On the detectability of paraparticles beyond bosons and fermionsIn this paper I present the state of the art concerning the theoretical detectability (and the open challenges for the experimental detectability) of a special class of paraparticles beyond bosons…Francesco Toppan·Nov 27, 2024SaveLearn
Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS statesThis book offers a comprehensive introduction to spectral networks from a unified viewpoint that bridges geometry with the physics of supersymmetric gauge theories. It provides the foundational…Clarence Kineider, Georgios Kydonakis, Eugen Rogozinnikov et al.·Nov 27, 2024SaveLearn
Wave scattering at a rectangular junction of four waveguidesWe consider the scattering of linear waves in two dimensions by a rectangular region at the junction of four waveguides. A solution to the frequency domain problem is obtained by exploiting…Afnan A. Aldosri, Michael H. Meylan, Ben Wilks·Nov 27, 2024SaveLearn
The exotic structure of the spectral ζ-function for the Schr\"odinger operator with P\"oschl--Teller potentialThis work focuses on the analysis of the spectral ζ-function associated with a Schr\"odinger operator endowed with a P\"oschl--Teller potential. We construct the spectral ζ-function…Guglielmo Fucci, Jonathan Stanfill·Nov 26, 2024SaveLearn
Variational Dual Solutions of Chern-Simons TheoryA scheme for generating weakly lower semi-continuous action functionals corresponding to the Euler-Lagrange equations of Chern-Simons theory is described. Coercivity is deduced for such a functional…Amit Acharya, Janusz Ginster, Ambar N. Sengupta·Nov 26, 2024SaveLearn
[Locally Conformal Higher Order Lagrangian DynamicsThis work presents higher order Lagrangian dynamics possessing locally conformal character. More concretely, locally conformal higher order Euler-Lagrange equations are written with particular focus…Serdar Çite, Oğul Esen·Nov 26, 2024SaveLearn
Right invariant Poisson Nijenhuis structures on Lie groupoids Correspondence and ClassificationIn this paper, we introduce right-invariant Poisson-Nijenhuis Structures on Lie groupoids and their infinitesimal counterparts as called (Poisson bivector, Nijenhuis operator) structures. Also, we…Ghorbanali Haghighatdoost·Nov 26, 2024SaveLearn
Noncommutative Jacobi identity, and gauge theoryWe prove the noncommutative analogue of Jacobi triple product identity. As an application we organizing the q-characters of circular quiver gauge theories into an infinite product. We conjecture the…Andrei Grekov, Nikita Nekrasov·Nov 26, 2024SaveLearn
Law of Large Numbers and Central Limit Theorem for random sets of solitons of the focusing nonlinear Schr\"odinger equationWe study a random configuration of N soliton solutions N(x,t;λ) of the cubic focusing Nonlinear Schr\"odinger (fNLS) equation in one space dimension. The N soliton…Manuela Girotti, Tamara Grava, Ken D. T-R McLaughlin et al.·Nov 26, 2024SaveLearn
On finite-temperature Fredholm determinantsWe consider finite-temperature deformation of the sine kernel Fredholm determinants acting on the closed contours. These types of expressions usually appear as static two-point correlation functions…Oleksandr Gamayun, Yuri Zhuravlev·Nov 25, 2024SaveLearn
Out-of-Time Ordered Correlator for a Chaotic Many-Body Quantum SystemUsing the parametric representation of a chaotic many-body quantum system derived earlier, we calculate explicitly the large-time dependence and asymptotic value of the out-of-time correlator (OTOC)…Hans A. Weidenmüller·Nov 25, 2024SaveLearn
Resonant signal reversal in a waveguide connected to a resonatorIt has been proven that when connecting two infinite semi-cylinders or waveguides with a finite cylinder or resonator at a certain frequency, it is possible to transmit a signal almost completely…Andrey L. Delitsyn, Irina K. Troshina·Nov 25, 2024SaveLearn
Rota-Baxter operators on crossed modules of Lie groups and categorical solutions of the Yang-Baxter equationIn this paper, we construct a categorical solution (, R) of the Yang-Baxter equation, i.e. is a small category and R: ×× is an invertible functor…Jun Jiang·Nov 25, 2024SaveLearn
Computing marginal eigenvalue distributions for the Gaussian and Laguerre orthogonal ensemblesThe Gaussian and Laguerre orthogonal ensembles are fundamental to random matrix theory, and the marginal eigenvalue distributions are basic observable quantities. Notwithstanding a long history, a…Peter J. Forrester, Santosh Kumar, Bo-Jian Shen·Nov 23, 2024SaveLearn
Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchiesFor two generalized Frobenius manifolds related by a Legendre-type transformation, we show that the associated integrable hierarchies of hydrodynamic type, which are called the Legendre-extended…Si-Qi Liu, Haonan Qu, Youjin Zhang·Nov 23, 2024SaveLearn
Twice Fourier transformable measures and diffraction theoryMathematical diffraction theory has been developed since about 1995. Hof's initial approach relied on tempered distributions in euclidean space. Nowadays often the Fourier theory by Argabright and…Hans G. Feichtinger, Christoph Richard, Christoph Schumacher et al.·Nov 22, 2024SaveLearn
Entropic Fluctuation Theorems for the Spin-Fermion ModelWe study entropic fluctuations in the Spin-Fermion model describing an N-level quantum system coupled to several independent thermal free Fermi gas reservoirs. We establish the quantum…Tristan Benoist, Laurent Bruneau, Vojkan Jakšić et al.·Nov 22, 2024SaveLearn
Fixed Points of Completely Positive Trace-Preserving Maps in Infinite DimensionCompletely positive trace-preserving maps S, also known as quantum channels, arise in quantum physics as a description of how the density operator of a system changes in a given time…Roderich Tumulka, Jonte Weixler·Nov 22, 2024SaveLearn
Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal ProductBopp shifts, introduced in 1956, played a pivotal role in the statistical interpretation of quantum mechanics. As demonstrated in our previous work, Bopp's construction provides a phase-space…Maurice de Gosson·Nov 21, 2024SaveLearn
Mathematical aspects of space-time horizontal ray methodThe following development of the well-known "vertical modes and horizontal rays" approach for acoustic waves propagation in shallow water, introduced in different works, is studied. In this approach…Aleksandr Kaplun, Boris Katsnelson·Nov 21, 2024SaveLearn
A rigorous Peierls-Onsager effective dynamics for semimetals in long-range magnetic fieldsWe consider periodic (pseudo)differential elliptic operators of Schr\"odinger type perturbed by weak magnetic fields not vanishing at infinity, and extend our previous analysis in…Horia D. Cornean, Bernard Helffer, Radu Purice·Nov 21, 2024SaveLearn
On the Classification of the L\'evy-Leblond SpinorsThe first-order L\'evy-Leblond differential equations (LLEs) are the non-relativistic analogous of the Dirac equation: they are the "square roots" of the Schr\"odinger equation in (1+d) dimensions…Luiza Miranda, Isaque P. de Freitas, Francesco Toppan·Nov 21, 2024SaveLearn
Global well-posedness in a Hartree-Fock model for grapheneGraphene is a monolayer graphitic film in which electrons behave like two-dimensional Dirac fermions without mass. Its study has attracted a wide interest in the domain of condensed matter physics.…William Borrelli, Umberto Morellini·Nov 21, 2024SaveLearn
On the geometry of isomonodromic deformations on the torus and the elliptic Calogero-Moser systemWe consider isomonodromic deformations of connections with a simple pole on the torus, motivated by the elliptic version of the sixth Painlev\'e equation. We establish an extended symmetry,…Mohamad Alameddine·Nov 21, 2024SaveLearn
Long-range effects in asymptotic fields and angular momentum of classical field electrodynamicsAsymptotic properties of classical field electrodynamics are considered. Special attention is paid to the long-range structure of the electromagnetic field. It is shown that conserved Poincare…Andrzej Herdegen·Nov 21, 2024SaveLearn