Program Educational Objectives (PEO)
The educational objectives of the MS Physics program are:
No. |
Attributes |
PLOs |
1 |
Physics and Knowledge |
An ability to apply knowledge of Physics to address the industrial and everyday life problems. |
2 |
Problem Analysis and Reasoning |
An ability to survey existing literature, identification of gaps, permissible solution of problems to substantiate conclusions. |
3 |
Investigation Tools |
An ability to interact with methodological, experimental and computational advancements facilitating the permissible solutions. |
4 |
Physics and Environment |
An ability to demonstrate the applicability of physical rigors in developing ecofriendly products. |
5 |
Dissemination |
An ability to communicate effectively the outcomes of Physical pathways. |
6 |
Project Execution |
An ability to design and execute a research project as an independent researcher in a multidisciplinary environment. |
Code | Course Title | Credit Hours |
---|---|---|
PH-5001 | Methods of Mathematical Physics | 3 |
PH-5002 | Material Physics | 3 |
PH-5003 | Advanced Electrodynamics | 3 |
PH-5004 | Nanoscience and Techniques | 3 |
Total | 12 |
Code | Course Title | Credit Hours |
---|---|---|
PH-5005 | Methods and Techniques of Experimental Physics | 3 |
TEX-5078 | Funtional Textile | 2 |
- | Elective - I | 3 |
- | Elective - II | 3 |
- | Elective - III | 3 |
Total | 14 |
Code | Course Title | Credit Hours |
---|---|---|
PH-5090 | MS Thesis | 6 |
Total Credit Hours | 32 |
Fourier series: Introduction and general properties, the convergence of trigonometric series, Integral transform development of the Fourier integral, Fourier transform, inversion theorems, Fourier transform of derivatives, Laplace transforms, Laplace transform of derivatives, inverse Laplace transform. Differential equations: Separation of variables in three dimensions, Boundary value problems, Green’s functions, Integral transforms, generating functions, and integral equations. Calculus of variations: dependent and independent variables, Euler-Lagrange equation and applications, several independent and dependent variables, Diffusion equation, Heat Equations, Wave equations, some nonlinear equations, Klein-Gordon equation, sine-Gordon equation Burgers equation, Backlund transformation, Tensor and vector fields, Differential geometric methods.
Recommended Books:
Bonding in Elemental Materials Covalent, Metallic and van der Waals Bonding), Bonding in Multi element Materials (Ionic, Mixed Ionic-Covalent Bonding, Hydrogen Bonding), Effects of Nature of Bonding on Materials Properties. Basic Structural and Symmetry Concepts, Concept of Diffraction in a Periodic Lattice, Structural Information from X-ray Diffraction, and other Diffraction Techniques. Crystal Structures of Metals and Ceramic Materials. Point Defects (vacancies, interstitials, impurities, F-centers) and their stability Line and Extended Defects (Dislocations, Grain Boundaries, Stacking Faults, Interfacial, Surface and Volumetric Defects). Effect of Defects on the Properties of Materials.: Amorphous Materials / Glasses (Glass formation, Glass Transition, and Crystallization of Glasses, Various Glass Forming Systems). Random Closed Packing in Metallic Glasses, Continuous Random Network in Covalent Glasses. Basic Concepts, Equilibrium Phase Diagrams, Phase Transformations – Basic Concepts, Kinetics, Metastable versus Stable Transformations, Microstructure Development, Precipitation, and Dispersion Hardening, Multi-Component and Multi-Phase Systems, Alloys, Equilibrium Structures, Phase Separation.
Recommended Books:
Electric field due to a dipole, Electric potential due to a dipole, potential energy of a dipole in an external electric field. The mutual interaction energy of two dipoles, Force and couple on the dipole placed in an external electric field, multiple expansion of the electric field. Polarization and polarization density vector, Surface and volume charge density due to the polarization of dielectric, The electric field outside and inside of a dielectric medium. Gauss’s law in dielectric and electric displacement vector, electric susceptibility, Boundary conditions on field vectors for two media. Boundary value problems involving dielectrics, Solution of Laplace equation Microscopic theory of dielectrics: Molecular field in a dielectric. Ferroelectricity, Steady current in a continuous media, approach to electrostatic equilibrium of a conductor. magnetic properties of matter, magnetization, the magnetic field produced by magnetized material, magnetic susceptibility, and permeability. Magnetic boundary conditions on field vectors, the molecular field inside matter, the origin of diamagnetism. Origin of Paramagnetism, Theory of ferromagnetism, ferromagnetic domains, ferrites. Magnetic scalar potential, magnetic vector potential, the magnetic field of a distant circuit. Electromagnetic induction, Physical significance of Maxwell’s equations, Maxwell’s equations, and their empirical basis. Electromagnetic field energy, the wave equation, Generalized amperes law, scalar, and vector potentials and gauge transformations, wave equations for scalar and vector potential retarded scalar, and vector potential. Boundary conditions of electromagnetic waves propagation of electromagnetic waves, plane monochromatic waves in non-conducting media, polarization, plane monochromatic waves in conducting media. Reflection and refraction at the boundary of two non-conducting media, reflection and refraction at the boundary of two conducting media. Radiation from an oscillating dipole, radiation from the half-wave antenna and their applications, Design, and Simulation of a dipole antenna, Patch antenna and horn antenna, and EMI shielding.
Recommended Books:
Introduction to Nanoscience and Nanotechnology. Difference between bulk and nanomaterial. Nanoparticle (Origin, Chemical composition, Shape, Surface modification, aggregation state, Nanoparticles in nature. There is plenty of space at the bottom: Introduction to properties on nanoparticles (Size, Reactivity, Surface area to volume ratio, Magnetism). Nanoparticles at different size levels. Size-dependent properties of nanoparticles: Nanoparticles in different dimensions, Top-down approach, bottom-up approach. Surface to volume ratio, Quantum confinement. Magnetic properties of nanoparticles: Magnetic dipoles, Magnetic fields, Magnetic forces/units. Super para-magnetism, Magnetic moment. Thermal Properties of Nanomaterials: Melting point of nanomaterials, Cohesive energy, Cohesive energy for ideal case, Cohesive energy for bulk material, Surface area of magnetic nanoparticles, Shape factor, Cohesive energy of the metallic crystal. Calculation of Cohesive energy of solids & melting temperature of bulk matter. Optical properties of nanoparticles: Optical properties of metal, Optical properties of non-metal, Localized surface plasmonic resonance (LSPR) in metals. Mechanical properties of Nanomaterials: Strength, Yield Strength, Tensile strength, Ductility, Toughness. Elongations, Elastic Deformation, Tensile test Curve. Hall-Patch Relationship. Hall Patch strengthening limits. Synthesis of Nanomaterials: Bottom-up and top-down approaches and the synthesis methods in these two approaches. Composite materials
Recommended Books:
Basics of X-ray diffraction, X-ray spectra, Bragg’s law and importance, construction and operation of diffractometer, data analysis, Qualitative (Hanawalt method), Quantitative (matrix flushing methods). Characterization techniques, Basics of spectroscopy and importance, Lambert-Beer’s law, Construction and Operation of a spectrophotometer, Radiation detection (Detectors), Data analysis. Construction and Operation of Scanning Electron Microscope, Construction, and Operation of Atomic Force Microscope, Construction and Operation of Transmission Electron Microscope and sample preparation techniques. Vacuum techniques, Production of vacuum (Vacuum pumps), Measurements of vacuum (Gauges), Leak detection.
Recommended Books:
Introductory magnetism: Review of diamagnetism and paramagnetism, Pauli paramagnetism. Wave functions of magnetic ions (3d, 4f), spin-orbit coupling, crystal field effects. Ferro and Antiferromagnetism: Basic Phenomenon, Mean Field Theory, Thermodynamics of ferromagnetic systems. Quantum mechanical treatment, Exchange interactions, Indirect exchange (superexchange). Spin excitations, spin waves, magnons, application to the temperature dependences on magnetization and specific heat. Band ferromagnetism. Criteria for band ferromagnetism, examples of metallic ferromagnets. Anti-Ferromagnetism: Basic phenomenon, Mean Field treatment. Types of Antiferromagnets, Parallel and perpendicular susceptibilities, Spin flop transition. Ferrites and Applications of ferrites. Domain Structures and related properties of ferromagnets: Magnetic Anisotropy, basic phenomenology. Uniaxial, Cubic, and surface Anisotropies. Magnetization in soft and hard magnets.
Recommended Books:
Introduction to plasma, occurrence of plasmas in nature, concept of temperature, Debye shielding, criteria for plasmas, applications of plasma. Single particle motion, motion of charged particles in uniform E and B fields, motion of charged particles in non-uniform E and B fields, motion of charged particles in time varying E and B fields, adiabatic invariants. Plasmas as fluids, relation of plasma to ordinary electromagnetic, the fluid equation of motion, equation of continuity, the complete set of fluid equations, plasma approximations. Waves in plasmas, representation of waves, group velocity, plasma oscillations, electron plasma waves, sound waves, ion waves, validity of plasma approximation, comparison of ion wave and electron wave, electrostatic electron oscillations perpendicular to B, electrostatic ion waves perpendicular to B, the lower hybrid frequency, EM waves with Bo=0, EM waves perpendicular to Bo, cutoffs and resonances, EM waves parallel to Bo, hydro-magnetic waves, magneto-sonic waves, basic nuclear fusion reaction rates and power density, radiation losses from plasmas, operational conditions, Lawson criteria, magnetic confinement fusion, inertial confinement fusion.
Recommended Books:
Historical review, the state of zero resistance, Meissner effect. Electrodynamics for zero resistance metals, the critical magnetic field, the London Theory (Review of magnetic field concepts, magnetic field units). Review of thermodynamics and the thermodynamical characterization of a metal in the superconducting state, the intermediate state, concept of coherence. Type I superconductors. Current transport in superconductors, second-order phase transitions & the Ginzburg-Landau calculation for magnetic flux penetration. Microscopic theory of superconductivity, concepts of the energy gap and Cooper pairs, introduction to the BCS theory, the superconducting ground state, long range order in solids. Identification of the BCS results with experimental determination of the critical field, critical temperature and the heat capacity; quantum interference, the fluxoid. The mixed state and type-II superconductors, concept of the vortex, critical fields; critical-state models of Beam and Kim et al, flux-flow resistivity; critical currents; flux pinning, creep and flow; thin films; two-fluid model, high frequency effects and microwave surface resistance. Normal and superconductive tunneling, quasiparticle tunneling, Josephson tunneling, the Ambegaokar - Baratoff critical current, weak-links, the SQUID. Superconducting materials; the A15-type compounds; the high T c ceramic superconductors, physical properties of high Tc materials - "the good and the bad"; new topics in superconductivity; novel superconductors; safety considerations.
Recommended Books:
Recommended Books:
The process of scientific research: The scientific method, research planning; the scientific explanation and demarcation criteria, characteristics of factual sciences, scientific epistemology, technology as transformational knowledge, relations between science and technology, the researcher and the structure of the research teams. Ethical aspects of the research work: Scientific ethics, axiology and ethical values of science, ethics of the researcher, personal code of conduct, internal code of conduct, conduct guidelines, ethical standards of publication, scientific fraud and malpractice; study of historical and contemporary cases. Introduction to scientific policies: Typology of research projects, strategic plans and guidelines, research products: open access publications, patents, utility models, trade secret, etc.; training of researchers, preparation of research projects, monitoring and evaluation 60025 - Research methodology in physics processes. Communication techniques: Dissemination of results, technical and scientific documents, characteristics and quality indices of journals, English usage in academic contexts, structure of scientific documents, preparation of written documents (research articles, reports), computer tools, techniques of oral presentation and defense of research works, other formats (posters, flash presentations, etc.), skills for academic writing and speaking in English, online communication technologies, evaluation procedures.
Recommended Books:
Basics of textiles and raw materials, Preparatory processes of Spinning, Types of yams and spinning, Mathematical Modeling regarding fiber and yam properties, Woven Fabric Production, Knitted Fabric Production, Mathematical Modeling regarding fiber, yarn, and woven fabric properties, Mathematical Modeling regarding fiber, yam and knitted fabric properties, Nonwoven fabric formation and operations, Introduction to textile processing, Pretreatment and dyeing of textiles, Printing and finishing of textiles, Application of mathematical modelling in textile processing, Clothing Product design and development, Clothing preparatory processes. Clothing manufacturing processes, Applications of mathematical modeling in clothing.
Recommended Books:
Note: The student will submit his/her publication from his/her thesis research work to his/her supervisor. Final thesis defense of student will be held after the submission of publication to a relevant HEC recognized journal. It will be compulsory for graduate student to include his/her Supervisor’s name in his/her publication.
Admission Criteria
Admission merit list will be prepared according to the following criteria.
BS/MSc. or Equivalent | 60% weightage |
NTU-GAT (General) | 30% weightage |
Interview | 10% weightage |
Programs | Total One Time Dues at Admission (Rupees) | Tuition Fee (1st Semester) (Rupees) | Total Other Charges (Per Semester) (Rupees) | Total 1st Semester Dues (Rupees) |
M.S. Physics | 32,400 | 37,630 | 11,000 | 81,030 |
Particulars | Rupees |
Admission Fee (Once at admission) | 25,000 |
Certificate Verification Fee (Once at admision) | 2,000 |
University Security (Refundable) | 5,000 |
Red Crescent Donation (Once at admision) | 100 |
University Card Fee (Once at admision) | 300 |
Library Fee (Per Semester) | 3,000 |
Examination Fee (Per Semester) | 3,000 |
Medical Fee (Per Semester) | 2,000 |
Student Activity Fund (Per Semester) | 2,000 |
Endowment Fund (Per Semester) | 1,000 |
Degree Fee (Once in the Last Semester) | 5,000 |
Total | 32,400 |
Particulars | Rupees |
---|---|
Hostel Charges (Per Semester) | 25,000 |
Hostel Security (Refundable) | 5,000 |
TOTAL | 30,000 |