Course No.

Name of Course

Name of Module

Course Code

No of modules

No. Credits

Credits allotted

No. of Lectures per module (hr)

Total workload (hr)

1.

Research Methodology

Module I

Phy-Ph.D. 001

4

4

01

15

60

Module 2

01

15

Module 3

01

15

Module 4

01

15

2.

Scientific Writing and Presentation Techniques

Module I

Phy-Ph.D. 002

3

4

01

15

60

Module 2

01

15

Module 3

02

30

3.

Subject specific advanced level course (Fundamentals of Physics revisited)

Mathematical Methods in Physics

Phy-PhD 003A

7

4

04

08

60

Classical Mechanics

08

Electrodynamics

08

Quantum Mechanics

08

Statistical Mechanics

08

Nuclear and Particle Physics

08

Atoms, Molecules and Solids

12

Subject specific advanced level course

(Advanced Experimental Physics)

Module 1: Interaction of radiation and energetic particles with matter

Phy-PhD 003B

4

4

01

15

60

Module 2: Spectroscopic Techniques

01

15

Module 3: Microstructural analysis techniques

01

15

Module 4: Essentials of measurement and analysis

01

15

4.

Publication Ethics

Theory

Phy-Ph.D. 004

2

2

01

15

30

Practice

01

15

Total

20

18

18

270

270

Course No.

Name of Course

Name of Module

Contents

Code

No of modules

No. Credits

Credits allotted

No. of hours per module

1

Research Methodology

Module I

History of research. Indian, Egyptian, Greek ideas methodologies and research in agriculture, chemistry, metallurgy, medical. Ancient Indian research methodology applications.

Phy-Ph.D. 001

4

4

01

15

Module 2

Statistical analyses and its significance, Exploratory and confirmatory research, Planned and ad-hoc methods of data collection, non-response and methods of recovering the missing response, Various software for statistical analysis.

The module will consist of case studies of the research performed in various subjects using statistical methods, Error and noise analysis, curve fitting.

01

15

Module 3

Literature search, selection of research topic (case study based), maintaining laboratory records (case study based). Safety in Laboratories, Ethical considerations, effective verbal and non-verbal communication, field data collection, safety in field.

01

15

Module 4

Writing research paper and/or thesis, making a presentation, writing a research proposal, and patents in Science, technology

01

15

2

Scientific Writing and Presentation Techniques

Module I

Writing research proposal for obtaining financial assistance from national/international funding agencies-

Can include Title, Research Context and Rationale, Research questions, Methodology, Plan of work, Significance of research, Bibliography.

As per the requirement or proforma of the funding agencies.

Phy-Ph.D. 002

3

4

01

15

Module 2

Writing of Reviews-

Respective guide should assign and check

01

15

Module 3

Seminars- At least 3 seminars should be conducted by the guide.

Can include - Communication skills (Writing and Oral)-Listening, Speaking and Reading, presentation skills and ethics, public speaking, workplace communications.

02

30

3

Subject specific advanced level course (Fundamentals of Physics revisited)

Mathematical Methods in Physics

Application of vector calculus in classical mechanics and electrodynamics. Vector spaces and operator algebra, matrices and their application in quantum mechanics, Linear first order and second order differential equations in physics, Fourier series, Fourier and Laplace transforms, Complex analysis its applications in evaluating integrals

Phy-PhD 003A

7

4

04

8

Classical Mechanics

Lagrange’s and Hamiltonian Formalisms, Conservation theorems and symmetry properties, Two- body central force problem- reduction to one body problem, scattering in a central force field. Small oscillations, orthogonal transformations, Eulerian angles, Rigid body motion.

8

Electrodynamics

Laplace and Poisson equations, boundary value problems, method of images, Electrostatics in dielectric media, Ampere’s theorem. Bio-Savart law, electromagnetic induction, Maxwell’s equations in free space and in linear isotropic media, Boundary conditions on fields at interfaces, scalar and vector potentials. Gauge invariance.

Electromagnetic waves - reflection and refractions, dispersion, interference, coherence, diffraction, polarization, electrodynamics of charged particles in electric and magnetic fields. Time varying fields, plane electromagnetic waves in non-conducting media. Radiation from moving charges and from a dipole, retarded potentials and fields.

8

Quantum Mechanics

One-dimensional problems, Harmonic oscillator, hydrogen atom, spherically symmetric potential: bound states and scattering states, angular momentum algebra, time independent and time dependent perturbation theories, WKB approximation, identical particles and symmetry, quantization of electromagnetic field (Coulomb gauge), Kramers-Heisenberg formula, Thomson, Raleigh and Raman scattering

8

Statistical Mechanics

Probability theory, statistical description of macroscopic systems, phase space, ensembles, partition function, laws of thermodynamics, thermodynamic potentials and Maxwell’s relations. Chemical potential, free energy and connection with thermodynamic quantities. Ideal gas, Classical and quantum statistics, degenerate electron gas, Bose Einstein condensation, realization of Bose-Einstein condensate in the laboratory.

8

Nuclear and Particle Physics

Basic nuclear properties, liquid drop model, nuclear forces, nuclear shell structure, interaction of charged particles and electromagnetic radiation with matter, basic principles of particle detectors, radio-active decays, nuclear reactions, fundamental forces, Gellmann-Nishijima formula Quark model, CPT invariance in different interactions, parity non-conservation in weak interactions.

8

Atoms, Molecules and Solids

Electrons in atoms, exchange symmetry of wavefunctions, atomic and molecular spectra and their explanations including spin-orbit coupling, fine structure, relativistic corrections, spectroscopic terms and selection rules, hyperfine structure, Zeeman, Paschen-Back and Stark effects. Crystal classes and systems, lattice vibration, free electron theory, energy bands in solids, electronic structure of quantum confined structures, impurity levels in doped semiconductor structures. Electron transport, dielectrics, Clausius-Mosstti equation, ferroelectricity, dia-, para, ferro-, antiferro- and ferri-magnetism, superconductivity.

12

Subject specific advanced level course

(Advanced Experimental Physics)

Module 1: Interaction of radiation and energetic particles with matter

Basic phenomena in case of low energy and high energy interactions (keV and MeV energies) of photons, γ-rays, electrons, protons, neutrons, ions etc. Applications of these processes in synthesis of thin films, coatings, evaporation, sputtering (like plasma, processing, ion-beam processing,

LASER processing) and in X-ray photoelectron spectroscopy (XPS).

Phy-PhD 003B

4

4

01

15

Module 2: Spectroscopic Techniques

Resolution of spectrometer/ instrument (general), Resolving power and influence of different experimental parameters on it. Sensitivity of Measurement. Accuracy of measurements. Instrumental errors and measurement errors. Atomic and molecular spectroscopy, UV-vis-NIR absorption spectroscopy, electronic transition in solids, Transmission reflection and absorption coefficient Infrared spectroscopy, Molecular vibration spectroscopy, Rotational spectroscopy, Bond analysis. Raman spectroscopy. Resonance spectroscopy Angular momentum, Magnetic moments and energy levels, Magnetic resonance, Nuclear Magnetic Resonance, Chemical shift’s Fine structure and Intensity variations. Mossbauer spectroscopy

Analysis of the spectra.

01

15

Module 3: Microstructural analysis techniques

Atomic absorption, emission spectroscopy - fundamental of optical atomic spectrometry, Atomic emission spectroscopy. Atomic fluorescence spectrometry. Comparison of Atomic spectroscopies. X-ray diffraction principles, structure factor and diffraction intensity calculations, Rietveld analysis.

Scanning electron and Transmission electron microscopy, Field emission microscopy, scanning Tunnelling microscopy, Atomic force microscopy.

01

15

Module 4: Essentials of measurement and analysis

Noise and Signal Handling Signal to noise ratio, Johnson Noise and Nyquist theorem, Shot noise, Means of reducing noise. Grounding – shielding, pre-amplifier,

Considerations sampling theorem, filters – ADCs/DACs Foamier Transform, Laplace and Fast Fourier Transforms. Data analysis Lorentzian, Gaussian, least square fitting of the spectra. (curve fitting) Deconvolution of spectrum, Derivative peak shapes, Analysis of spectra by taking examples of Raman, X-ray photo-electron, etc. spectra.

01

15

4

Publication Ethics

Theory

Philosophy and Ethics

Scientific conduct

Publication ethics

Phy-Ph.D. 004

2

2

01

15

Practice

Open Access Publishing

Publication misconduct

Database and Research Metrics

01

15

Total

20

18

18

270