A non-surjective Wigner-type theorem in terms of equivalent pairs of subspacesLet H be an infinite-dimensional complex Hilbert space and let G∞(H) be the set of all closed subspaces of H whose dimension and codimension both are infinite. We investigate…Mark Pankov·Mar 16, 2024SaveLearn
Some observations regarding brackets and dissipationSome ideas relating to a bracket formulation for dissipative systems are considered. The formulation involves a bracket that is analogous to a generalized Poisson bracket, but possesses a symmetric…Philip J. Morrison·Mar 15, 2024SaveLearn
SO(n) AKLT Chains as Symmetry Protected Topological Quantum Ground StatesThis thesis studies a pair of symmetry protected topological (SPT) phases which arise when considering one-dimensional quantum spin systems possessing a natural orthogonal group symmetry. Particular…Michael Ragone·Mar 15, 2024SaveLearn
Emerging Jordan forms, with applications to critical statistical models and conformal field theoryTwo novel frameworks for handling mathematical and physical problems are introduced. The first, the emerging Jordan form, generalizes the concept of the Jordan canonical form, a well-established tool…Lawrence Liu·Mar 14, 2024SaveLearn
The Baaban variational problem in the non-linear sigma modelThe minimization of the action of a QFT with a constraint dictated by the block averaging procedure is an important part of Baaban's approach to renormalization. It is particularly interesting…Wojciech Dybalski, Alexander Stottmeister, Yoh Tanimoto·Mar 14, 2024SaveLearn
From the Conformal Anomaly to the Virasoro AlgebraThe conformal anomaly and the Virasoro algebra are fundamental aspects of 2D conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive…Sid Maibach, Eveliina Peltola·Mar 14, 2024SaveLearn
Functions Analytic at Infinity and NormalityGiven a charge and current distribution with compact support, the associated potentials and fields are generally not integrable in the classical sense. However, it is convenient to be able to define…Tristram de Piro·Mar 14, 2024SaveLearn
Vertex coupling interpolation in quantum chain graphsWe analyze band spectrum of the periodic quantum graph in the form of a chain of rings connected by line segments with the vertex coupling which violates the time reversal invariance, interpolating…Pavel Exner, Jan Pekař·Mar 14, 2024SaveLearn
Classical-Quantum correspondence in Lindblad evolutionWe show that for the Lindblad evolution defined using (at most) quadratically growing classical Hamiltonians and (at most) linearly growing classical jump functions (quantized into jump operators…Jeffrey Galkowski, Zhen Huang, Maciej Zworski·Mar 14, 2024SaveLearn
Hadamard property of the Unruh state for massless fermions on Kerr spacetime : the large a caseIn a recent paper by G\'erard, H\"afner, and Wrochna, the Unruh state for massless fermions on a Kerr spacetime was constructed and the authors showed its Hadmard property in the case of very slowly…Dietrich Häfner, Christiane Klein·Mar 14, 2024SaveLearn
Infrared structure beyond locality in electrodynamicsThe infrared problems of quantum electrodynamics, in contrast to ultraviolet difficulties which are of technical nature, are related to fundamental, conceptual physical questions, such as: what is a…Andrzej Herdegen·Mar 14, 2024SaveLearn
Line geometry of pairs of second-order Hamiltonian operators and quasilinear systemsWe demonstrate that a pair consisting of a second-order homogeneous Hamiltonian structure in N components and its associated system of conservation laws is in bijective correspondence with an…Giorgio Gubbiotti, Bert van Geemen, Pierandrea Vergallo·Mar 14, 2024SaveLearn
On a criterion for a cutoff regularization in the coordinate representationThe paper discusses an applicability criterion for a cutoff regularization in the coordinate representation in the Euclidean space with a dimension larger than two. It is shown that the set of…A. V. Ivanov·Mar 14, 2024SaveLearn
Deep Learning Based Dynamics Identification and Linearization of Orbital Problems using Koopman TheoryThe study of the Two-Body and Circular Restricted Three-Body Problems in the field of aerospace engineering and sciences is deeply important because they help describe the motion of both celestial…George Nehma, Madhur Tiwari, Manasvi Lingam·Mar 13, 2024SaveLearn
Classical Limits of Hilbert Bimodules as Symplectic Dual PairsHilbert bimodules are morphisms between C*-algebraic models of quantum systems, while symplectic dual pairs are morphisms between Poisson geometric models of classical systems. Both of these…Benjamin H. Feintzeig, Jer Steeger·Mar 12, 2024SaveLearn
Vortices and FactorizationWe review applications of factorization methods to the problem of finding stationary point vortex patterns in two-dimensional fluid mechanics. Then we present a new class of patterns related to…Igor Loutsenko, Oksana Yermolayeva·Mar 12, 2024SaveLearn
From the Fokker-Planck equation to a contact Hamiltonian systemThe Fokker-Planck equation is one of the fundamental equations in nonequilibrium statistical mechanics, and this equation is known to be derived from the Wasserstein gradient flow equation with a…Shin-itiro Goto·Mar 12, 2024SaveLearn
Elliptic analogue of Vershik-Kerov limit shapeWe review the limit shape problem for the Plancherel measure and its generalizations found in supersymmetric gauge theory instanton count. We focus on the measure, interpolating between the…Andrey Grekov, Nikita Nekrasov·Mar 11, 2024SaveLearn
Algebraic Bethe ansatz approach to the correlation functions of the one-dimensional bosons with attractionWe consider a model of a one-dimensional Bose gas with attraction. We study ground state equal-time correlation functions in this model using the algebraic Bethe ansatz. In cases of strong…N. A. Slavnov·Mar 11, 2024SaveLearn
Asymptotics of the finite-temperature sine kernel determinantIn the present paper, we study the asymptotics of the Fredholm determinant D(x,s) of the finite-temperature deformation of the sine kernel, which represents the probability that there is no…Shuai-Xia Xu·Mar 11, 2024SaveLearn
Absence of ground states for anionsWe show that the N-electron Hamiltonian H(N, Z) with the total nuclear charge Z has no normalizable ground state if the ground state energy E(N, Z) satisfies E(N, Z)= E(N-1, Z) for Z=N-1.…Yukimi Goto·Mar 11, 2024SaveLearn
On the group-theoretical approach to energy quantization of a perturbed vortex ring: spectrum calculating in the pipe-type domainIn this study, the problem of the energy spectrum of a quantum vortex loop moving in a thin long pipe is solved for the first time. We quantize this dynamic system using a new method, which leads to…S. V. Talalov·Mar 11, 2024SaveLearn
On the rational invariants of quantum systems of n-qubitsFor an n-qubit system, a rational function on the space of mixed states which is invariant with respect to the action of the group of local symmetries may be viewed as a detailed measure of…Luca Candelori, Vladimir Y. Chernyak, John R. Klein·Mar 11, 2024SaveLearn
Ergodic properties of one-dimensional incommensurate bilayer materialsWe consider one-dimensional deterministic and random tight-binding Hamiltonians modeling electronic properties of twisted bilayer materials. When the twisted structure is incommensurate, we prove…Nathan J. Essner, Jeremiah Williams, Alexander B. Watson·Mar 10, 2024SaveLearn
Special Features of the Upper Half-Plane in Semiclassical TheoryWe study conditions that the semiquantised Riemannian metric gQ and Levi-Civita connection ∇Q have the same form as classical one in semiclassical theory. Concrete examples of…Hirotaka Wakuta·Mar 9, 2024SaveLearn