**Eligibility Criteria for ABV-IITM, Gwalior: Full Time Ph.D Admission 2014 in Applied Sciences (Physics & Mathematics)**

M Sc. in Physics/ Mathematics / Electronics/Nano-Technology; M Tech/M Phil in Material Science/ Nanotechnology/Computational Physics/ Solid State Physics/Computational Mathematics withfirst division or equivalent CGPA.

- Only those candidates will be considered for Ph.D. programme.
- Candidates with M.Sc. must have valid NET/GATE score /M.Phil.
- Candidates with M.Phil. must have publication (s) in reputed Journal

Relaxation to SC/ST/OBC/PH candidates will be given as per GOI norms.

**Indicative list of Broad Areas of Research:**

Applied Sciences

Applied Physics (Material and Device Modelling, Computational Nano sciences and Technologies)

Applied Mathematics (Reliability, Applied Statistics, Soft Computing Applications, Optimization,Cryptography, Modeling and Simulation)

**Guidelines for Applying:**

- Candidates are required to fill the online Application Form available on the Institute website www.iiitm.ac.in and submit it latest by 25thJune, 2014 (Wednesday).
- The hard copy of completed application form duly signed along with the supportingdocuments as mentioned in the application form should be sent to The Deputy Registrar(Academics), ABV-IIITM Gwalior, Morena Link Road, Gwalior-474 015 latest by 30th June2014 (Monday). Please superscribe the envelop “Application for Ph.D. Admission 2014-15”.
- Application Fee of Rs. 1200 (For Gen/OBC) and Rs 600 (for SC/ST/PH) should be submittedthrough online payment gateway available at Home Page of the Institute’s Website.
- Candidates MUST specify broad areas of research in the application form.
- Selection will be based on previous academic record and / or performance in writtentest/interview.
- The syllabus for the written examination is available on the Institute website.
- Incomplete applications and hard copy submitted after the last date will not be considered.
- Institute will not be responsible for any postal delay.
- Canvassing in any form will disqualify the candidates.
- List of short-listed candidates for written test / interview will be uploaded on institute website
- The candidates are required to visit Institute website to know more about fee structure/facultyexpertise etc.

**Assistantship & Accommodation to Ph.D Scholar:**

- The selected candidates shall be entitled for assistantship as per GOI norms.
- Accommodation is available for the Ph.D. scholars in Boys and Girls hostels. Limited accommodation for married research scholar is also available which will be provided based on the criteria laid down by the Institute authority.
- The short listed candidates may be required to stay for written test and interview on both days.

### Important Dates: ABV-IITM, Gwalior: Full Time Ph.D Admission 2014 in Applied Sciences (Physics & Mathematics)

Last date for receiving on-line application form: 25th June, 2014 (Wednesday)Last date for receiving application form in hard copy along with the supporting documents: 30th June 2014 (Monday)

Date of Written Test/Interview: 12th -13th July, 2014 (Saturday &Sunday)

**Instructions to Candidate for Filling up Online Application Form for Ph.D. Program**

1. Candidate is first required to pay the application fee online (Rs. 1200 for General/OBC and Rs. 600 for SC/ST/PH) and obtain transaction ID receipt indicated on payment response/status page. The link for online payment is provided on the bottom of the left hand side on home page.

2. Candidate is to mention the Transaction ID in the online application form.

3. Fill in your relevant details in appropriate place/box provided in the Application form. Incomplete form is liable for rejection.

4. Candidate must fill correctly all the fields which are mentioned as “mandatory” in the application form. (i.e. it is mandatory to mention roll no/registration no. For examinations such as GATE/CAT etc.)

5. Candidate having any qualification other than the qualifying degrees may fill in the box mentioned as “other”.

6. Candidate is required to upload "Statement of Purpose" in maximum 400 words that may include the domain of research, motivation, possible methodology.

7. Upon submission of the form you will be asked to take print of the application. Take the print of the filled in form and along with photocopies of relevant testimonials (such as Certificates/marksheets/grade card /GATE/CAT/ NET score/mark sheet etc.) send by post to the address given in the advertisement.

8. In case of multiple submissions for the same discipline, the form which is submitted last will be considered as Final.

### Syllabus for written test (Applied Sciences): ABV-IITM, Gwalior: Full Time Ph.D Admission 2014 in Applied Sciences (Physics & Mathematics)

__Applied Physics-AP__

**SECTION- A**

General information on science and its interface with society to test the candidate’s awareness of science,

aptitude of scientific and quantitative reasonsing. Common elementary computer science. History of

development of computers, Mainframe, Mini, Micro’s and Super Computer Systems. General awareness of

computer Hardware i..e. CPU and other peripheral devices ( input / output and auxiliary storage devices ).

Basic knowledge of computer systems, software and programming languages i.e. Machine language, Assembly language and higher level language. General awareness of popular commercial software packages other Scientific application packages.

**SECTION – B**

1. Basic Mathematical Methods: Calculus, Vector algebra and vector calculus, Linear algebra, matrices,

Linear differential equations, Fourier – series, Elementary complex analysis.

2. Classical Dynamics: Basic principles of classical dynamics. Lagrangian and Hamiltonian formalisms.

Symmetries and conservation laws. Motion in the central field of force. Collisions and scattering. Mechanics

of a system of particles. Small oscillations and normal modes. Wave motion – wave equation, phase velocity, group velocity, dispersion. Special theory of relativity – Lorentz transformations, addition of velocities, mass – energy equivalence.

3. Electromagnetics: Electrostatics – Laplace and Poisson equations, boundary value problems.

Magnetostatics – Ampere’s theorem, Biot – Savart Law, electromagnetic induction. Maxwell’s equations in

free space and in linear isotropic media. Boundary conditions on the fields at interfaces. Scalar and vector

potentials. Gauge invariance. Electromagnetic waves – reflection and refraction, dispersion, interference,

coherence, diffraction, polarization. Electrodynamics of a charged particle in electric and magnetic fields.

Radiation from moving charges, radiation from a dipole. Retarded potential.

4. Quantum Physics and Applications: Wave – particle duality. Heisenberg’s uncertainty Principle. The

Schrodinger equation Particle in a box, Harmonic Oscillator, Tunnelling through a barrier. Motion in a central potential, Orbital angular momentum. Angular momentum algebra, spin. Addition of angular momenta. Time

– independent perturbation theory. Fermi’s Golden Rule. Elementary theory of scattering in a central

potential. Phase shifts, partial wave analysis, Born approximation, identical particles, spin – statistics

connection.

5. Thermodynamic and Statistical Physics: Laws of thermodynamics and their consequences, Thermodynamic potentials and Maxwell’s relations. Chemical potential, phase equilibria. Phase space, microstates and macrostates. Partition function. Free Energy and connection with thermodynamic quantities. Classical and quantum statistics, Degenerate electron gas. Blackbody radiation and Planck’s distribution law, Bose-Einstein condensation. Einstein and Debye models for lattice specific heat.

6. Experimental Design: Measurement of fundamental constants : e, h, c,. Measurement of High & Law

Resistances, L and ; Detection of X – rays, Gamma rays, charged particles, neutrons etc : Ionization chamber, proportional counter, GM counter, Scintillation detectors, Solid State detectors. Emission and Absorption Spectroscopy. Measurement of Magnetic field, Hall effect, magnetoresistance. X-ray and neutron Diffraction.

Vacuum Techniques: basic idea of conductance, pumping speed etc. Pumps ; Mechanical Pump, Diffusion

pump ; Gauges; Thermocouple, Panning, Pirani, Hot Cathode. Low Temperature: Cooling a sample over a range upto 4 K and measurement of temperature; Measurement of Energy and Time using electronic signals from the detectors and associated instrumentation : Signal processing, A/D conversion & multichannel analyzers, Time-of-flight technique ; Coincidence Measurements ; true to chance ratio, correlation studies.

7. Electronics: Physics of p n junction. Diode as a circuit element ; clipping, clamping ; Rectification, Zener

regulated power supply ; Transistor as a circuit element : CC, CB and CE configuration. Transistor as a switch, OR, AND, NOT gates. Feed back in Amplifiers. Operational amplifier and its applications : inverting, non â€“ inverting amplifier, adder, integrator, differentiator, wave form generator, comparator & Schmidt trigger.

Digital integrated circuits NAND & NOR gates as building blocks, X OR Gate, simple combinational circuits, Half & Full adder, Flip-flop, shift register, counters.

Basic principles of A/D & D/A converters ; Simple applications of A/D & D/A converters.

8. Atomic & Molecular Physics: Quantum states of an electron in an atom. Hydrogen atom spectrum.

Electron spin. Stern-Geriach experiment. Spin-orbit coupling, fine structure, relativistic correction,

spectroscopic terms and selection rules, hyperline structure. Exchange symmetry of wave functions. Paulâs

exclusion principle, periodic lable alkali type spectra, LS & JJ coupling, Zeeman, Paschen Back and Stain effects.

X-Rays and Auger transitions, Compton effect. Principles of ESR, NMR. Convalent, ionic and Van der Waals interaction.

Rotation Vibration spectra. Raman Spectra, selection rules, nuclear spin and intensity alternation, isotope

effects, electronic states of diatomic molecules, Frank Condon principle. Lasers spontaneous and stimulated

emission, optical pumping, population inversion, coherence (temporal and spatial) simple description of

Ammonia maser, CO2 and He-Ne Lasers.

9. Condensed Matter Physics: Crystal classes and systems, 2d & 3d lattices, Bonding of common crystal

structures, reciprocal lattice, diffraction and structure lector, elementary ideas about point defects and

dislocations. Lattice vibrations, Phonons, specific heat of solids, free electron theory Fermi statistics ; heat

capacity. Electron motion in periodic potential, energy bands in metals, insulators and semi-conductors ; fight binding approximation ; impurity levels in depend semi-conductors. Electronic transport from classical kinetic theory, electrical and thermal conductivity, Hall effect and thermoelectric power transport in semiconductors.

Dielectric Polarization mechanisms, Clauslus equation, Plezo, Pyto and ferroelectricity. Dia and Para magnetism; exchange interactions, magnetic order, ferro, anti ferro and ferrimagnetism. Super conductivity basic phenomenology; Meissner effect, Type 1 and Type 2 Super conductions, 8CS, Paining mechanism.

Apply Online: ABV-IITM, Gwalior: Full Time Ph.D Admission 2014 in Applied Sciences (Physics & Mathematics)

STEP1-> PAY APPLICATION FEE ONLINE

STEP2->APPLY ONLINE

**ABV- INDIAN INSTITUTE OF INFORMATION TECHNOLOGY& MANAGEMENT GWALIOR**

(An Autonomous Institute of MHRD, Govt. of India)

Telephone: 0751-2449720, 2449704, 2449741

Website : www.iiitm.ac.in

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