We construct the most general physically admissible positive-definite inner product on the space of Proca fields. Up to a trivial scaling this defines a five-parameter family of Lorentz invariant inner products that we use to construct a genuine...
Quantum Mechanics of a Single Photon
by
Hassan Babaei
A Dissertation Submitted to the
Graduate School of Sciences and Engineering
in Partial Ful llment of the Requirements for
the Degree of
Master of Science
in
Physics
January 22, 2016
Quantum...
gp120 is key to the human immunodeficiency virus type 1 viral cell entry. Knowledge of the detailed conformational states of gp120 is crucial to intervention, yet the unbound form is still resistant to structural characterization probably because...
We consider linear optimization problems over the cone of copositive matrices. Such conic optimization problems, called copositive programs, arise from the reformulation of a wide variety of difficult optimization problems. We propose a hierarchy...
Context: This study was designed to understand and define the special radio-anatomic morphometry of C7 vertebra by using multidetector computed tomography (MDCT). Aims: The major aim of the study was to detect the gender- and side-related...
The Wheeler-DeWitt equation for the minimally coupled Friedman-Robertson-Walker-massive-scalar-field minisuperspace is written as a two-component Schrodinger equation with an explicitly ''time''-dependent Hamiltonian. This reduces the solution of...
The quantum measurement axiom dictates that physical observables and in particular the Hamiltonian must be diagonalizable and have a real spectrum. For a time-independent Hamiltonian (with a discrete spectrum) these conditions ensure the existence...
We present an evaluation of some recent attempts to understand the role of pseudo-Hermitian and PT-symmetric Hamiltonians in modelling unitary quantum systems and elaborate on a particular physical phenomenon whose discovery originated in the study...
An optical spectral singularity is a zero-width resonance that corresponds to lasing at threshold gain. Its time-reversal causes coherent perfect absorption of light and forms the theoretical basis of antilasing. In this article, we explore optical...
Determination of Mechanical Properties of Blood Vessels and Surgical Conduits Using Nonlinear Optimization Techniques
by
Samir Donmazov
A Dissertation Submitted to the Graduate School of Sciences and Engineering in Partial Fulfillment of the...
We consider pseudounitary quantum systems and discuss various properties of pseudounitary operators. In particular we prove a characterization theorem for block-diagonalizable pseudounitary operators with finite-dimensional diagonal blocks....
A non-Hermitian operator with a real spectrum and a complete set of eigenvectors may serve as the Hamiltonian operator for a unitary quantum system provided that one makes an appropriate choice for the defining the inner product of physical Hilbert...
I extend the formulation of pseudo-Hermitian quantum mechanics to eta(+)-pseudo-Hermitian Hamiltonian operators H with an unbounded metric operator eta(+). In particular, I give the details of the construction of the physical Hilbert space,...
Detergents; Surface active agents; Surface active agents--Physiological effect; Detergents--Physiological effect; Detergents--Toxicology; Toxicology
E ects of Viscoelasticity on Droplet Dynamics in
Micro
uidic Systems
by
Mohammad Nooranidoost
A Dissertation Submitted to the
Graduate School of Sciences and Engineering
in Partial Ful llment of the Requirements for
the Degree of
Master of...
Using the Pais-Uhlenbeck oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe the basic mathematical structure of this method by giving an explicit...
We introduce the notion of pseudo-Hermiticity and show that every Hamiltonian with a real spectrum is pseudo-Hermitian. We point out that all the PT-symmetric non-Hermitian Hamiltonians studied in the literature belong to the class of...
Whistler mode waves in the magnetosphere play an important role in the energy dynamics of the Earth's radiation belts. Previous theoretical work has been extended to include ions in the fully adiabatic warm plasma theory. Using a finite electron...
Two-phase viscoelastic systems are computationally studied in a pressure-driven flow with a sudden contraction and expansion using a finite-difference/front-tracking method. The effects of viscoelasticity in drop and bulk fluids are investigated...
The stable structures and melting properties of ion clouds in isotropic octupole traps are investigated using a combination of semianalytical and numerical models, with a particular emphasis at finite-size scaling effects. Small-size clouds are...
Estimating Physical Properties of the Products
of an Atmospheric Distillation Column
by Support Vector Regression
by
Firat Uzman
A Thesis Submitted to the
Graduate School of Sciences and Engineering
in Partial Fulfillment of the Requirements...