Division of Physical and Mathematical Sciences: Recent submissions
Now showing items 81-100 of 969
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Some investigations into algebraic and geometric properties of Feynman integrals and related topics
We describe our investigations into various formal properties of Feynman integrals and of scattering amplitudes obtained from studying algebraic structures. There are variety of ways to study these properties. Out of which, ... -
The Cahn-Hilliard-Navier-Stokes Framework for Multiphase Fluid Flows: Laminar, Turbulent, and Active
The Cahn-Hilliard-Navier-Stokes (CHNS) framework has found extensive applications, across diverse length and time scales, for multi-phase flows. In this thesis, we demonstrate that this framework offers a robust theoretical ... -
Some Aspects of Weighted Kernel Functions on Planar Domains
The broad aim of this thesis is to study some aspects of weighted kernel functions. In particular, this thesis has been driven by three principal goals: First, to study the boundary behaviour of weighted Bergman kernels. ... -
Frequency Domain Photoacoustic Signal Analysis for Temperature Sensing
Monitoring temperature in biological tissue is vital for different therapy applications like photo-thermal therapy, high-intensity focused ultrasound therapy, etc. Photoacoustic imaging has been used for volumetric temperature ... -
Advanced Light Sheet Volume Flow Cytometry (VFC/iLIFE) and Spectroscopy System for Cell Biophysics and Clinical Biology
Optical imaging is paramount for disease diagnosis and to access its progression over time. The developed light sheet-based optical flow imaging techniques, known as Volume Flow Cytometry(VFC/iLIFE), and related techniques ... -
Role of Oxygen Vacancies in Modification of Electronic Structure of Bulk Oxides
Emergent phenomena in oxides have been receiving a lot of experimental and theoretical interest in the recent decade. In general, oxides host a rich diversity of defects and several new emergent phenomena such as 2-DEG ... -
Investigation of inter-layer charge transfer process in optically excited graphene and transition metal dichalcogenide-based heterostructures
Light-matter interaction of two-dimensional (2D) materials and their van der Waals hybrids have gained significant interest in the past few years as they offer an intriguing platform for studying fundamental physical ... -
Interfacial - Dzyaloshinskii - Moriya interaction in quasi-perpendicularly magnetized Ta/Pt/CoFeB/Pt ultra-thin films
The physics of Ferromagnetic-Metal/Heavy-Metal(FM/HM) ultra-thin film heterostructures is not only rich enough to investigate the interplay of magnetic interactions but also relevant enough to harness a new paradigm of ... -
Electro-optic charge transport in semiconducting polymers
In this thesis, I have discussed the electric field dependence of photoconductivity of regioregular poly(3-hexylthiophene) [rr-P3HT] and its sensitization with Squaraine (SQ) dye. Even 1 wt % of SQ dye enhances the transport ... -
Feynman Integral Calculus and Hypergeometric Functions: New Results, Interconnections and Computer Algebra
Feynman integrals play a fundamental role in perturbative calculations within the realm of quantum field theory. In this thesis, we study several important mathematical properties of multi-loop multi-leg Feynman Integrals ... -
Chaos, entanglement, and non-equilibrium dynamics in Hermitian and non-Hermitian quantum many-body systems
Quantum chaos and entanglement have appeared as two key intertwined concepts to characterize fundamental quantum correlations of quantum many-body states and to understand the emergence of thermal and non-thermal steady ... -
Linear Nanopositioning Systems for Scanning Probe Microscopy
Scanning probe microscopes (SPM) are vital for visualizing and characterizing samples of interest to various fields with nanometer resolution, such as semiconductor fabrication, microbiology, and material engineering. The ... -
Studies of Feynman and Related Integrals and their Hypergeometric Connection using the Method of Brackets, Algebraic Relations and Singularity Analysis
Feynman integrals are special kind of integrals that arise in perturbative quantum field theory and are often very difficult to evaluate in terms of known functions of mathematical physics. At times some of the methods ... -
Realization of magnetic Weyl semimetallic phase in pyrochlore iridates thin films
Weyl semimetals (WSMs) are characterized by two linear non-degenerate band crossing inside the bulk of the Brillouin zone. The spin-degeneracy of the bands can be lifted by either broken inversion symmetry or broken ... -
Characters of classical groups twisted by roots of unity
This thesis focuses on the study of specialized characters of irreducible polynomial representations of the complex classical Lie groups of types A, B, C and D. We study various specializations where the characters are ... -
Fluctuation Driven Collective Phenomena in Electron Doped Quantum Paraelectric: KTaO3
The study of quantum phase transitions, in which a system undergoes a change in its ground state and physical properties due to quantum fluctuations at absolute zero temperature, stands as one of the most celebrated themes ... -
Harmonic Map Heat Flow and Framed Surface-group Representations
This thesis concerns the construction of harmonic maps from certain non-compact surfaces into hyperbolic 3-space H3 with prescribed asymptotic behavior and has two parts. The focus of the first part is when the domain ... -
Packaging and Functionalization of Fiber Bragg Grating Sensors for Various Sensing Applications.
In our world, numerous sensors are found everywhere, making our lives simpler and more comfortable. Among these sensors, optical sensors have undergone expeditious development, providing good performance. In particular, ... -
Charge Transport in PEDOT:PSS and Blends
Charge transport properties and metal-insulator transition in conducting polymers de pend on doping, disorder and the complex nanomorphology. Conductivity of poly(3,4- ethylenedioxythiophene):poly(styrene-sulfonate) ...