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Mathematical Physics papers — page 137

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Separation of variables for Hitchin systems with the structure group SO(4), on genus two curves
Sets of points giving spectral curves can be regarded as phase coordinates of Hitchin systems. We address the problem of finding out trajectories of Hitchin systems in those coordinates. The problem…
Oleg K. SheinmanApr 20, 2024
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The Pauli-Villars regularised free energy of Dirac's vacuum in purely magnetic fields
The Dirac vacuum is a non-linear polarisable medium rather than an empty space. This non-linear behaviour starts to be significant for extremely large electromagnetic fields such as the magnetic…
Umberto MorelliniApr 19, 2024
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Geometry of spinors: doubly-chiral plane-wave expansion
We employ the polar re-formulation of spinor fields to see in a new light their classification into regular and singular spinors, these last also called flag-dipoles, further splitting into the…
Luca FabbriApr 19, 2024
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Hypotheses regarding Baxter's T-Q relation for the periodic XYZ chain
Baxter's T-Q relation for the periodic spin-12 XYZ chain is studied. We extensively perform numerical calculations for the T-Q relation and the Bethe ansatz equations. Numerical based…
Xin ZhangApr 19, 2024
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On the spin interface distribution for non-integrable variants of the two-dimensional Ising model
We point out that the construction of a martingale observable describing the spin interface of the two-dimensional Ising model extends to a class of non-integrable variants of the two-dimensional…
Rafael L. Greenblatt, Eveliina PeltolaApr 18, 2024
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The Sine-Gordon QFT in de Sitter spacetime
We consider the massless Sine-Gordon model in de Sitter spacetime, in the regime β2 < 4 π and using the framework of perturbative algebraic quantum field theory. We show that a Fock space…
Daniela Cadamuro, Markus B. Fröb, Carolina Moreira FerreraApr 18, 2024
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Conjugate Operators of 1D-harmonic Oscillator
A conjugate operator T of one-dimensional harmonic oscillator N is defined by an operator satisfying canonical commutation relation [N,T]=-i on some domain but not necessarily a dense one.…
Fumio Hiroshima, Noriaki TeranishiApr 18, 2024
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The port-Hamiltonian structure of continuum mechanics
In this paper we present a novel approach to the geometric formulation of solid and fluid mechanics within the port-Hamiltonian framework, which extends the standard Hamiltonian formulation to…
Ramy Rashad, Stefano StramigioliApr 18, 2024
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On SVD and Polar Decomposition in Real and Complexified Clifford Algebras
In this paper, we present a natural implementation of singular value decomposition (SVD) and polar decomposition of an arbitrary multivector in nondegenerate real and complexified Clifford geometric…
D. S. ShirokovApr 18, 2024
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A Nonlinear, Conservative, Entropic Fokker-Planck Model for Multi-Species Collisions
A multi-species Fokker-Planck model for simulating particle collisions in a plasma is presented. The model includes various parameters that must be tuned. Under reasonable assumptions on these…
Evan Habbershaw, Cory D. Hauck, Jingwei Hu et al.Apr 17, 2024
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Graviton topology
Over the past three decades, it has been shown that discrete and continuous media can support topologically nontrivial waves. Recently, it was shown that the same is true of the vacuum, in…
Eric Palmerduca, Hong QinApr 17, 2024
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On the relaxation to equilibrium of a quantum oscillator interacting with a radiation field
In this article we investigate from the point of view of spectral theory the problem of relaxation to thermodynamical equilibrium of a quantum harmonic oscillator interacting with a radiation field.…
Pierre-A. VuillermotApr 17, 2024
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On an Internal Dependence of Simultaneous Measurements
In this paper we show that there exists an internal dependence of the simultaneous measurements made by the two pairs of linear polarizers operated in each leg of the apparatus in Aspect's version of…
Valentin Vankov IlievApr 17, 2024
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Two-Dimensional Coulomb Gas on an Elliptic Annulus
It is well-known that two-dimensional Coulomb gases at a special inverse temperature β = 2 can be analyzed by using the orthogonal polynomial method borrowed from the theory of random matrices.…
Taro NagaoApr 17, 2024
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On the Nonexistence of Centered Co-Circular Central Configurations With Three Unequal masses
This paper examines the existence of centered co-circular central configurations in the general power-law potential n-body problem. We prove the nonexistence of such configurations when the system…
Zhengyang Tang, Shuqiang ZhuApr 17, 2024
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On the Lorenzoni-Magri hierarchy of hydrodynamic type
In 2005 Lorenzoni and Magri showed that a hydrodynamic-type hierarchy determined by the powers of a type (1,1) tensor field (on a smooth manifold) with vanishing Nijenhuis torsion can be deformed to…
Folkert Müller-HoissenApr 16, 2024
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Forward lateral photovoltage scanning problem: Perturbation approach and existence-uniqueness analysis
In this paper, we present analytical results for the so-called forward lateral photovoltage scanning (LPS) problem. The (inverse) LPS model predicts doping variations in crystal by measuring the…
Giuseppe Alì, Patricio Farrell, Nella RotundoApr 16, 2024
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Yang-Mills-Higgs Equations on Spherical Orbifolds
In this paper we study (static) solutions of the rank 2 Yang-Mills-Higgs equations on the Riemann sphere, with concical singularities, that bifurcate from constant curvature connections. We focus…
Nicholas M. ErcolaniApr 16, 2024
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A general thermodynamical model for finitely-strained continuum with inelasticity and diffusion, its GENERIC derivation in Eulerian formulation, and some application
A thermodynamically consistent visco-elastodynamical model at finite strains is derived that also allows for inelasticity (like plasticity or creep), thermal coupling, and poroelasticity with…
Alexander Mielke, Tomáš RoubíčekApr 15, 2024
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Quasilinear differential constraints for parabolic systems of Jordan-block type
We prove that linear degeneracy is a necessary conditions for systems in Jordan-block form to admit a compatible quasilinear differential constraint. Such condition is also sufficient for 2x2 systems…
Alessandra Rizzo, Pierandrea VergalloApr 15, 2024
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Lieb-Thirring inequality for the 2D Pauli operator
By the Aharonov-Casher theorem, the Pauli operator P has no zero eigenvalue when the normalized magnetic flux α satisfies |α|<1, but it does have a zero energy resonance. We prove…
Rupert L. Frank, Hynek KovaříkApr 15, 2024
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Representations of Multiparameter Quantum Groups
We construct representations of the quantum algebras ~Uq q(gl(n)) and ~Uq q(sl(n))~ which are in duality with the multiparameter quantum groups ~GLq q(n), ~$SLq…
V. K. DobrevApr 15, 2024
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Gluing algebraic quantum field theories on manifolds
It has been observed that, given an algebraic quantum field theory (AQFT) on a manifold M and an open cover \Mα\ of M, it is typically not possible to recover the global algebra of…
Angelos Anastopoulos, Marco BeniniApr 15, 2024
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Interpolating supersymmetric pair of Fokker-Planck equations
We consider Fokker-Planck equations that interpolate a pair of supersymmetrically related Fokker-Planck equations with constant coefficients. Based on the interesting property of shape-invariance,…
Choon-Lin HoApr 15, 2024
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Deriving a GENERIC system from a Hamiltonian system
We reconsider the fundamental problem of coarse-graining infinite-dimensional Hamiltonian dynamics to obtain a macroscopic system which includes dissipative mechanisms. In particular, we study the…
Alexander Mielke, Mark A. Peletier, Johannes ZimmerApr 14, 2024
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