Perturbation theory is applied to one-dimensional scattering systems consisting of a general class inhomogeneous and isotropic slabs having size $L$ described by the relative permittivity $\varepsilon(z) = 1 + \alpha \chi(z)$, where $\chi(z)$ electric susceptibility $\alpha$ perturbation parameter. The transmitted reflected amplitudes are shown be written as Born series in powers Pad\'e approxi...

Abstract A non-Hermitian Hamiltonian that has an unbroken PT symmetry can be converted by means of a similarity transformation to a physically equivalent Hermitian Hamiltonian. This raises the following question: In which form of the quantum theory, the non-Hermitian or the Hermitian one, is it easier to perform calculations? This paper compares both forms of a non-Hermitian ix quantum-mechanic...

New pyridylmethyl armed-monoazadithiaoxa- and monoazatrithia-12-crown-4 have been prepared. The structures of the Ag+ complexes of the new ligands were investigated by X-ray crystallography, 1H NMR titrations, and FAB-MS measurements. In all cases, the Ag+ complexes form dimetallo[3.3]para- or metacyclophane structures depending on the position of the N atom of the pyridine rings.

We study a class of algebras with non-Lie commutation relations whose symplectic leaves are surfaces of revolution: a cylinder or a torus. Over each of such surfaces we introduce a family of complex structures and Hilbert spaces of antiholomorphic sections in which the irreducible Hermitian representations of the original algebra are realized. The reproducing kernels of these spaces are express...

(1.3) M = M1 ∪M2 , M1 ∩M2 = Y = ∂M1 = ∂M2 . In this paper, we study the adiabatic decomposition of the ζ-determinant of D2, which describes the contributions in detζD coming from the submanifolds M1 and M2. Throughout the paper, we assume that the manifold M and the operator D have product structures in a neighborhood of the cutting hypersurface Y . Hence, there is a bicollar neighborhood N ∼= ...

A Hermitian and an anti-Hermitian first-order intertwining operators are introduced and a class of η-weak-pseudo-Hermitian positiondependent mass (PDM) Hamiltonians are constructed. A corresponding reference-target η-weak-pseudo-Hermitian PDM – Hamiltonians’ map is suggested. Some η-weak-pseudo-Hermitian PT -symmetric Scarf II and periodic-type models are used as illustrative examples. Energy-l...

However, the use of the term parahemorheology has been criticized, because the prefix para implies that the rheology of fluids and structures in the perivascular spaces is secondary and less important than that of the vessel-blood organ. It is also imprecise, once it does not refer to the fluids and structures being considered. By contrast, the term perihemorheology implies the rheology of flui...

Objective There is striking paucity in consensus on the terminology, definition, and diagnostic criteria of mycotic aortic aneurysms. This literature study aims to elucidate this scientific omission, discuss its consequences, and present a proposition for reporting items on this disease. Methods A systematic literature review on PubMed and Medline using mycotic and infected aortic aneurysms b...

A positive definite even Hermitian lattice is called even universal if it represents all even positive integers. We introduce a method to get all even universal binary Hermitian lattices over imaginary quadratic fields Q( √ −m) for all positive square-free integers m and we list optimal criterions on even universality of Hermitian lattices over Q( √ −m) which admits even universal binary Hermit...

In this paper we study a nonlinear elliptic system of equations imposed on a map from a complete Hermitian (non-Kähler) manifold to a Riemannian manifold. This system is more appropriate to Hermitian geometry than the harmonic map system since it is compatible with the holomorphic structure of the domain manifold in the sense that holomorphic maps are Hermitian harmonic maps. It was first studi...