Perturbation of discriminant for one-dimensional discrete Schr\"odinger operator with sparse periodic potential

We consider the one-dimensional discrete Schr\"odinger operator with complex-valued sparse periodic potential. The spectrum for a complex-valued periodic potential is a complicated compact set in the complex plane represented by real intersections of algebraic curves determined by a discriminant. We represent the discriminant by Chebyshev polynomials and use perturbations of the discriminant to study the spectrum.Comment: 17 pages, 3 figure

Quantum mechanics of higher derivative systems and total derivative terms

A general theory is presented of quantum mechanics of singular, non-autonomous, higher derivative systems. Within that general theory, $n$-th order and $m$-th order Lagrangians are shown to be quantum mechanically equivalent if their difference is a total derivative.Comment: 14 pages, REVTeX, no figure

Linear Fat Deposition in the Middle Layer of the Left Ventricular Myocardium: Computed Tomographic Findings

We report here a case of streaky fat deposition in the middle layer of the left ventricular myocardium, without any underlying etiology, and this was seen on computed tomography coronary angiography. This report suggests that left ventricular middle layer fat deposition should be investigated in order to determine its etiology, the pathogenesis and the prognosis

Constructing the Northern Sea (Hokuyo): Rhetoric of Fishery Problems in Japan of the 1920s and 1930s.

What is the Northern Sea (Hokuyo in Japanese) for the Japanese people? The question is how the Japanese people had narrated the Northern Sea fishery. We make an analysis of the rhetorical idioms in discourses on the Northern Sea fishery, making use of the articles in several Japanese fishery journals and Japanese fishery cooperatives’ history on the Northern Sea fishery from the late 1920s to the early 1930s as the source texts.We classify rhetorical idioms into two: rhetorical idioms for “justification” and rhetorical idioms for“ accusation.” Idioms for justification connote a responsibility for the contemporary Japanese towards the past Japanese, claiming legitimacy in history, whereas idioms for accusation imply the existence of a special nation-to-nation relationship. The idioms soon spread as linguistic resources by political campaigns for defense of“ the Northern Sea fishery” in the early 1930s.We study the structure of the Northern Sea fishery narrative. Narratives on the 1930s’ Northern Sea fishery share the same plot-development with narratives on the Northern Sea fishery prior to 1905. We regard this development as the structure, specific to the Northern Sea fishery Narrative