M.Tech (Engineering Physics)

2^nd SEMESTER

Code No: BAEP 602

Paper : MATHEMATICAL PHYSICS-II 

Unit –I

Simulations in quantum mechanics (ODE); Solution of Schrodinger equation for a particle in 1-d well,

1-d harmonic oscillator, barrier penetration, particle in 3-d box, hydrogen atom.

Unit-II
Simulations in quantum mechanics (matrix formulation): revision of scalar product, matrix spaces, linear operators, diagonalization, eigenvalues & eigenvectors, special matrices, Hilbert space, finding eigenvalue & eigenvectors numerically for some quantum systems; random matrices.

Unit-III

Tensors: algebra of tensors, quotient law, fundamental tensor, Cartesian tensor, considering physical situations: effective mass tensor, moment of inertia tensor, stress, strain, elastic constants, piezoelectric strain coefficient tensor etc.

Unit-IV

Group theory: groups, subgroups, classes, reducible & irreducible representation, Schur’s lemmas, orthogonality theorem, character tables, construction of representation, lie group and lie algebra, rotation group SO(2),SO(3),Lorentz group, special unitary group(SU2 SU(2), generators of U(N) &SU (N), review and simulation of spin ½ system.

Code No: BAEP 604
Paper : ADVANCED STATISTICAL PHYSICS 

Unit-I

Transport in Bulk: statistical equilibrium of free electrons in semiconductors, impurity semiconductors, and electrostatic properties of p-n junctions.

Boltzmann transport equation, Particle Diffusion, electrical and thermal conductivity, isothermal Hall Effect, Non-equilibrium semiconductors, Quantum Hall Effect.

Unit-II

Transport in Nanostructures: Description of the system & of boundary conditions, weak coupling limit: perturbation theory, orthodox theory of tunneling, beyond Perturbation theory: elastic Scattering Formation and calculation of green function.

Unit-III

Cooperative Phenomena: Ising Model, Phase Transitions of the second kind, Ising model, Bragg-Williams Approximation, Fowler-Guggenheim Approximation, One-Dimensional Ising Model, Order-Disorder Alloys, Structural Phase Change.

Unit-IV

Critical Phenomena: Critical Exponents, scaling hypothesis, theory of critical phenomena, mean field theory, renormalization group theory of critical phenomena.

 Code No: BAEP 606
Paper : ADVANCED COMPUTAIONAL  PHYSICS  

Unit-I

Errors in computation, Review of Taylor Series, Mean Value Theorem, Representation of numbers (integers and floating point), Loss of significance in computation. Linear Simplex Method, numerical solutions of linear systems, dual-simplex method, Linear Programming.

Unit-II

Random number generation, Test for quality, random sampling techniques; interior point method.

Unit-III

Monte Carlo methods and simulation: Numerical Integration, Boundary Value Problems, Simulation of radioactive decay, Neutron transport and Percolation, Random Walk, Ising Model.

Code No: BAEP 608
Paper ALTERNATE ENERGY TECHNOLOGIES  

Unit-I

Energy scenario current, energy future, energy sources, environmental effects of energy sources, cheap energy versus environment, why renewable energy, solar radiation, sun earth geometry, shadow angles.

Unit-II

Photovoltaic (PV) cell technologies, solar PV power systems: PV cell, modules and array, open circuit voltage and short circuit current, I-V and P-V curves, Array design, peak power point operation, PV system example, environmental effects of PV system, cost consideration.

Unit-III

Nuclear Energy Engineering: Fundamentals of nuclear energy and radiation; introduction to the nuclear processes occurring in a reactor; basic concepts of nuclear reactors and power systems.

 

Unit-IV

Reactor Technology: The analysis & design of nuclear assemblies with emphasis on design; nuclear reactor kinetics, stability and control; Breeder reactors; Safety & environmental Norms.

Code No: IT 604
Paper : Data Base Management Systems

Basic concepts: database & database users, characteristics of the database, database systems, concepts and architecture, date models, schemas & instances, DBMS architecture & data independence, database languages & interfaces, data modelling using the entity-relationship approach. Overview of hierarchical, Network & Relational Data Base Management Systems.

Relational model, languages & systems: relational data model & relational algebra: relational model concepts, relational model constraints, relational algebra, SQL- a relational database language: date definition in SQL, view and queries in SQL, specifying constraints and indexes in sql, a relational database management systems, DB2.

DB2 Architecture, Logical Data Structures Physical Data Structure, Instances, Table Spaces, Types of Tablespaces, Internal Memory Structure, Background Processes, Data Types, Roles & Privileges, Stored Procedures, User Defined Functions, Cursors, Error Handling, Triggers.

Relational data base design: function dependencies & normalization for relational dataases: functional dependencies, normal forms based on primary keys, (1NF, 2NF, 3NF & BCNF), lossless join and dependency preserving decomposition.

Concurrency control & recovery techniques: concurrency control techniques, locking techniques, time stamp ordering, granularity of data items, recovery techniques: recovery concepts, database backup and recovery from catastrophic failures.

Concepts of object oriented database management systems, Distributed Data Base Management Systems.