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IMSc Theses/ Dissertations: Recent submissions

  • Duality transformation of non-abelian gauge theories 
    Majumdar, Pushan (2009-08-25)
    Duality transformation typically maps the strongly coupled region of one theory to the weakly coupled one of another, making it possible for one to investigate the strongly coupled region of a theory by a perturbative ...
  • Dynamics of Driven Dissipative Heisenberg Spins with Inertia 
    Das, Jayajit (2009-08-25)
    This thesis is a study of the interplay between inertia, dissipation and driving on the dynamics of many-body systems in d-dimensions. The simplest example of a many-body spin system possessing inertial dynamics is the ...
  • Aspects of D-brane Physics and quantum gravity 
    Sarkar, Tapobrata (2009-08-25)
    Some aspects of D-brane physics and quantum gravity are studied in this thesis. D-branes on Calabi-Yau manifolds from the point of view of gauged linear sigma models are studied. An appropriate set of boundary conditions, ...
  • EigenValue Problems in Shell Theory 
    Sabu, N. (2009-08-24)
    This thesis studies the justification of eigenvalue problems for classical lower dimensional models of linear elastic shells and rods. It is to show that the eigen solutions of the lower dimensional problem is the limit, ...
  • Studies in Quantization: Methods for constrained systems and semi-classical spectra of Many-Body Systems 
    Radhika, Vatsan (, 2009-08-24)
    In many cases while interacting many-body systems, the quantum treatment has to be through approximations. One such aspect is semi-classical approximation. These aspects of quantization in the context of simple examples ...
  • Problems in Algorithmic Number theory 
    Nagaraj, S. V. (2009-08-24)
    This thesis presents new results for four problems in the field of Algorithmic and Computational Number Theory. The first gives an improved analysis of algorithms for testing whether a given positive integer n is a perfect ...
  • Aspects of Black Hole Thermodynamics 
    Arundhati, Dasgupta (, 2009-08-20)
    Black holes are formed when stars with mass around few times the mass of our Sun or higher collapse under their own gravitational field. Black holes are solutions of Einstein's equation which relates space time to matter. ...
  • Counting complexity and computational group theory 
    Vinodchandran, N.V. (, 2009-08-19)
    The main contribution of this thesis is in proving upper bounds on the counting complexity of some computational problems that arise from group theory. It consists of two parts. The first part concentrates on studying the ...
  • Phenomenological consequences of Neutrino Oscillations 
    Mohan, Narayan (, 2009-08-19)
    This thesis makes a systematic analyses of the solar and the atmospheric neutrino problems in a single framework in which all the three flavors of neutrinos can mix with each other. The region which is allowed by solar ...
  • Models for concurrency: Local presentations for finite state distributed systems 
    Swarup Kumar, Mohalik (, 2009-08-19)
    It is aimed to study the models of concurrency in the context of finite state systems, in order to understand the nature of distributed computing, and to help the design and analysis of distributed systems. Process models ...
  • Aspects of gravitational scattering at Planckian energies 
    Saurya Das (2009-08-18)
    The standard Model is a gauge field theory based on the gauge group. As for the standard theory of elementary particle interactions, gravitation remains negligible at the highest of energies accessible to present day ...
  • Variational formulae for Fuchsian groups over families of Algebraic curves [UNM Th54] 
    Dakshini, Bhattacharyya (, 2009-08-18)
    This thesis contributes to the problem of understanding the uniformizing Fuchsian groups for a family of plane algebraic curves by determining explicit first variational formulae for the generators of the Fuchsian groups ...
  • Field theory of frustrated antiferromagnets; An approach to the Kagome Lattice Model 
    Shubashree, D. (2009-08-18)
    Low lattice dimensionality and frustration are producing interesting effects in quantum antiferromagnets. The aspect of frustrated Heisenberg antiferromagnets has been the motivating factor of much work done in this field. ...
  • Nonclassicality and photon number distributions in quantum Optics 
    Mary Elizabeth, Selvadoray (, 2009-08-17)
    The nonclassical oscillations in photon number distribution exhibits collapses and revivals similar to those exhibited in the Jaynes-Cumming's model. These oscillations are considered as a qualitative signature of ...
  • Quantum theory of charged particle beam optics 
    Khan, S. A. (, 2009-08-17)
    This thesis is an elaboration of Jagannathan's new formalism of the quantum theory of charged-particle beam optics with illustrations of applications to several practically important systems. Quantum mechanics of the optics ...
  • Amplitude squeezed states of the radiation field 
    Sundar, Kasivishwanathan (, 2009-08-14)
    In this thesis the researcher proposes a combination of quadratic and quartic non-linearities viz., evolving a quadrature squeezed state through a Kerr Medium, resulting in a variety of states with different properties. ...
  • Chern-Simons theory as a theory of knots and links 
    Ramadevi, P. (, 2009-08-13)
    Topological quantum field theories provide a powerful tool in physics, for the study of geometry and topology of low dimensions. Cohomological or Witten-type field theories in four dimensions gives Donaldson invariants ...
  • Finite Temperature phase transitions in non-abelian gauge theories 
    Cheluvaraja, Srinath (2009-08-13)
    This thesis makes a systematic study of the SO(3) Lattice Gauge Theory at finite temperature. The study of the SO(3) Lattice Gauge Theory is important in understanding the implications of lattice gauge theories for the ...
  • Characterizations of certain multiplier classes 
    Radha, R. (, 2009-08-13)
    This thesis deals with the study of the multipliers. The problem of characterizing the multipliers from a Segal Algebra S(G) into the space ((L^p)(G))and from S(G) into ((A^p)(G)). A vector version of characterizations ...
  • Mean Value Theorems of Dirichlet Series 
    Padma, R. (, 2009-08-12)
    In this thesis the researcher has proved the 'Mean Value theorems for a class of Dirichlet series' following Ramachandra's method. This method gives simple proof of known results, and infact gives an improvement of Good's ...

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