Superintegrability in the interaction of two particles with spin: First-order pseudo-scalar integrals of motionIn recent work, we initiated a research program aimed at the systematic investigation of quantum superintegrable systems describing the interaction of two non-relativistic spin-1/2 particles in…Fatih Turkkan, O. Ogulcan Tuncer, I. Yurdusen·May 8, 2026SaveLearn
Volume-Independent Spectral Stability of Energy-Truncated Effective Hamiltonians in Quantum Spin SystemsWe prove a volume-uniform effective-Hamiltonian theorem for bounded finite-range quantum spin systems on possibly infinite lattices. For any finite target region, we construct an energy-truncated…Ayumi Ukai·May 8, 2026SaveLearn
Quantitative propagation of chaos for Lindblad dynamicsWe consider an open quantum system governed N-body Lindblad equation and study mean-field limits in this setting. We prove that the N-particle dynamics converges, in the sense of quantum relative…Nina H. Amini, Sofiane Chalal·May 7, 2026SaveLearn
A Note on the Construction of Trial States for the Dilute Bose GasWe review how the local particle number cutoff introduced in [11] is used to build trial states for the dilute Bose gas that capture the substantial correlation structure of the ground state in the…Morris Brooks, Jakob Oldenburg, Diane Saint Aubin·May 7, 2026SaveLearn
Eigenstates with Infinite Position MomentsWe prove necessary and sufficient conditions for the Schr\"odinger operators to have zero-energy bound states at the threshold of the essential spectrum such that they have bounded k-th moment.…Michal Jex·May 7, 2026SaveLearn
Dynamical cooling driven by self-similar fronts in the 2D nonlinear Schr\"odinger modelWe analyze the dynamics towards partial thermalization and subsequent cooling in the defocusing two-dimensional nonlinear Schr\"odinger model, using direct simulations and insights from the…Jason Laurie, Simon Thalabard, Sergey Nazarenko·May 7, 2026SaveLearn
Non-relativistic limit of generalized relativistic Pauli operators by Feynman-Kac formulaeThe non-relativistic limit of a generalized relativistic Pauli operator\[HcS,α=(2cβ(σ·(-i∇-a))2+(mcγ)2/α)α/2-mcγ+V\]on…Soichiro Sakamoto·May 7, 2026SaveLearn
Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocksFor the Heun differential equation and all of its confluent equations, we derive formal series expansions of the accessory parameters using the Voros periods. We then compare these expansions with…Kohei Iwaki, Hajime Nagoya, Ayato Shukuta·May 7, 2026SaveLearn
Equivariant Poisson 2-Algebra Bundles over Configuration SpacesWe study equivariant vector bundles over configuration spaces with diagonals included, viewed as orbifold quotients Mn/Sn by permutation groups. Working in the equivalent language of…Hai Châu Nguyên·May 6, 2026SaveLearn
Time-Dependent Dynamical Dimensional Transmutation in the SU(2) Gross-Neveu Model with Time-Dependent Interaction StrengthIn this work we study driven SU(2) Gross-Neveu (GN) model whose time-dependent interaction strength is constrained by quantum integrability within the recently developed generalized Bethe ansatz…Parameshwar R. Pasnoori·May 6, 2026SaveLearn
Anchored random clusters and SLE excursionsWe provide a pedagogical review of CFT techniques to compute certain Schramm-Loewner Evolution (SLE) observables in the upper half-plane. The approach relies on the ability to express the observables…Federico Camia, Valentino F. Foit, Rongvoram Nivesvivat·May 6, 2026SaveLearn
Symmetry Breaking and Phase Transitions in Random Non-Commutative Geometries and Related Random-Matrix EnsemblesEnsembles of random fuzzy non-commutative geometries may be described in terms of finite (\(N2\)-dimensional) Dirac operators and a probability measure. Dirac operators of type \((p,q)\) are defined…Mauro D'Arcangelo, Sven Gnutzmann·May 6, 2026SaveLearn
Pade Approximants for GeodesyIn this note we analyze the use of Pad\'e approximants for downward continuation beyond the radius of convergence of spherical harmonic expansions (SHEs), and for identifying the complex…Ovidiu Costin, Gerald V. Dunne, Crichton Ogle·May 5, 2026SaveLearn
Two Regularized Determinants of Laplacian through Resurgence theoryWe study two types of regularizations of the determinant of Laplacian on Riemann manifold from the viewpoint of resurgence theory. One is the formal logarithmic derivative of the determinant, and the…Wen Shen, Shanzhong Sun·May 5, 2026SaveLearn
On Algebras of Functions over Infinite DimensionsWe introduce a family of reproducing kernel Hilbert spaces A of holomorphic functions defined on an infinite--dimensional domain in a separable Hilbert space, H. The…Dimitrios Giannakis, Mohammad Javad Latifi Jebelli, Michael Montgomery·May 4, 2026SaveLearn
Generalized Kontsevich model, topological recursion, and r-spin theoryBy employing polynomial-reduced KP integrability, combined with the string equation, this work establishes explicit relationships between the generalized Kontsevich model, the topological recursion…Shuai Guo, Ce Ji, Chenglang Yang et al.·May 4, 2026SaveLearn
On the Ultraviolet Problem for the Ground State Energy of the Translation-Invariant Pauli--Fierz Model at Zero Total MomentumWe study the ground state energy of the Pauli--Fierz model in the absence of external potentials. We consider the fiber decomposition of the Pauli--Fierz operator with respect to the spectral values,…Volker Bach, Miguel Ballesteros, Merten Mlinarzik·May 4, 2026SaveLearn
A constructive approach to generalized principal connectionsWe address the recently introduced notions of generalized principal bundle and generalized principal connection by keeping track of global geometric properties through local coordinate transformation…Lorenzo Fatibene, Hartwig Winterroth·May 3, 2026SaveLearn
Properties of tensorial free cumulantsIn the past two years, several points of view have been proposed to address the question of the generalization of the theory of free probability to random tensors with different invariances, and it…Thomas Buc-d'Alché, Luca Lionni·May 3, 2026SaveLearn
A position dependent mass Hamiltonian and abstract ladder operatorsWe consider the Hamiltonian H of a particle in one dimension with a position dependent mass for which we apply the recent strategy of the so-called abstract ladder operators, in the attempt…Fabio Bagarello, Emanuele Balistreri, Antonino Faddetta·May 2, 2026SaveLearn
The Haar measure of the p-adic rotation group SO(3)p via nautical anglesWe study the explicit construction of the Haar measure on the compact p-adic rotation group SO(3)p by nautical (Cardano) parametrization. Exploiting its topological group isomorphism…Lorenzo Guglielmi, Stefano Mancini, Vincenzo Parisi et al.·May 2, 2026SaveLearn
Reflection Symmetry, APS Boundary Conditions, and Equivariant Spectral Flow on a Warped CylinderWe study reflection symmetry and Atiyah-Patodi-Singer (APS) boundary conditions for twisted Dirac operators on a finite warped cylinder. For a complex line twist with holonomy parameter A, we show…Taro Kimura, Sanchita Sharma·May 1, 2026SaveLearn
Strong-disorder expansion of the root-averaged density of states for the Anderson model on the Bethe latticeWe study the root-averaged density of states for the Anderson model on the Bethe lattice in the strong-disorder regime. Here the density of states means the root-averaged spectral measure, not a…Masahiro Kaminaga·May 1, 2026SaveLearn
Generalized Fourier Transforms for Momentum-Space Construction on Riemannian ManifoldsWe extend Fourier analysis to curved spaces by defining a Generalized Fourier Transform (GFT) on any Riemannian manifold via spectral decomposition. Under minimal requirements that the…Seramika Ariwahjoedi, Muhammad Farchani Rosyid, Andika Kusuma Wijaya·May 1, 2026SaveLearn
Unraveling the Bott spiralWe construct and compute a homotopy-theoretic model for the Bott spiral of symmetry-protected topological phases (SPTs) studied by Queiroz--Khalaf--Stern. We model free and interacting fermionic SPTs…Arun Debray, Cameron Krulewski, Luuk Stehouwer·May 1, 2026SaveLearn