scholarly journals Peculiarity of Symmetric Ring Systems with Double Y-Junctions and the magnetic effects

Author(s):  
Yukihiro Fujimoto ◽  
Kohkichi Konno ◽  
Tomoaki Nagasawa

Abstract We discuss quantum dynamics in the ring systems with double Y-junctions in which two arms have same length. The node of a Y-junction can be parametrized by U(3). Considering mathematically permitted junction conditions seriously, we formulate such systems by scattering matrices. We show that the symmetric ring systems, which consist of two nodes with the same parameters under the reflection symmetry, have remarkable aspects that there exist localized states inevitably, and resonant perfect transmission occurs when the wavenumber of an incoming wave coincides with that of the localized states, for any parameters of the nodes except for the extremal cases in which the absolute values of components of scattering matrices take 1. We also investigate the magnetic disturbance to the symmetric ring systems.

1870 ◽  
Vol 18 (114-122) ◽  
pp. 183-185

The author, after referring to his paper in the Philosophical Transactions for 1868 on the comparison of Magnetic Disturbances inferred from Galvanic Currents recorded by the Self-registering Galvanometers of the Royal Observatory of Greenwich with the Magnetic Disturbances registered by the Magnetometers, on 17 days, states that he had now undertaken the examination of the whole of the Galvanic Currents recorded during the establishment of the Croydon and Dartford wires (from 1865 April 1 to 1867 October 24). The days of observation were divided into three groups,—No. I containing days of considerable magnetic disturbance, and therein including not only the 17 days above mentioned, but also 36 additional days, No. 2 containing days of moderate disturbance, of which no further use was made, and No. 3 containing the days of tranquil magnetism. The comparisons of the additional 36 disturbed days were made in the same manner as those of the preceding 17 days, and the inferences were the same. The results were shown in the same manner, by comparison of curves, which were exhibited to the Society. The points most worthy of notice are, that the general agreement of the strong irregularities, Galvanic and Magnetic, is very close, that the galvanic irregularities usually precede the magnetic, in time, and that the northerly magnetic force appears to be increased. The author remarks that no records appeared open to doubt as regards instrumental error, except those of western declination; and to remove this he had compared the Greenwich Curves with the Kew Curves, and had found them absolutely identical.


2014 ◽  
Vol 213 ◽  
pp. 19-28 ◽  
Author(s):  
Zdenek Remes ◽  
Ravi Vasudevan ◽  
Karol Jarolimek ◽  
Arno H.M. Smets ◽  
Miro Zeman

The new absolute PDS setup allows to measure simultaneously the absolute values of the optical transmittance T, reflectance R and absorptance A spectra in the spectral range 280 2000 nm with the typical spectral resolution 10 nm in ultraviolet and visible spectral range and 20 nm in the near infrared region. The PDS setup provides the dynamic detection range in the optical absorptance up to 4 orders of magnitude using non-toxic liquid perfluorohexane Fluorinert FC72. Here we demonstrate the usability of this setup on a series of intrinsic as well as doped a-Si:H and a-SiC:H thin films deposited on glass substrates by radio frequency (RF) plasma enhanced chemical vapor deposition (CVD) from hydrogen, silane and methane under various conditions. The increase of the Tauc gap with increasing carbon concentration in intrinsic a-SiC:H was observed. The defect-induced localized states in the energy gap were observed in doped a-Si:H as well as undoped a-SiC:H below the Urbach absorption edge.


1870 ◽  
Vol 160 ◽  
pp. 215-226 ◽  

In a communication to the Royal Society, which was honoured by publication in the Philosophical Transactions for 1868, I described the methods and gave the results of comparing the Magnetic Disturbances which might be expected as consequent on the Terrestrial Galvanic Currents recorded by the self-registering galvanometers of the Royal Observatory of Greenwich, with the Magnetic Disturbances actually registered by the self-registering magnetometers. The comparison was limited to seventeen days (1865, October 5 and 31; 1866, October 4; 1867, April 4, 5, 7, 8, 9, 11, May 4, 14, 28, 31, June 1, 2, 7, 24), various days having been omitted in consequence of a doubt on the uniformity of the clock-movement of the registering-barrel, which afterwards proved to be unfounded. The results of the comparison were exhibited in curves, engraved copies of which are given in the volume of publication. I expressed my opinion that it was impossible to doubt the general causal connexion of the Galvanic Currents with the Magnetic Disturbances, but that some points yet remained to be cleared up. As soon as circumstances permitted, I undertook the examination of the whole of the Earth-currents recorded during the establishment of the Croydon and Dartford Wires (namely from 1865 April 1 to 1867 December 31), as far as they should appear to bear upon this and similar questions. For this purpose the days of observation were divided by Mr. Glaisher into three groups. Group No. 1 contained days of considerable mag­netic disturbance (or days of considerable galvanic disturbance, which are always the same), including, besides the seventeen days above-mentioned, the thirty-six days of the following list :—1865, April 15, 16, 17, 18, 19, May 14, 17, July 7,15, August 14,19, 26, September 8, 16, 28, October 4, 6, 10, 12, 14, November 1; 1866, August 11, 23, September 8, 9,12,13,17,18, 25, October 6, 7,10, 30, November 26 ; 1867, February 8; making in all fifty-three days of considerable magnetic disturbance. Group No. 2 consisted of days of moderate magnetic disturbance, and of these no further notice was taken. Group No. 3 contained the days of tranquil magnetism, and the discussion of these will form the principal part of the present Memoir.


1889 ◽  
Vol 45 (273-279) ◽  
pp. 73-98

There have been no changes introduced in the magnetographs during the year, but the building operations referred to later on have involved the introduction of several pieces of iron, in the shape of girders, standards, rails, &c., both temporarily and permanently, into the field of action of the magnets, and will therefore somewhat complicate the corrections necessary to render the observations comparable with those made prior to the alterations. Fortunately the building in which the absolute observations are made is sufficiently remote (about 100 yards) from the main building to be quite unaffected by these sources of magnetic disturbance.


1893 ◽  
Vol 53 (321-325) ◽  
pp. 322-351

There have been no changes introduced in the magnetographs during the past year, but during the erection of the additional story to the west wing of the Observatory the self-recording instruments were at times disturbed by the building operations. Fortunately the indications of the instruments were seriously affected by these causes on one of the “quiet days” only, and that day has been omitted in calculating the monthly mean. The building in which the absolute observations are made is sufficiently remote (about 100 yards) from the main building to be quite unaffected by these sources of magnetic disturbance.


2002 ◽  
Vol 80 (6) ◽  
pp. 589-600 ◽  
Author(s):  
Derek R Boyd ◽  
Narain D Sharma ◽  
Ludmila V Modyanova ◽  
Jonathan G Carroll ◽  
John F Malone ◽  
...  

Toluene dioxygenase-catalyzed dihydroxylation, in the carbocyclic rings of quinoline, 2-chloroquinoline, 2-methoxyquinoline, and 3-bromoquinoline, was found to yield the corresponding enantiopure cis-5,6- and -7,8-dihy dro diol metabolites using whole cells of Pseudomonas putida UV4. cis-Dihydroxylation at the 3,4-bond of 2-chloroquino line, 2-methoxyquinoline, and 2-quinolone was also found to yield the heterocyclic cis-dihydrodiol metabolite, (+)-cis-(3S,4S)-3,4-dihydroxy-3,4-dihydro-2-quinolone. Heterocyclic cis-dihydrodiol metabolites, resulting from dihydroxylation at the 5,6- and 3,4-bonds of 1-methyl 2-pyridone, were isolated from bacteria containing toluene, naphthalene, and biphenyl dioxygenases. The enantiomeric excess (ee) values (>98%) and the absolute configurations of the carbocyclic cis-dihydrodiol metabolites of quinoline substrates (benzylic R) and of the heterocyclic cis-diols from quinoline, 2-quinolone, and 2-pyridone substrates (allylic S) were found to be in accord with earlier models for dioxygenase-catalyzed cis-dihydroxylation of carbocyclic arenes. Evidence favouring the dioxygenase-catalyzed cis-dihydroxylation of pyridine-ring systems is presented.Key words: dioxygenases; cis-dihydroxylation, pyridines, 2-pyridones, absolute configurations.


2021 ◽  
Vol 10 (1) ◽  
Author(s):  
Yao Wang ◽  
Bi-Ye Xie ◽  
Yong-Heng Lu ◽  
Yi-Jun Chang ◽  
Hong-Fei Wang ◽  
...  

AbstractHigher-order topological insulators, as newly found non-trivial materials and structures, possess topological phases beyond the conventional bulk-boundary correspondence. In previous studies, in-gap boundary states such as the corner states were regarded as conclusive evidence for the emergence of higher-order topological insulators. Here, we present an experimental observation of a photonic higher-order topological insulator with corner states embedded into the bulk spectrum, denoted as the higher-order topological bound states in the continuum. Especially, we propose and experimentally demonstrate a new way to identify topological corner states by exciting them separately from the bulk states with photonic quantum superposition states. Our results extend the topological bound states in the continuum into higher-order cases, providing an unprecedented mechanism to achieve robust and localized states in a bulk spectrum. More importantly, our experiments exhibit the advantage of using the time evolution of quantum superposition states to identify topological corner modes, which may shed light on future exploration between quantum dynamics and higher-order topological photonics.


1984 ◽  
Vol 80 (10) ◽  
pp. 5036-5048 ◽  
Author(s):  
M. J. Davis ◽  
E. J. Heller

1984 ◽  
Vol 75 ◽  
pp. 407-422
Author(s):  
William K. Hartmann

ABSTRACTThe nature of collisions within ring systems is reviewed with emphasis on Saturn's rings. The particles may have coherent icy cores and less coherent granular or frosty surface layers, consistent with thermal eclipse observations. Present-day collisions of such ring particles do not cause catastrophic fragmentation of the particles, although some minor surface erosion and reaccretion is possible. Evolution by collisional fragmentation is thus not as important as in the asteroid belt.


1984 ◽  
Vol 75 ◽  
pp. 461-469 ◽  
Author(s):  
Robert W. Hart

ABSTRACTThis paper models maximum entropy configurations of idealized gravitational ring systems. Such configurations are of interest because systems generally evolve toward an ultimate state of maximum randomness. For simplicity, attention is confined to ultimate states for which interparticle interactions are no longer of first order importance. The planets, in their orbits about the sun, are one example of such a ring system. The extent to which the present approximation yields insight into ring systems such as Saturn's is explored briefly.


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