A phase space localization operator in negative binomial statesWe are dealing with some spectral properties of a phase space localization operator PR corresponding to the indicator function of a disk of radius R < 1. The localization procedure is achieved with…Zouhair Mouayn, Soumia Touhami·Jan 18, 2024SaveLearn
Quantitative Hardy inequality for magnetic HamiltoniansIn this paper we present a new method of proof of Hardy type inequalities for two-dimensional quantum Hamiltonians with a magnetic field of finite flux. Our approach gives a quantitative lower bound…Luca Fanelli, Hynek Kovarik·Jan 18, 2024SaveLearn
One Dimensional Point Interactions and the Resolvent Algebra -- Simple RemarksThis paper shows that the resolvent algebra R( R2,σ ) can accommodate dynamics induced by self-adjoint Hamiltonians on L2( R ) describing…Antonio Moscato·Jan 17, 2024SaveLearn
Gravity Coupled with Scalar, SU(n), and Spinor Fields on Manifolds with Null-BoundaryIn this paper, we present a theory for gravity coupled with scalar, SU(n) and spinor fields on manifolds with null-boundary. We perform the symplectic reduction of the space of boundary fields and…Alberto S. Cattaneo, Filippo Fila-Robattino, Valentino Huang et al.·Jan 17, 2024SaveLearn
Eigenphase distributions of unimodular circular ensemblesMotivated by the study of Polyakov lines in gauge theories, Hanada and Watanabe recently presented a conjectured formula for the distribution of eigenphases of Haar-distributed random SU(N) matrices…Shinsuke Nishigaki·Jan 17, 2024SaveLearn
Infinitesimal and infinite numbers in applied mathematicsThe need to describe abrupt changes or response of nonlinear systems to impulsive stimuli is ubiquitous in applications. Also the informal use of infinitesimal and infinite quantities is still a…Aleksandr Bryzgalov, Kevin Islami, Paolo Giordano·Jan 16, 2024SaveLearn
Asymptotic Equivalence of Identification Operators in Geometric Scattering TheoryGiven two measures μ1 and μ2 on a measurable space X such that dμ2=1,2 \, dμ1 for some bounded measurable function 1,2:X (0,∞), there exist two natural…Batu Güneysu·Jan 16, 2024SaveLearn
Quantization as a Categorical EquivalenceWe demonstrate that, in certain cases, quantization and the classical limit provide functors that are "almost inverse" to each other. These functors map between categories of algebraic structures for…Benjamin H. Feintzeig·Jan 16, 2024SaveLearn
Hirota, Fay and GeometryThis is a review of the relationship between Fay identities and Hirota equations in integrable systems, reformulated in a geometric language compatible with recent Topological Recursion formalism. We…Bertrand Eynard, Soufiane Oukassi·Jan 16, 2024SaveLearn
Eigenvalue and pseudospectrum processes generated by nonnormal Toeplitz matrices with rank 1 perturbationsWe introduce two kinds of matrix-valued dynamical processes generated by nonnormal Toeplitz matrices with the additive rank 1 perturbations δ J, where δ ∈ C and J is the…Saori Morimoto, Makoto Katori, Tomoyuki Shirai·Jan 16, 2024SaveLearn
Feynman Graph Integrals on CdWe introduce a type of graph integrals which are holomorphic analogs of configuration space integrals. We prove their (ultraviolet) finiteness by considering a compactification of the moduli space of…Minghao Wang·Jan 16, 2024SaveLearn
Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensorIn this paper, we use a modified Abelian field strength tensor in Georgi-Glashow model and obtain a new Julia-Zee dyon equations which degenerated into the 't Hooft-Polyakov monopole equations when…Lei Cao, Yilu Xu·Jan 16, 2024SaveLearn
Torsion and Lorentz symmetry from Twisted Spectral TriplesBy twisting the spectral triple of a riemannian spin manifold, we show how to generate an orthogonal and geodesic preserving torsion from a torsionless Dirac operator. We identify the group of…Pierre Martinetti, Gaston Nieuviarts, Ruben Zeitoun·Jan 15, 2024SaveLearn
Alternative Gibbs measure for fertile three-state Hard-Core models on a Cayley treeWe consider fertile three-state Hard-Core (HC) models with the activity parameter λ>0 on a Cayley tree. It is known that there exist four types of such models: "wrench"\,, "wand"\,, "hinge"\,…Rustamjon Khakimov, Muhtorjon Makhammadaliev, Kamola Umrzakova·Jan 15, 2024SaveLearn
Fock space: A bridge between Fredholm index and the quantum Hall effectWe compute the quantized Hall conductance at various Landau levels by using the classic trace. The computations reduce to the single elementary one for the lowest Landau level. By using the theories…Guo Chuan Thiang, Jingbo Xia·Jan 15, 2024SaveLearn
Embezzlement of entanglement, quantum fields, and the classification of von Neumann algebrasWe study the quantum information theoretic task of embezzlement of entanglement in the setting of von Neumann algebras. Given a shared entangled resource state, this task asks to produce arbitrary…Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner et al.·Jan 14, 2024SaveLearn
Eigenfunctions and Quantum Transport with Applications to Trimmed Schrodinger OperatorsWe provide a simple proof of dynamical delocalization, that is, time-increasing lower bounds on quantum transport for discrete, one-particle Schrodinger operators on 2 (Zd), provided…Peter D> Hislop, Werner Kirsch, M. Krishna·Jan 14, 2024SaveLearn
On the interplay between boundary conditions and the Lorentzian Wetterich equationIn the framework of the functional renormalization group and of the perturbative, algebraic approach to quantum field theory (pAQFT), in [DDPR23] it has been derived a Lorentian version of a flow…Claudio Dappiaggi, Filippo Nava, Luca Sinibaldi·Jan 13, 2024SaveLearn
Dynamical Coherence MeasuresWe present three measures of the dynamical coherence of channels, which are the generalization of several previous results. The measures are based on the generalized distance function between…Anna Vershynina·Jan 13, 2024SaveLearn
Edge currents for the time-fractional, half-plane, Schrodinger equation with constant magnetic fieldWe study the large-time asymptotics of the edge current for a family of time-fractional Schrodinger equations with a constant, transverse magnetic field on a half-plane $(x,y) ∈ Rx+…Peter D. Hislop, Eric Soccorsi·Jan 13, 2024SaveLearn
Approximate solutions for the Vlasov--Poisson system with boundary layersWe construct the approximate solutions to the Vlasov--Poisson system in a half-space, which arises in the study of the quasi-neutral limit problem in the presence of a sharp boundary layer, referred…Chang-Yeol Jung, Bongsuk Kwon, Masahiro Suzuki et al.·Jan 12, 2024SaveLearn
Minimal surfaces in random environmentA minimal surface in a random environment (MSRE) is a surface which minimizes the sum of its elastic energy and its environment potential energy, subject to prescribed boundary conditions. Apart from…Barbara Dembin, Dor Elboim, Daniel Hadas et al.·Jan 12, 2024SaveLearn
Fractional index of Bargmann-Fock space and Landau levelsThe lowest Landau level Hilbert space, or the Bargmann-Fock space, admits a quantized trace for the commutator of its position coordinate operators. We exploit the Carey-Pincus theory of principal…Guo Chuan Thiang·Jan 12, 2024SaveLearn
The Causal Axioms of Algebraic Quantum Field Theory: A DiagnosticAlgebraic quantum field theory (AQFT) puts forward three "causal axioms" that aim to characterize the theory as one that implements relativistic causation: the spectrum condition, microcausality, and…Francisco Calderón·Jan 12, 2024SaveLearn
Lagrangian Relations and Quantum L∞ AlgebrasQuantum L∞ algebras are higher loop generalizations of cyclic L∞ algebras. Motivated by the problem of defining morphisms between such algebras, we construct a linear category of…Branislav Jurčo, Ján Pulmann, Martin Zika·Jan 11, 2024SaveLearn