Results 11 to 20 of about 120,588 (269)
A universal form of localized complex potentials with spectral singularities
New Journal of Physics, 2020 Abstract We establish necessary and sufficient conditions for localized complex potentials in the Schrödinger equation to enable spectral singularities (SSs) and show that such potentials have the universal form U (
Dmitry A Zezyulin, Vladimir V Konotop
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Classification of phase singularities for complex scalar waves [PDF]
, 2006 Motivated by the importance and universal character of phase singularities which are clarified recently, we study the local structure of equi-phase loci near the dislocation locus of complex valued planar and spatial waves, from the viewpoint of ...
Adachi, Jiro, Ishikawa, Go-o
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On a Poincare lemma for foliations [PDF]
, 2013 In this paper we revisit a Poincare lemma for foliated forms, with respect to a regular foliation, and compute the foliated cohomology for local models of integrable systems with singularities of nondegenerate type. A key point in this computation is the
Miranda, Eva, Solha, Romero
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Regular Solutions in Higher-Derivative Gravity
Universe, 2018 Local gravitational theories with more than four derivatives can have remarkable quantum properties. Namely, they can be super-renormalizable and may be unitary in the Lee-Wick sense, if the massive poles of the propagator are complex.
Breno L. Giacchini +1 more
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On Generation, Motions, and Collisions of Dowsons
Frontiers in Physics, 2020 Dowsons are ±2π point singularities of the unitary complex order parameter eiφ characterizing the so-called dowser texture in a thin nematic layer with homeotropic boundary conditions.
Pawel Pieranski, Maria Helena Godinho
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Complex-time singularity and locality estimates for quantum lattice systems [PDF]
Journal of Mathematical Physics, 2015 We present and prove a well-known locality bound for the complex-time dynamics of a general class of one-dimensional quantum spin systems. Then we discuss how one might hope to extend this same procedure to higher dimensions using ideas related to the Eden growth process and lattice trees. Finally, we demonstrate with a specific family of lattice trees
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Local invariants of singular surfaces in an almost complex four-manifold [PDF]
Annals of Global Analysis and Geometry, 1993 Let \(f: S^2\to (M^4, J)\) be a generic mapping, that is, \(f\) is a finite cover of an almost everywhere immersion (except for a finite number of points) which has only finite complex points. To such a mapping \(f\) the authors assign local invariants \(i(x)\) and \(m(x)\) at every point \(x\in f (S^2)\). The invariant \(i(x)\) is defined as the local
Ishikawa, Goo, Ohmoto, Toru
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Frontiers in Physics, 2022 Atomic gases tightly trapped near the focus of an electromagnetic wave interact with photons that exhibit a complex structure, displaying strong gradients of field amplitude and local polarization that can lead to topological phase singularities.
R. Gutiérrez-Jáuregui, R. Jáuregui
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Nonlocal vertices and analyticity: Landau equations and general Cutkosky rule
Journal of High Energy Physics, 2018 We study the analyticity properties of amplitudes in theories with nonlocal vertices of the type occurring in string field theory and a wide class of nonlocal field theory models.
Paokuan Chin, E. T. Tomboulis
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Milnor fibers and Links of Local Complete Intersections [PDF]
, 2014 We discuss and prove a number of cohomological results for Milnor fibers, real links, and complex links of local complete intersections with singularities of arbitrary dimension.Comment: 14 ...
Massey, David B.
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