Prediction of PDZ interactions and classifications using Structures and Machine Learning Methods
by
Tayfun TÃœMKAYA
A Thesis Submitted to the
Graduate School of Sicence and Engineering
in Partial Fulfillment of the Requirements for
the Degree...
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...
Preservation of organs, tissues, etc; Tissue preservation -- Methods; Donation of organs, tissues, etc; Liver -- Transplantation
E ect of Preservation Solution and Period on the Mechanical
and Histological Properties of Liver
by
Mehmet Ayyildiz
A Dissertation Submitted to the
Graduate School of Sciences and Engineering
in Partial Ful llment of the Requirements for
the Degree...
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....
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,...
We examine the properties and consequences of pseudo-supersymmetry for quantum systems admitting a pseudo-Hermitian Hamiltonian. We explore the Witten index of pseudo-supersymmetry and show that every pair of diagonalizable (not necessarily...
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...
We study certain linear and antilinear symmetry generators and involution operators associated with pseudo-Hermitian Hamiltonians and show that the theory of pseudo-Hermitian operators provides a simple explanation for the recent results of Bender,...
We show that a diagonalizable (non-Hermitian) Hamiltonian H is pseudo-Hermitian if and only if it has an antilinear symmetry, i.e., a symmetry generated by an invertible antilinear operator. This implies that the eigenvalues of H are real or come...
We show that for any Jordan curve Gamma in S-infinity(2) (H-3) with at least one smooth point, there exists an embedded H-plane P-H in H-3 with partial derivative P-infinity(H) = Gamma for any H is an element of [0, 1).
We outline a method based on successive canonical transformations which yields a product expansion for the evolution operator of a general (possibly non-Hermitian) Hamiltonian. For a class of such Hamiltonians this expansion involves a finite...
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 introduce a random walk in random environment associated to an underlying directed polymer model in 1 + 1 dimensions. This walk is the positive temperature counterpart of the competition interface of percolation and arises as the limit of...
Long-Time Behaviour of Solutions to Phase Field Equations
by
Jandos Jayikbaev
A Thesis Submitted to the
Graduate School of Science and Engineering
in Partial Ful llment of the Requirements for
the Degree of
Master of Science
in
Mathematics
Ko c...
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...
During the last couple of decades considerable research efforts have been directed towards the synthesis and coating of iron oxide nanoparticles (IONPs) for biomedical applications. To address the current limitations, recent studies have focused on...
In this paper, we report on the design, modeling, fabrication, and characterization of dielectric microresonators based on hydrogenated amorphous silicon nitride and hydrogenated amorphous silicon oxide. The microresonators were modelled using the...
We give two characterization theorems for pseudo-Hermitian (possibly nondiagonalizable) Hamiltonians with a discrete spectrum that admit a block-diagonalization with finite-dimensional diagonal blocks. In particular, we prove that for such an...
In this paper, we report on the design, modeling, fabrication, and characterization of an amorphous silicon microcavity. The microcavity is fabricated using a one-dimensional photonic bandgap structure. The structure was grown by plasma deposition...