Inverse problems related to electrical networks and the geometry of non-negative GrassmanniansWe provide a new solution to the classical black box problem (the discrete Calderon problem) in the theory of circular electrical networks. Our approach is based on the explicit embedding of…A. A. Kazakov·Feb 23, 2025SaveLearn
Equidistant versus bipartite ground states for 1D classical fluids at fixed particle densityWe study the ground-state properties of one-dimensional fluids of classical (i.e., non-quantum) particles interacting pairwisely via a potential, at the fixed particle density . Restricting…Laurent Bétermin, Ladislav Šamaj, Igor Travěnec·Feb 23, 2025SaveLearn
Probabilistic construction of the H3-Wess-Zumino-Witten conformal field theory and correspondence with Liouville theoryWess-Zumino-Witten (WZW) models are among the most basic and most studied Conformal Field Theories (CFT). They have had a huge influence not only in physics but also in mathematics, in representation…Colin Guillarmou, Antti Kupiainen, Rémi Rhodes·Feb 22, 2025SaveLearn
Emergence of the polydeterminant in QCDA generalization of the determinant appears in particle physics in effective Lagrangian interaction terms that model the chiral anomaly in Quantum Chromodynamics (PRD 97 (2018) 9, 091901 PRD 109…Francesco Giacosa, Michał Zakrzewski, Shahriyar Jafarzade et al.·Feb 21, 2025SaveLearn
Bound on the Excess Charge of Generalized Thomas-Fermi-Weizs\"acker FunctionalsWe bound the number of electrons Q that an atom can bind in excess of neutrality for density functionals generalizing the classical Thomas-Fermi-Weizs\"acker functional: instead of the classical…Rafael D. Benguria, Heinz Siedentop·Feb 21, 2025SaveLearn
Emergence of coupled Korteweg-de Vries equations in m fieldsThe Korteweg-de Vries (KdV) equation is of fundamental importance in a wide range of subjects with generalization to multi-component systems relevant for multi-species fluids and cold atomic…Sharath Jose, Manas Kulkarni, Vishal Vasan·Feb 21, 2025SaveLearn
Foundational aspects of spinor structures and exotic spinorsSpinors are mathematical objects susceptible to the spacetime characteristics upon which they are defined. Not all spacetimes admit spinor structure; when it does, it may have more than one spinor…J. M. Hoff da Silva·Feb 21, 2025SaveLearn
Random walks with homotopic spatial inhomogeneitiesIn this work we study a generalization of the standard random walk, an homotopic random walk (HRW), using a deformed translation unitary step that arises from a homotopy of the position-dependent…Ignacio S Gomez, Daniel Rocha de Jesus, Ronaldo Thibes·Feb 20, 2025SaveLearn
Rozenfeld's Geometric Approach to SpinorsRosenfeld's geometric approach to spinors is considered, according to which the coordinates of spinors are represented by the coordinates of the plane generators of the maximal dimension of the…V. V. Varlamov·Feb 20, 2025SaveLearn
Regularized interacting scalar quantum field theoriesIn this paper we consider self interacting scalar quantum field theories over a d dimensional Minkowski spacetime with various interaction Lagrangians which are suitable functions of the field. The…Nicola Pinamonti·Feb 19, 2025SaveLearn
Noise-driven Synchronization of Vicsek Model in MeanThe Vicsek model has long stood as a pivotal framework in exploring collective behavior and self-organization, captivating the scientific community with its compelling dynamics. However,…Wei Su, Yongguang Yu, Ge Chen·Feb 19, 2025SaveLearn
Stäckel transform, coupling constant metamorphosis and algebraization of quasi-exactly solvable systemsWe generalize the notions of the Stäckel transform and the coupling constant metamorphosis to quasi-exactly solvable systems. We discover that for a variety of one-dimensional and separable…Siyu Li, Ian Marquette, Yao-Zhong Zhang·Feb 19, 2025SaveLearn
The Canonical Forms of Matrix Product States in Infinite-Dimensional Hilbert SpacesIn this work, we prove that any element in the tensor product of separable infinite-dimensional Hilbert spaces can be expressed as a matrix product state (MPS) of possibly infinite bond dimension.…Niilo Heikkinen·Feb 18, 2025SaveLearn
Geometric Flavours of Quantum Field Theory on a Cauchy Hypersurface: Gaussian Analysis for the Hamiltonian Formalism and Applications to CosmologyThis thesis explores Quantum Field Theory (QFT) on curved spacetimes using a geometric Hamiltonian approach to the Schr\"odinger-like representation. In particular it studies the theory of the scalar…David Martínez-Crespo·Feb 18, 2025SaveLearn
Semiclassical scar on tori in high dimensionWe show that the eigenfunctions of the self-adjoint elliptic h-differential operator Ph(t) exhibits semiclassical scar phenomena on the d-dimensional torus, under the…Huanhuan Yuan, Yong Li·Feb 17, 2025SaveLearn
On alleged solutions of the cubically nonlinear Schr\"odinger equationOn the basis of analytical results, we present a numerical example that indicates inconsistency of a widely used ansatz with cubically nonlinear Schr\"odinger equation.Hans Werner Schuermann, Valery Serov·Feb 14, 2025SaveLearn
The bilinear fermionic form for KP and BKP hierarchiesFor a tau-function of the KP or BKP hierarchy, we introduce the notion of lifting operator and derive an equation connecting the corresponding fermionic two-point function and fermionic one-point…Shuai Guo, Ce Ji, Chenglang Yang·Feb 13, 2025SaveLearn
Exact physical quantities of the D2(2) spin chain model with generic open boundary conditionsWe study the quantum integrable spin chain model associated with the twisted D2(2) algebra (or simply the D2(2) model) under generic open boundary conditions. The Hamiltonian of this…Pengcheng Lu, Junpeng Cao, Wen-Li Yang et al.·Feb 13, 2025SaveLearn
A Jensen inequality for partial traces and applications to partially semiclassical limitsWe prove a matrix inequality for convex functions of a Hermitian matrix on a bipartite space. As an application we reprove and extend some theorems about eigenvalue asymptotics of Schr\"odinger…Eric A. Carlen, Rupert L. Frank, Simon Larson·Feb 13, 2025SaveLearn
On Zero Energy States in SUSY Quantum Mechanics on ManifoldsWe study the zero modes of the operator Hf=D*fDf, with a Dirac type operator Df, acting on the spinor bundle over a closed even dimensional Riemannian manifold M. The operator Df=D+ifI…Ivan G. Avramidi·Feb 13, 2025SaveLearn
Qusicryslals in Vernam cipherWe propose a modification of the classical Vernam cipher based on properties of one-dimensional quasicrystals. The method uses the sequence of quasicrystal minimal distances as an one-time pad. The…Maryna Nesterenko, Severin Posta·Feb 13, 2025SaveLearn
Constructing optimal Wannier functions via potential theory: isolated single band for matrix modelsWe present a rapidly convergent scheme for computing globally optimal Wannier functions of isolated single bands for matrix models in two dimensions. The scheme proceeds first by constructing…Hanwen Zhang·Feb 12, 2025SaveLearn
Higher-order continuum models for twisted bilayer grapheneThe first-order continuum PDE model proposed by Bistritzer and MacDonald in bistritzer2011moire accurately describes the single-particle electronic properties of twisted bilayer graphene (TBG)…Solomon Quinn, Tianyu Kong, Mitchell Luskin et al.·Feb 12, 2025SaveLearn
Local topological order and boundary algebrasWe introduce a set of axioms for locally topologically ordered quantum spin systems in terms of nets of local ground state projections, and we show they are satisfied by Kitaev's Toric Code and…Corey Jones, Pieter Naaijkens, David Penneys et al.·Feb 12, 2025SaveLearn
Exact Schwinger functions for a class of bounded interactions in d≥ 2We consider a scalar Euclidean QFT with interaction given by a bounded, measurable function V such that V:=w ∞V(w) exist. We find a field renormalization such that all the…Wojciech Dybalski·Feb 11, 2025SaveLearn