course codePHY 3212Course TitleQuantum Mechanics 13Credits44Course CoordinatorRejish Nath5Nature of CourseL- lectures alone(Please mark theappropriate one)L&T- Lectures & TutorialsP-Lab sessions aloneL&P- Lectures& Lab sessions6Pre requisitesNo pre-requisites7Objectives (goals, type ofstudents for whom useful,outcome etc)An undergraduate course will be useful for students who would liketo learn the toy-model problems, and the mathematical structure ofQuantum mechanics. The applications of quantum mechanics will bebriefly discussed.8Course contents1. Linear algebra for Quantum mechanics (8).2. Exactly solvable problems in Qauntum Mechanics: Free particle,(details of topics with no ofparticle in a box, Harmonic Oscillator, Hydrogen Atom etc. (16)lectures for each)3. Angular momentum algebra (6)3. Time independent Perturbation Theory (6)
9Evaluation /assessmenta. End-sem examination- (30%)(evaluation componentswith weightage, Pl keepequal weightage for endsem and mid sem exams)b. Mid-sem examination- (30%)c. Quiz- 25%d. Project work/term papere. Assignments - (15%)10Suggested readingsText Book(s)(with full list of authors,publisher, year, edn etc.)1. J. J. Sakurai, Revised Edition, 1994, Modern quantummechanics.2. Eugen Merzbacher, third edition, 2003, QuantumMechanics.3. Cohen Tannoudji, Quantum Mechanics Vol. 1.1Course codePHY 3352Course TitleElectronics I3Credits34Course Coordinator &participating faculty(if any)Shivprasad Patil5Nature of Course(Please mark or tick theappropriate one)Pre requisitesLectures & Tutorials and Lab sessions6None7Objectives (goals, type ofstudents for whom useful,outcome etc)To provide an overview of the design principles of electronic circuits.By the end of this course, students are expected to be able tounderstand simple circuits, and also design new circuits on theirown, Lab sessions will focus on how to design electronic circuitspractically.8Course contents(details of topics /sectionswith no. of lectures foreach)Voltage & current sources, Thevenin & Norton's theorems,semiconductors, diodes, rectifiers, Zener diode, LEDs, transistors,biasing, AC analysis, amplifiers, JFETs, MOSFETs, Op-amp, negativefeedback, Op- amp circuits, oscillators,Total number of lectures 30, including few tutorials9Evaluation /assessment(evaluation componentswith weightage, Pl keepa. End-sem examination- 40 %b. Mid-sem examination- 30 %
10equal weightage for endsem and mid sem exams)c. Quiz- 15 %Suggested readingsText Book(s)(with full list of authors,publisher, year, edn etc.)1. Electronic Devices and Circuit Theory , Robert Boylestead andLouis Nashelskyd. Assignments 15 %Tenth Edition, Pearson.1Course codePHY 3302Course TitlePhysics Lab IV3Credits34Course Coordinator &participating faculty(if any)Prof. Sulabha Kulkarni, Dr. Shouvik Datta, Dr. Mukul Kabir,5Nature of Course(Please mark or tick theappropriate one)Pre requisitesL&P- Lectures & Lab sessions7Objectives (goals, type ofstudents for whom useful,outcome etc)This lab will have various experiments covering basic techniques andintroductory methods. In addition, experiments will cover the studyof different properties of materials and some basic electronics onthe characteristics and use of diodes, transistors as well asoperational amplifiers in electrical measurements.8Course contents6(details of topics /sectionswith no. of lectures foreach)Completion of academic formalities in the first two years1)2)3)4)5)BH curveSolar CellVerification of Curie Weiss law for ceramic capacitorQuinke's MethodMeasurement of electrical and thermal conductivity ofcopper6) Measurement of thermal conductivity of a poor conductor7) Thermal diffusivity of brass8) Diode and Bipolar junction transistors9) FET and logic gates10) Opamps and their basic applications11) Voltage regulator12) Oscillators
9Evaluation /assessmenta.b.c.d.e.f.(evaluation componentswith weightage, Pl keepequal weightage for endsem and mid sem exams)10End-sem examination- 30%Viva/Continuous Evaluation before Midsem – 15%Viva/Continuous Evaluation after Midsem – 15%Lab notebook before midsem-15%Lab notebook after midsem-15%Overall – 10% for extra and additional work and initiativesSuggested readingsText Book(s) :(with full list of authors,publisher, year, edn etc.)1. Art of Experimental Physics, by Daryl Preston2. An Introduction to Error Analysis: The Study of Uncertaintiesin Physical Measurements by John R. Taylor.3. The Art of Electronics by Paul Horowitz and Winfield Hill. Alsosee Student Manual for the Art of Electronics by Thomas C.Hayes and Paul Horowitz.4. Please consult journal papers on each experiments fromAmerican Journal of Physics, Physics Education, Physics Todayetc for more critical information.1Course codePHY 4102Course TitlePhysics Lab VI3Credits44Course Coordinator &participating faculty(if any)C.V.Dharmadhikari (coordinator),T S Mahesh5Nature of CourseP-Lab sessions alone6Pre requisitesElementary background in Quantum Mechanics, Atomic Physics andSolid State Physics7Objectives (goals, type ofstudents for whom useful,outcome etc)To introduce students to the advanced experiments in basicQuantum Physics, Atomic Physics and Radiation Phenomena.8Course contents(details of topics /sectionswith no. of lectures foreach)List of the experiments1. Field Emission2. Electron Diffraction3. Zeeman Effect4. Characteristics of X-rays
5. Compton Effect6. Constant Deviation Spectrometer7. Thermoluminescence8. Rutherford Backscattering9. ϒ -Ray Spectroscopy10. Phase Sensitive Detection9Evaluation /assessment(evaluation componentswith weightage, Pl keepequal weightage for endsem and mid sem exams)10a. 10 % for skill evaluation while performing the experiment.This is typically awarded at the time of experiments.b. 30 % for lab record and 30 % for viva at the time of checkingthe lab records.c. 30 % final exam.Suggested readingsText Book(s)(with full list of authors,publisher, year, edn etc.)1) Advanced Practical Physics, B. L. Worsnop and H.T. Flint.Asia Publishing House, New Delhi, 1971.2) Analytical experimental Physics, Michael Ference Jr. HarveyB. Lemon, Reginald J. Stephenson, University of ChicagoPress ,19703) The art of experimental Physics, Daryl W. Preston Eric R.Dietz, John Wiley, 19911Course codePHY 3622Course TitlePlasma Physics3Credits3 (4 credits for PhD students: extra project to justify extra credit)4Course CoordinatorPrasad Subramanian5Nature of CourseL- lectures alone X6Pre requisitesEssential: Electrodynamics, classical mechanics. Preferable:Knowledge of fluid dynamics (or willingness to learn the basics onone's own)7Objectives (goals, type ofstudents for whom useful,outcome etc)Plasmas in various forms constitute over 95 % of the observableuniverse. An understanding of plasma physics in the laboratorycontext is key to the important push towards harnessing energyfrom nuclear fusion. This course will provide an overview of thetheory of magnetohydrodynamics and plasma physics with a view toapplications in astrophysics and in the laboratory.
8Course contentsBasics of plasma physics: Kinetics: Particle orbits, guiding centertheory, the BBGKY hierarchy, Moments of the distribution function,(details of topics with no of wave-particle interactions (e.g., Landau damping), transportlectures for each)coefficientsTransition to the fluid description: Magnetohydrodynamics: basicgoverning equations, instabilities (sausage instability, kink instability,two stream instability, etc), waves in plasmas, applications toastrophysics (the solar dynamo, the solar wind, jets from compactobjects) and laboratory plasma (column pinches, confinement)9Evaluation /assessmenta. End-sem examination- 35 %(evaluation componentswith weightage, Pl keepequal weightage for endsem and mid sem exams)b. Mid-sem examination- 35 %c. 2 quizzes- 15 % eachd. Project work/term paper- PhD students taking the course for4 credits will be assigned project worke. Assignments- problem sets will be put up, but not graded10Suggested readingsText Book(s)(with full list of authors,publisher, year, edn etc.)1. Plasma Physics: An Introduction to the theory of astrophysical,geophysical and laboratory plasmas: Peter A Sturrock(Cambridge)2. The physics of plasmas: T J M Boyd, J J Sanderson (Cambridge)3. The Physics of Fluids and Plasmas; Arnab Rai Choudhuri(Cambridge)1Course codePHY 4122Course TitleCondensed Matter Physics3Credits44Course Coordinator(include participatingfaculty)Surjeet Singh5Prerequisites (alsomention if this isprerequisite for a latercourse)Knowledge of quantum mechanics (QM) (at the beginner’s level)and statistical physics (SP) (at the beginner’s level) will be assumed.This course is a prerequisite to a more advanced course inCondensed Matter Physics (PHY454), generally offered in the VIIIsemester.
6Objectives (goals, type ofstudents for whom useful,outcome etc)This is a standard course in solid state physics that any studentaspiring to do Physics should probably be familiar with. One of thegoals of the course is to introduce to the student’s simple solid statephysics models that go a long way in explaining the behavior ofcrystalline solids, which constitute a great deal of the ‘ordinarymatter’ that we see around us.7Course contentsCrystal lattice, Reciprocal lattice and X-ray diffraction (3-4 lectures)Lattice vibrations, Phonons dispersion relations, Thermalproperties of crystalline insulating solids: heat capacity andthermal conductivity (4-5 lectures)Free electron theory of metals and properties of metals: heatcapacity metals, electrical conductivity thermal conductivity (4-5lectures)Electrons in weak periodic potential; band theory of solids (4- 5lectures)Fermi surfaces and experimental methods in Fermi surface studies(3-4 lectures)Magnetism and Superconductivity (5-6)8Evaluation /assessment(evaluation componentswith weightage)9Suggested readingsa. End-semester examination - 30 %b. Mid-semester examination – 30 %c. There will be 4 quizzes of 7.5 % each (2 before and 2 aftermid-sem)d. Homework: 10 % (there will be homework each weekcomprising 3-4 simple problems based on the conceptstaught in the preceding week ). Two of the homework will berandomly selected for evaluation (this selection may varyfrom student to student).Text Book(s)a. Solid State Physics, by N W Ashcroft and N D Mermin,Harcourt College Publishers. (College Ed.) (Indian editionavailable with Amazon and other online options). This willbe our main textbook for most of the course. This book isone of the most widely used books at the undergraduatelevel. It is known for its clarity and brevity.b. Introduction to Solid State Physics, by C Kittel, JohnWiley and Sons Inc., (8th Ed.) (Indian edition availablewith Amazon and other online options). Equally good asA&M, this book often offers a different perspective ormethod of a given physical concepts.c. At No. 3 in my list is a more of a made-easy-type book.The book presents topics in an easy to understand way.
Often taking more special cases to arrive at the pointavoiding algebraic difficulties. Elementary Solid StatePhysics: Principles and Applications, M. Ali OmarAddison-Wesley; 4th edition (January 10, 1994) (Indianedition is available with Amazon and other onlineoptions)d. Principles of the theory of Solids, by J. M. Ziman(Cambridge University Press). Often prescribed toadvanced level students, this book is a masterpiece whichremains a delight and inspiration for generations of solidstate physics students. The beauty of the book is, it isvery concise and yet very detailed and very engaging.e. Solid-State Physics: An Introduction to Principles ofMaterials by Herald Ibach and Hans Luth. A nice thingabout this book is that it gives a lot of experimentaldetails. In terms of its size, it will probably compete withthe book at no. (4) but definitely not in terms of clarity ofthe concepts.1Course codePHY4142Course TitleComputational Physics3Credits44Course Coordinator &participating faculty(if any)Apratim Chatterjee and Prasenjit Ghosh (C)5Nature of Course(Please mark or tick theappropriate one)Pre requisitesL&P- Lectures& Lab sessions7Objectives (goals, type ofstudents for whom useful,outcome etc)This advanced course aims to give the students competence in themethods and techniques of calculations using computers. At theend of the course the student is expected to have a hands onexperience in modeling, algorithm development, implementationand calculation of physical quantities of relevance in interactingmany body problems in physics. Both quantum and classicalcomputational tools will be introduced.8Course contents6(details of topics /sectionswith no. of lectures foreach)Quantum mechanics I [PHY 321], Stat Mech I [PHY 322],Mathematical Methods in Physics [PHY 310]a. Introduction to Fortran 90 programming language [Abrief introduction to the F90 programming language.However most of the language learning will be during theimplementation of the selected topics that are mentionedbelow.] 3 Lectures/Labs
b. Numerical integration (Basic integration algorithms andschemes, Stochastic methods for multi-dimentionalintegrals) 4 Lectures/Labsc. Numerical solutions of differential equations (Classicalequations of motion, chaotic dynamics, time independentand time dependent Schrodinger equations) 10Lectures/Labsd. Molecular dynamics simulations (Classical many-bodydynamics) 8 Lectures/Labse. Monte Carlo simulations (Metropolis algorithm forequilibrium statistical mechanics, classical models ofmagnetism, Ising model) 10 Lectures/Labs9Evaluation /assessmentf. Exact diagonalization of quantum many-bodyHamiltonians (Ground state and finite temperaturemodels of quantum magnetism) 6 Lectures/Labs(a) Continuous evaluation 60%Lectures on each of the topics will complement with hands onsessions where the students will be given assignments which involvedeveloping computer simulation codes as well using standard codeswhich are available to perform simulations The students will begraded on this performance.)(b) End semester Viva Voce – 15 %.(c) End semester: Short project or research paper presentation25 %10Suggested readings(with full list of authors,publisher, year, edn etc.)a. Computational Physics, by J. M. Thijssen (CambridgeUniversity Press, 2001)b. Computational Physics, by N. J. Giordano and H. Nakanishi(Pearson Prentice hall, 2006)c. Fortran 90/95 for Scientists and Engineers, by S. Chapman(McGraw Hill, 2004)d. Fortran 90/95 Explained, by M. Metcalf and J. Reid (Oxforduniversity Press, 2002)e. Numerical Recipes, by W. H. Press, S. A. Teukolsky, W.Vetterling, and B. P. Flannery (Cambridge University Press)f. Computer simulation of liquids by M. P. Allen, D. J. Tildesley,(Clarendon Press, 1987)g. Understanding Molecular Simulation: From Algorithms to
Applications by Daan Frenkel, Berend Smit
Suggested books for specific topics: Fundamentals of Complex analysis: Saff and Snider (authors), . Dennery and Krzywicki (authors)– Dover. Mathematics of Classical and Quantum Physics – Byron and Fuller (authors)– Dover. 1 . Course code . PHY311 . 2 : Course Title . The Classical theory of fields, Landau and Lifshitz . 1 . Course .
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