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IMSc Theses/ Dissertations: Recent submissions

  • 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 ...
  • From Partons to Constituent Quarks: A study of Hadron structure functions 
    Ravindran, V. (2009-08-12)
    This thesis is a study of the processes such as Deep Inelastic Scattering(DIS), and Drell-Yann(DY)in general, which are excellant tools to understand the structure of Hadrons and acting as test grounds for Predictions ...
  • New realizations of Model spaces of SU(3) and formulae for the Clebsch-Gordan coefficients of SU(3) 
    Prakash, J. S. (, 2009-08-12)
    The mathematical theory of groups has been very successful in facilitating the description of phenomena in various branches of Physics such as Crystallography, Atomic Physics, Molecular Physics, Nuclear Physics, Particle ...
  • The interlayer pair Hopping mechanism of High Temperature superconductivity 
    Muthukumar, V. N. (, 2009-08-11)
    A theoretical study of the interlayer pair hopping mechanism of high temperature superconductivity is undertaken in this thesis. The assumptions such as " i) the low energy excitations in the normal state are spin-charge ...
  • On rings of integers of relative abelian extensions of number fields 
    Venkataraman, S. (, 2009-08-11)
    By a number field, we mean a finite extension of Q. If F is a number field, the ring of integers of F is the integral closure of Z in F. Since the ring of integers of F is finitely generated and torsion free, it is free ...
  • Spin structure of the nucleon: Phenomenological desiderata. 
    Indumathi, D. (, 2009-08-10)
    This thesis is organised into two parts. Part I deals with 'Parton Model Phenomenology', a study of polarisation asymmetries, shedding more light on spin content of the proton. A complete set of processes that yield ...
  • Color invariant additive fluxes for Lattice Gauge Theory 
    Gadiyar, G. H. (2009-08-10)
    The analysis carried out in this thesis is based on the Hamiltonian approach to the Lattice Gauge theory. On defining a Hamiltonian for the gauge degrees of freedom, one deals with a quantum mechanics with a well-defined ...
  • A Manifestly Lorentz covariant Local Quantum Field theory of Dyons 
    Manu Mathur (2009-08-10)
    The origin of numerous problems associated with the earlier attempts to construct Quantum Field Theory of Dyons, are discussed in this thesis. These problems are analyzed with the aspects of Classical and Quantum Mechanics ...
  • Studies in Kaluza - Klein approach to unification 
    Chakraborty, Biswajit (, 2009-08-10)
    The revival of Kaluza-Klein theory, with added features essentially occupies a major part in supergravity, and superstring theories, which are higher dimensional theories. The technique of Kaluza-Klein spontaneous ...
  • Dirichlet series associated to Modular forms 
    Yogananda, C. S. (, 2009-08-10)
    Waring's problem, Goldbach's conjecture, Dirichlet divisor problem and the order of Dirichlet series in critical strip are good examples for the phenomena in Number theory, 'for a problem reducing in the ultimate analysis ...
  • Topics in Quantum Theory of Angular Momentum 
    Rajeswari, V. (2009-08-07)
    Quantum theory of angular momentum provides an invaluable tool for all quantum mechanical phenomena, occuring in the fields of atomic, molecular, and nuclear physics. The symmetries of Angular Momentum coupling and Angular ...
  • Cohomology of a moduli space of vector bundles 
    Balaji, V. (, 2009-08-07)
    This thesis is concerned with a study of the cohomological properties of certain moduli spaces of vector bundles over a compact Riemann Surface. This research was funded by the National Board for Higher Mathematics. ...
  • Some studies in Matrix Theory and applications to generalised clifford algebras and representations of Lie groups 
    Madivanane, S. (2009-08-07)
    Some aspects of Matrix theory and its applications are dealt with in this thesis. "For two matrices A and B of order n x n which satisfy the characteristic equation( x^n) - 1 = 0 , it has been shown that the transformation ...

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