259,120 research outputs found
Finite size effects and the supersymmetric sine-Gordon models
No full textWe propose nonlinear integral equations to describe the groundstate energy of the fractional supersymmetric sine-Gordon models. The equations encompass the N = 1 supersymmetric sine-Gordon model as well as the phi(id,id,adj) perturbation of the SU(2)(L) x SU(2)(K)/SU(2)(L+K) models at rational level K. A second set of equations is proposed for the groundstate energy of the N = 2 supersymmetric sine-Gordon model
Gordon Hall (Gordon Academy)
No full textImage shows a general, exterior view of Gordon Hall at the Gordon Academy.Photo is in both Shipler Collection and Classified Photo Collection
Hippothoa pacifica Gordon 1984
No full text<i>Hippothoa pacifica</i> Gordon, 1984 <p>(Fig. 10A, D)</p> <p> <i>Hippothoa divaricata pacifica</i> Gordon, 1984: 111, text-fig. 10C, F, pl. 43A, B; Gordon <i>et al</i>. 2009: 291.</p> <p> <b>Material examined.</b> <i>Holotype:</i> NIWA 1279 (H-282), 30.5533° S, 178.5267° W, 125 m. <i>Paratype:</i> NIWA 1280 (P-567), same data as holotype. <i>Other material:</i> NIWA 73295, 34.2685° S, 173.0248° E, 168 m; NIWA 98914, 46.7250° S, 165.7750° E, 286 m; NIWA 144794, 33.9875° S, 171.7508° E, 170–174 m; NIWA 26694, 26696, 98202, 98214, 98215, 42.8292° S, 177.4218° W, 826 m.</p> <p> <b>Remarks.</b> Gordon & Ryland (1977) noted the close similarity between European and New Zealand specimens of <i>Hippothoa divaricata</i>, treating them as conspecific. Differences appeared trivial, including “the autozooidal sinus, which is more U-shaped, and the pore-chambers which are more triangular” in the New Zealand form. Gordon (1984) described the latter as a new subspecies, <i>H. divaricata pacifica</i>, further noting more-elongate zooeciules, fewer pore-chambers and a kenozooidal ancestrula, but was not able to illustrate the ovicell in the type specimens, noting, however (in remarks on <i>Hippothoa calciophilia</i> Gordon, 1984, p. 110), that the apex of the ovicell in <i>H. divaricata pacifica</i> was bimucronate.</p> <p> The new material gives information on the ovicell, of which the ooecium is indeed bimucronate (Fig. 10A), appearing as a pair of converging, rimmed, drop-shaped tubular (elevated) pseudopores in non-eroded specimens. De Blauwe (2009) has illustrated by SEM Belgian material of <i>H. divaricata</i> —the sole ovicell shown has an ooecium with more-widely separated elevations, each with a small excavation in it. The specimen additionally shows that the autozooids are proportionally narrower and more-strongly carinate than in the New Zealand form, which is here raised to full species rank. Moyano’s (1986) illustrations of <i>H. divaricata</i> from Chile resemble <i>H. pacifica</i> but the ancestrula has an orifice and operculum.</p> <p> <i>Hippothoa pacifica</i> ranges throughout New Zealand from the vicinity of Raoul Island to southern South Island (c. 29– 47° S), where it seems to be restricted to calcareous substrata. It occurs from shallow coastal water to 826 m depth.</p>Published as part of <i>Gordon, Dennis P., 2020, New Hippothoidae (Bryozoa) from Australasia, pp. 451-476 in Zootaxa 4750 (4)</i> on pages 468-469, DOI: 10.11646/zootaxa.4750.4.1, <a href="http://zenodo.org/record/3708766">http://zenodo.org/record/3708766</a>
Discantenna Gordon & Taylor 2010
No full textDiscantenna Gordon & Taylor, 2010 Type species. Discantenna tumba Gordon & Taylor, 2010.Published as part of Grischenko, Andrei V., Gordon, Dennis P. & Melnik, Viacheslav P., 2018, Bryozoa (Cyclostomata and Ctenostomata) from polymetallic nodules in the Russian exploration area, Clarion - Clipperton Fracture Zone, eastern Pacific Ocean-taxon novelty and implications of mining, pp. 1-91 in Zootaxa 4484 (1) on page 21, DOI: 10.11646/zootaxa.4484.1.1, http://zenodo.org/record/143784
On the integrability of the sine-Gordon system
No full textThis thesis investigates the integrability of the sine-Gordon system of nonlinear partial differential equations when the dependent variables are subject to some very particular boundary conditions. In chapter 1 the sine-Gordon system is introduced and, with N ϵ Z, P, Q ϵ R, the sets of initial-boundary value problems A(_N) and B(_P,Q) are defined. In the set A(_N) at the spatial variable x is unbounded and the boundary conditions are fixed by initially choosing the topological charge N. This set of problems is the one usually associated with the sine-Gordon system. In the set B(_P,Q) the spatial coordinate is constrained to the semi-line (-oo,0) and there exists two boundary parameters P,Q ϵ R to be chosen a priori. It is the study of this second set of initial-boundary value problems for arbitrary P, Q which forms all the original work of this dissertation. The study presented here is primarily concerned with the development of three separate inverse scattering methods for solving these sets of initial-boundary value problems. The first of these is developed in chapter 3 and is applicable to a subset of the problems in A(_N). The method is the one usually associated with the sine-Gordon system and studies the asymptotics of the initial data as x → ±oo. It is included in this thesis for completeness and as background for the original material which follows. Next, in chapters 4 and 5, the inverse scattering methods appropriate to initial-boundary value problems in subsets of B(_P,O) and B(_P,Q#O) are constructed. In these cases it is important to realise that it is only possible to study the asymptotics of the initial data as x → -oo. Once these three methods have been formulated they are used to find soliton solutions and infinite sets of integrals of motion for these boundary value problems. When a boundary is present at x = 0 the interaction of the solitons with this boundary is studied. These topics are addressed in chapter 6. Finally in chapter 7 the question of the integrability of both sets of problems is addressed. By interpreting the various inverse scattering methods in terms of canonical coordinate transformations of phase space it is seen that the existence of such methods can be viewed as a constructive proof of the integrability of these boundary value problems
Anyuta Grischenko & Gordon & Melnik 2018, n. gen.
No full textAnyuta n. gen. Type species. Anyuta anastema n. sp. Etymology. Named for Anna A. Novokshonova, the younger daughter of the first author. Gender feminine. Diagnosis. As for family.Published as part of Grischenko, Andrei V., Gordon, Dennis P. & Melnik, Viacheslav P., 2018, Bryozoa (Cyclostomata and Ctenostomata) from polymetallic nodules in the Russian exploration area, Clarion - Clipperton Fracture Zone, eastern Pacific Ocean-taxon novelty and implications of mining, pp. 1-91 in Zootaxa 4484 (1) on page 59, DOI: 10.11646/zootaxa.4484.1.1, http://zenodo.org/record/143784
The complex sine-Gordon model on a half line
No full textIn this thesis, we study the complex sine-Gordon model on a half line. The model in the bulk is an integrable (l+1) dimensional field theory which is U(1) gauge invariant and comprises a generalisation of the sine-Gordon theory. It accepts soliton and breather solutions. By introducing suitably selected boundary conditions we may consider the model on a half line. Through such conditions the model can be shown to remain integrable and various aspects of the boundary theory can be examined. The first chapter serves as a brief introduction to some basic concepts of integrability and soliton solutions. As an example of an integrable system with soliton solutions, the sine-Gordon model is presented both in the bulk and on a half line. These results will serve as a useful guide for the model at hand. The introduction finishes with a brief overview of the two methods that will be used on the fourth chapter in order to obtain the quantum spectrum of the boundary complex sine-Gordon model. In the second chapter the model is properly introduced along with a brief literature review. Different realisations of the model and their connexions are discussed. The vacuum of the theory is investigated. Soliton solutions are given and a discussion on the existence of breathers follows. Finally the collapse of breather solutions to single solitons is demonstrated and the chapter concludes with a different approach to the breather problem. In the third chapter, we construct the lowest conserved currents and through them we find suitable boundary conditions that allow for their conservation in the presence of a boundary. The boundary term is added to the Lagrangian and the vacuum is reexamined in the half line case. The reflection process of solitons from the boundary is studied and the time-delay is calculated. Finally we address the existence of boundary-bound states. In the fourth chapter we study the quantum complex sine-Gordon model. We begin with a brief overview of the theory in the bulk where the semi-classical spectrum and an exact S'-matrix are presented. Following that we use the stationary phase method to derive the semi-classical spectrum of boundary bound states. The bootstrap method is used as an alternative approach to obtain the same spectrum. The results are discussed and compared. The final chapter consists of a general discussion on open questions and problems of the model, and some proposals for further research
Maine Voices piece by Charlene P. Gordon of Scarborough, a former teacher and
No full textMaine Voices piece by Charlene P. Gordon of Scarborough, a former teacher and current business owner, who advocates replacing what she calls feel-good education with a school curriculum that will give students the skills, courage and self-esteem to succeed in the world
R. L. Gordon and Ron S. Jordan
No full text"No 485 Sqn Ldr R. L. Gordon D.F.C. & Ba[r]. "Butch" From 22nd July 1943 Killed at Batchelor 27th Feb 1944
No 421681 Flying Officer Ron. S. Jordan AM DFM Served in 31 Beaufighter Squadron Coomalie Creek, Darwin From 22-7-43 To 1-5-44. [Signature] Ron S. Jordan."Number 485 Squadron Leader R. L. Gordon, Distinguished Flying Cross & Ba[r], "Butch". From 22nd July 1943. Killed at Batchelor 27th February 1944.
Number 421681 Flying Officer Ron S. Jordan, Member of the Order of Australia, Distinguished Flying Medal. Served in 31 Beaufighter Squadron, Coomalie Creek, Darwin. From 22-7-43 To 1-5-44. [Signature] Ron S. Jordan
Hippothoa peristomata Gordon 1984
No full textHippothoa peristomata Gordon, 1984 (Fig. 10B, C, E, F) Hippothoa peristomata Gordon, 1984: 111, text-fig. 10E, pl. 43E–G; Gordon et al. 2009: 291. Material examined. Holotype: NIWA 7429 (H-330), Kermadec Ridge (no data). Other material: NIWA 22948, 35.7415° S, 178.4983° E, 312 m; NIWA 76400, 37.6152° S, 177.0957° E, 165–170 m; NIWA 93782, 120856, 36.9078° S, 169.8463° W, 1013 m. Remarks. The species was named for the extremely elevated orificial region (Fig. 10B), shown here in profile for the first time (Fig. 10E). The ooecium of the terminal ovicell is relatively large and globular, and a little wider than the maternal zooid (Fig. 10C). The holotype colony had unusual kenozooids and it appears that these were not anomalous as they also occur in a sample from the Louisville Seamount Chain. They are almost the same size and shape as autozooids but instead of a tall elevated orifice there is only a smooth rounded convexity (Fig. 10F); this does not appear to be a reparative feature. Only one ancestrula has been found and it is kenozooidal. Hippothoa peristomata was first discovered in a sample from the Kermadec Ridge but the label with station data was lost. Further, the type material lacked an ancestrula. The species has subsequently been identified three times in later-collected samples—from the outer continental shelf south of White Island, Bay of Plenty, at 165–170 m, on the southern Kermadec Ridge near Rumble III Seamount at 312 m, and on the Louisville Seamount Chain at 1013 m. The substratum is volcanic rock.Published as part of Gordon, Dennis P., 2020, New Hippothoidae (Bryozoa) from Australasia, pp. 451-476 in Zootaxa 4750 (4) on page 469, DOI: 10.11646/zootaxa.4750.4.1, http://zenodo.org/record/370876
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