Skip to content

Mathematical Physics papers — page 214

math-phBrowse archive

Polarization of generalized Nijenhuis torsions
In this work, we introduce the notion of polarization of generalized Nijenhuis torsions and establish several algebraic identities. We prove that these polarizations are relevant in the…
Piergiulio Tempesta, Giorgio TondoSep 26, 2022
Learn
New Finite Type Multi-Indexed Orthogonal Polynomials Obtained From State-Adding Darboux Transformations
The Hamiltonians of finite type discrete quantum mechanics with real shifts are real symmetric matrices of order N+1. We discuss the Darboux transformations with higher degree (>N) polynomial…
Satoru OdakeSep 26, 2022
Learn
Griffiths inequalities for non-interacting rotors
We prove Griffiths inequalities for spins in n>1 dimensions with no interaction.
Ira HerbstSep 23, 2022
Learn
Energy expansions for dilute Bose gases from local condensation results: a review of known results
Non-relativistic interacting bosons at zero temperature, in two and three dimensions, are expected to exhibit a fascinating critical phase, famously known as condensate phase. Even though a proof of…
Giulia Basti, Cristina Caraci, Serena CenatiempoSep 23, 2022
Learn
One-body reduced density-matrix functional theory for the canonical ensemble
We establish one-body reduced density-matrix functional theory for the canonical ensemble in a finite basis set at an elevated temperature. Including temperature guarantees differentiability of the…
Sarina M. Sutter, Klaas J. H. GiesbertzSep 23, 2022
Learn
Geometric Gauge Freedom in Multisymplectic Field Theories
We use the kernel of a premultisymplecic form to classify its solutions, inspired by the work of M. Gotay and J. Nester. In the case of variational premultisymplectic forms, there is an equivalence…
Jordi GasetSep 22, 2022
Learn
Two-periodic weighted dominos and the sine-Gordon field at the free fermion point: I
In this paper we investigate the height field of a dimer model/random domino tiling on the plane at a smooth-rough (i.e. gas-liquid) transition. We prove that the height field at this transition has…
Scott MasonSep 22, 2022
Learn
The extended Bogomolny equations on R2 × R+ I: Nilpotent Higgs field
We study the extended Bogomolny equations with gauge group SU(2) on R2 × R+ with generalized Nahm pole boundary conditions and nilpotent Higgs field. We completely…
Panagiotis DimakisSep 22, 2022
Learn
Nonequilibrium thermodynamics as a symplecto-contact reduction and relative information entropy
Both statistical phase space (SPS), which is = T* R3N of N-body particle system, and kinetic theory phase space (KTPS), which is the cotangent bundle T* P() of…
Jin-wook Lim, Yong Geun OhSep 21, 2022
Learn
Hamiltonian facets of classical gauge theories on E-manifolds
Manifolds with boundary, with corners, b-manifolds and foliations model configuration spaces for particles moving under constraints and can be described as E-manifolds. E-manifolds were…
Pau Mir, Eva Miranda, Pablo NicolásSep 21, 2022
Learn
3-Body Problems, Hidden Constants, Trojans and WIMPs
This work includes two new results - principally two new constants of motion for the linearised restricted 3-body problem (e.g. for the Trojan asteroids) and an important isosceles triangle…
Aubrey Truman, Richard DurranSep 21, 2022
Learn
Exponential arcs in manifolds of quantum states
The manifold under consideration consists of the faithful normal states on a sigma-finite von Neumann algebra in standard form. Tangent planes and approximate tangent planes are discussed. A relative…
Jan NaudtsSep 21, 2022
Learn
Shadows of rationals and irrationals: supersymmetric continued fractions and the super modular group
This paper is an attempt to apply the tools of supergeometry to arithmetic. Supergeometric objects are defined over supercommutative rings of coefficients, and we consider an integral ring with…
Charles H. Conley, Valentin OvsienkoSep 21, 2022
Learn
Entanglement entropy of ground states of the three-dimensional ideal Fermi gas in a magnetic field
We study the asymptotic growth of the entanglement entropy of ground states of non-interacting (spinless) fermions in R3 subject to a non-zero, constant magnetic field perpendicular to a…
Paul Pfeiffer, Wolfgang SpitzerSep 20, 2022
Learn
Recurrence times, waiting times and universal entropy production estimators
The universal typical-signal estimators of entropy and cross entropy based on the asymptotics of recurrence and waiting times play an important role in information theory. Building on their…
Giampaolo Cristadoro, Mirko Degli Esposti, Vojkan Jakšić et al.Sep 20, 2022
Learn
Quasi-invariant states
We develop the theory of quasi--invariant (resp. strongly quasi--invariant) states under the action of a group G of normal *--automorphisms of a *--algebra (or von Neumann alegbra)…
Luigi Accardi, Ameur DhahriSep 20, 2022
Learn
Algebraic delocalization for the Schr\"odinger equation on large tori
Let L be a fixed d-dimensional lattice. We study the localization properties of solutions of the stationary Schr\"odinger equation with a positive L∞ potential on tori…
Henrik UeberschaerSep 20, 2022
Learn
Bethe ansatz diagonalization of the Heun-Racah operator
The Heun-Racah operator is diagonalized with the help of the modified algebraic Bethe ansatz. This operator is the most general bilinear expression in two generators of the Racah algebra. A…
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampe et al.Sep 19, 2022
Learn
Borel summability of the 1/N expansion in quartic O(N)-vector models
We consider a quartic O(N)-vector model. Using the Loop Vertex Expansion, we prove the Borel summability in 1/N along the real axis of the partition function and of the connected correlations of the…
Léonard Ferdinand, Razvan Gurau, Carlos I. Perez-Sanchez et al.Sep 19, 2022
Learn
Asymptotic expansions for a class of singular integrals emerging in non-linear wave systems
We find asymptotical expansions as 0 for integrals of the form ∫Rd F(x) / (ω(x)2 + 2)\, dx, where sufficiently smooth functions F and ω satisfy…
Andrey DymovSep 19, 2022
Learn
Multicontact formulation for non-conservative field theories
A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional conditions and…
Manuel de León, Jordi Gaset, Miguel Carlos Muñoz-Lecanda et al.Sep 19, 2022
Learn
Construction and application of exact solutions of the diffusive Lotka-Volterra system: a review and new results
This review summarizes all known results (up to this date) about methods of integration of the classical Lotka-Volterra systems with diffusion and presents a wide range of exact solutions, which are…
Roman Cherniha, Vasyl' DavydovychSep 19, 2022
Learn
A new canonical affine BRACKET formulation of Hamiltonian Classical Field theories of first order
It has been a long standing question how to extend the canonical Poisson bracket formulation from classical mechanics to classical field theories, in a completely general, intrinsic, and canonical…
François Gay-balmaz, Juan C. Marrero, Nicolás MartínezSep 19, 2022
Learn
On the solutions of universal differential equation by noncommutative Picard-Vessiot theory
Basing on Picard-Vessiot theory of noncommutative differential equations and algebraic combinatorics on noncommutative formal series with holomorphic coefficients, various recursive constructions of…
V. C. Bui, V. Hoang Ngoc Minh, V. Nguyen Dinh et al.Sep 18, 2022
Learn
The evolution of the electric field along optical fiber for the type-2 and 3 PAFs in Minkowski 3-space
In this paper, we introduce the type-2 and the type-3 Positional Adapted Frame(PAF) of spacelike curve and timelike curve in Minkowski 3-space. From these PAFs, we study the evolutions of the…
Nevin Ertug Gurbuz, Dae Won YoonSep 16, 2022
Learn
← PreviousPage 214Next →