Scattering and inverse scattering for multipoint potentials at high energiesWe consider the Schr\"odinger equation with a multipoint potential of Bethe-Peierls-Thomas-Fermi type. For this singular potential, we develop scattering and inverse scattering at high energies. In…P. C. Kuo, R. G. Novikov·Apr 14, 2026SaveLearn
Conservative field equations and scalar fields (equations for leptons)This paper proposes SU(2)-gauge-invariant field equations involving interaction with a scalar field. A connection with the Dirac equation is discussed.Nikolay Marchuk·Apr 14, 2026SaveLearn
Generalised (bi-)Hamiltonian structures of hydrodynamic type and (bi-)flat F-manifoldsWe introduce the notions of generalised (bi-)Hamiltonian structures which generalise naturally the (bi-)Hamiltonian structures of evolutionary partial differential equations. In the hydrodynamic…Paolo Lorenzoni, Zhe Wang·Apr 14, 2026SaveLearn
Contact Geometry of Relativistic Particle MotionWe introduce a new geometric framework for relativistic particle dynamics based on contact geometry and suitable for treating dissipative processes like particle decay. The dynamics is formulated on…Begum Atesli, Ogul Esen, Michal Pavelka·Apr 14, 2026SaveLearn
The parity operator for parafermions and parabosonsIn this paper we reexamine the definition of parafermions and parabosons by means of Green's triple relations, and extend these relations by including a parity operator P which is also determined…N. I. Stoilova, J. Van der Jeugt·Apr 14, 2026SaveLearn
A variationally consistent mesoscopic Cosserat theory with distributed defects and configurational forcesWe develop a variationally consistent mesoscopic extension of Cosserat elasticity motivated by the breakdown of compatibility in classical formulations. By admitting compatibility-breaking…Lev Steinberg·Apr 14, 2026SaveLearn
Quantum mechanical model for charge excitation: Surface binding and dispersionBy an idealized quantum mechanical model, we formally describe the dispersion of nonretarded electromagnetic waves that express charge density oscillations near a fixed plane in three spatial…Dionisios Margetis·Apr 13, 2026SaveLearn
Feynman's linear divergence problemFirst, we consider generalized wave and scattering operators and derive modifications of commutation relations (between scattering operators and unperturbed operators) when the corresponding…Alexander Sakhnovich, Lev Sakhnovich·Apr 13, 2026SaveLearn
Miniatures on Open Quantum SystemsWe presents a unified and concise exposition of key topics in the mathematical theory of open quantum systems, developed within the framework of operator algebras. The manuscript consolidates and…Jan Derezinski, Vojkan Jaksic, Claude-Alain Pillet·Apr 13, 2026SaveLearn
On the renormalization and quantization of topological-holomorphic field theoriesTopological field theories and holomorphic field theories naturally appear in both mathematics and physics. However, there exist intriguing hybrid theories that are topological in some directions and…Minghao Wang, Brian R. Williams·Apr 13, 2026SaveLearn
No-Go Theorem for Quasiparticle BECWe discuss a no-go theorem for Bose-Einstein condensation (BEC) of quasiparticles (phonons) from the viewpoint of operator algebras, using the van Hove model. The β-KMS states of the van Hove…Yoshitsugu Sekine·Apr 12, 2026SaveLearn
A second order upper bound to the free energy of the two dimensional Bose gasWe consider a two-dimensional Bose gas in the dilute regime where a2 is small. For temperatures below the Berezinskii-Kosterlitz-Thouless critical temperature, we derive an explicit upper…Florian Haberberger, Lukas Junge·Apr 11, 2026SaveLearn
Dual contractions and algebraic familiesWe introduce a duality for In\"on\"u-Wigner contractions attached to real symmetric Lie algebras. Starting from a symmetric pair (g,θ), we define a dual real form…Eyal Subag·Apr 11, 2026SaveLearn
Strictly correlated electrons in a quantum ring: from Kohn-Sham to Kantorovich potentialsOur goal in this paper is twofold. First, we characterize the class of pairwise interactions for which the Seidl conjecture on the structure of optimal plans for the symmetric multimarginal optimal…Thiago Carvalho Corso·Apr 10, 2026SaveLearn
Heat and thermal travelling wave solutions of a nonlinear Maxwell-Cattaneo-Vernotte equationThe propagation of heat and thermal signals in the form of travelling waves is investigated for a nonlinear Maxwell-Cattaneo-Vernotte equation. The exact wave solutions are derived by expressing the…Munafò Carmelo Filippo, Rogolino Patrizia, Sciacca Michele·Apr 10, 2026SaveLearn
Periodicity in Ergodic Quantum ProcessesWe study the periodic properties of sequences of quantum channels sampled from an ergodic stochastic process satisfying a natural irreducibility condition. We relate these periodic properties to…Owen Ekblad, Jeffrey Schenker·Apr 10, 2026SaveLearn
Characteristic polynomials of non-Hermitian random band matrices near the thresholdThe paper arXiv:2510.04255 shows that the asymptotic behavior of the second correlation function of characteristic polynomials of the N× N non-Hermitian random band matrices with a bandwidth…Mariya Shcherbina, Tatyana Shcherbina·Apr 10, 2026SaveLearn
Scalar Truesdell Time Derivative and (L2,H-1) -- Surface Gradient FlowsWe address surface gradient flows which allow for energy dissipation by evolving the surface and a scalar quantity on it, simultaneously. A proper choice of the time derivative and the gauge of…Rainer Backofen, Ingo Nitschke, Axel Voigt·Apr 9, 2026SaveLearn
A unified 4D phase-space framework for two-level quantum dynamics: open-source libraryWe present a numerical scheme for simulating the 2D quantum dynamics of a two-level particle gas with internal degrees of freedom such as spin, pseudo-spin, or a two-band electronic structure. We…O. Morandi·Apr 9, 2026SaveLearn
The Schwarz function and the shrinking of the Szego curve: electrostatic, hydrodynamic, and random matrix modelsWe study the deformation of the classical Szego curve γ0 given by γt = \ z∈C: |z\, e1-z| = e-t, |z|≤ 1\, t≥ 0 from three different viewpoints: an…Gabriel Álvarez, Luis Martínez Alonso, Elena Medina·Apr 9, 2026SaveLearn
Variational derivation of the homogeneous Boltzmann equationWe introduce a variational formulation of the homogeneous Boltzmann equation, with hard-sphere cross section, which selects the unique energy conserving solution. We prove that this solution arises…Giada Basile, Dario Benedetto, Carlo Orrieri·Apr 8, 2026SaveLearn
Noether-Type Theorems and the Generalized Herglotz Principle in q-Contact GeometryWe develop a unified geometric framework for dissipative mechanical systems based on uniform q-contact manifolds, which provide an extended phase space equipped with multiple contact 1-forms.…Melvin Leok, Cristina Sardón, Xuefeng Zhao·Apr 7, 2026SaveLearn
Analyticity, asymptotics and natural boundary for a one-point function of the finite-volume critical Ising chainThis note reports the following observation: the finite-volume expectation value of the spin operator (the one-point function) between the Z2-even and odd ground states in the critical…Yizhuang Liu·Apr 7, 2026SaveLearn
Analytic exact solutions to the nonlinear Dirac equationWe present analytic exact solutions to the nonlinear Dirac equation: they display a ring singularity for the Nambu--Jona-Lasinio nonlinearity and a shell singularity for the Soler nonlinearity. For…Luca Fabbri, Roberto Cianci·Apr 7, 2026SaveLearn
On some topological and spectral properties of kinetic Langevin processes driven by L\'evy noisesWe investigate several fundamental properties of kinetic Langevin processes in R2d, defined as solutions to the following system: dx\t = v\t \, dt, dv\t = B(x\t,…T Batisse, A Guillin, B Nectoux et al.·Apr 7, 2026SaveLearn