Browsing Division of Physical and Mathematical Sciences by Title
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Quantum Algorithms Using Nuclear Magnetic Resonance Quantum Information Processor
(20090512)The present work, brieﬂy described below, consists of implementation of several quantum algorithms in an NMR Quantum Information Processor. Game theory gives us mathematical tools to analyze situations of conﬂict between ... 
Quantum capacitance and noise measurements in van der Waals heterostructures
The discovery of graphene has revolutionized the field of condensed matter physics and opened new prospects for a wide range of other twodimensional materials. Further with the advancement of fabrication techniques, one ... 
Quantum dynamics of weak measurements: Understanding the Born rule and applying weak error correction
Projective measurement is used as a fundamental axiom in quantum mechanics, even though it is discontinuous and cannot predict which measured operator eigen state will be observed in which experimental run. The probabilistic ... 
Quantum Information Processing By NMR : Quantum State Discrimination, Hadamard Spectroscopy, Liouville Space Search, Use Of Geometric Phase For Gates And Algorithms
(20110222)The progess in NMRQIP can be outlined in to four parts.1) Implementation of theoretical protocols on small number of qubits. 2) Demonstration of QIP on various NMR systems. 3) Designing and implementing the algorithms for ... 
Quantum Information Processing By NMR : Relaxation Of Pseudo Pure States, Geometric Phases And Algorithms
(20090413)This thesis focuses on two aspects of Quantum Information Processing (QIP) and contains experimental implementation by Nuclear Magnetic Resonance (NMR) spectroscopy. The two aspects are: (i) development of novel methodologies ... 
Quantum Simulations by NMR : Applications to Small Spin Chains and Ising Spin Systems
(20171122)Quantum simulations, where controllable quantum systems are used to simulate other quantum systems, originally proposed by Richard Feynman, are one of the most remarkable applications of quantum information science. Compared ... 
Quantum Spin Chains And Luttinger Liquids With Junctions : Analytical And Numerical Studies
(20100309)We present in this thesis a series of studies on the physical properties of some one dimensional systems. In particular we study the low energy properties of various spin chains and a junction of Luttinger wires. For spin ... 
Quantum transport in Graphene Moire Superlattice and pn junction
The discovery of graphene has revolutionized the field of mesoscopic condensed matter physics. It has started a new field of vander Waals heterostructure in which different twodimensional materials including graphene can ... 
A Radio Study Of Gas Loss Processes In Nearby Galaxies
(20081017)The work in this thesis involves detailed multifrequency radio continuum (from 325 MHz to 15 GHz) and Hi spectroscopic studies of a few represent tative nearby galaxies which are experiencing gasloss from their disks ... 
Raman Spectroscopy Of Graphene And Graphene Analogue MoS2 Transistors
(20160618)The thesis presents experimental studies of device characteristics and vibrational properties of atomic layer thin graphene and molybdenum disulphide (MoS2). We carried out Raman spectroscopic studies on field effect ... 
Raman Study of gated devices in twodimensional materials and pressure effects
This thesis presents Raman study of 2D materials of contemporary interests: 2HMoTe_2, typeII Weyl semimetal (T_dMoTe_2), structurally anisotropic semiconductors (1T'ReX_2 (X=S, Se)) and Mott insulator (FePS_3) under ... 
RandallSundrum Model as a Theory of Flavour
(20180411)The discovery of the Higgs boson by the LHC provided the last piece of the puzzle neces sary for the Standard Model (SM) to be a successful theory of electroweak scale physics. However there exist various phenomenological ... 
Rapid light sheet fluorescence microscopy for dynamic imaging of living organisms
The primary goal of this thesis is to develop a light sheet based microscopy system that provides noninvasive images having high spatial and temporal resolution. The fluorescence microscopy has become an indispensable ... 
Rapid Lightsheet Volume Imaging For Developmental Biology
Optical fluorescence microscopy is one of the key tool, that is indispensable for the study of complex and dynamic biological processes. Key issues associated with the existing fluorescence imaging systems are, ... 
Recognition of Structures, Functions and Interactions of Proteins of Pathogens : Implications in Drug Discovery
(20180714)Significant advancements in genome sequencing techniques and other highthroughput initiatives have resulted in the availability of complete sequences of genomes of a large number of organisms, which provide an opportunity ... 
Relative Symplectic Caps, Fibered Knots And 4Genus
(20140407)The 4genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the 4genus and related invariants of homology classes is the Thom conjecture, proved ... 
Representations of Special Compact Linear Groups of Order Two : Construction, Representation Growth, Group Algebras and Branching Laws
Let o be the ring of integers of a nonArchimedean local field such that the residue field has characteristic p: Let p be the maximal ideal of o: For Char¹oº = 0; let e be the ramification index of o: i.e., 2o = pe: Let ...