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Mathematical Physics papers — page 160

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Canonical formulation for the thermodynamics of sln-invariant integrable spin chains
Integrable quantum spin chains display distinctive physical properties making them a laboratory to test and assess different states of matter. The study of the finite temperature properties is…
T. S. Tavares, I. R. Passos, A. KlümperNov 3, 2023
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Interface fluctuations associated with split Fermi seas
We consider the asymptotic behaviour of a family of unidimensional lattice fermion models, which are in exact correspondence with certain probability laws on partitions and on unitary matrices. These…
Harriet WalshNov 3, 2023
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Computer-assisted proofs of existence of KAM tori in planetary dynamical models of -And b
We reconsider the problem of the orbital dynamics of the innermost exoplanet of the -Andromedae system (i.e., -And b) into the framework of a Secular Quasi-Periodic…
Rita Mastroianni, Ugo LocatelliNov 3, 2023
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Optimal Control of Incompressible Ideal Flows with Obstacle Avoidance
It was shown in bloch2000optimal that an optimal control formulation for incompressible ideal fluid flow yields Euler's equations. In this paper, we consider a variational obstacle-avoidance…
Alexandre Anahory Simoes, Anthony Bloch, Leonardo ColomboNov 3, 2023
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A functional model of a class of symmetric semi-bounded operators
Let L0 be a closed symmetric positive definite operator with nonzero defect indices n(L0) in a separable Hilbert space H. It determines a family of dynamical systems…
M. I. Belishev, S. A. SimonovNov 2, 2023
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Pseudorandomness of the Schr\"odinger map equation
We present the random behaviour of the Schr\"odinger map equation, a geometric partial differential equation, by considering its evolution for regular polygonal curves in both Euclidean and…
Sandeep KumarNov 2, 2023
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On the stochastic Sine-Gordon model: an interacting field theory approach
We investigate the massive Sine-Gordon model in the finite ultraviolet regime on the two-dimensional Minkowski spacetime (R2,η) with an additive Gaussian white noise. In particular we…
Alberto Bonicelli, Claudio Dappiaggi, Paolo RinaldiNov 2, 2023
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Topological edge spectrum along curved interfaces
We prove that that if the boundary of a topological insulator divides the plane in two regions containing arbitrarily large balls, then it acts as a conductor. Conversely, we show that topological…
Alexis Drouot, Xiaowen ZhuNov 2, 2023
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Characteristics of rogue waves in the scalar and vector nonlocal nonlinear Schrödinger equations
In this paper, general higher-order rogue wave solutions of the parity-time ( P T) symmetric scalar and coupled nonlocal nonlinear Schrödinger equations (NLSEs) are calculated…
Xiu-Bin Wang, Shou-Fu TianNov 2, 2023
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Singularities and asymptotic distribution of resonances for Schr\"odinger operators in one dimension
We obtain new results about the high-energy distribution of resonances for the one-dimensional Schr\"odinger operator. Our primary result is an upper bound on the density of resonances above any…
T. J. Christiansen, T. CunninghamNov 1, 2023
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Weyl Group Representation of Billiard Trajectories for One-dimensional Hard Sphere Dynamics
We present an exact formula for the dynamics of N hard spheres of radius r>0 on an infinite line which evolve under the assumption that total linear momentum and kinetic energy of the system is…
Mark WilkinsonNov 1, 2023
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Gauge equivalence and transdimensional perturbation: point vortices
There is an explicit resolution of the Poisson reduction of four planar point vortices, in the case that three of the vortex strengths are equal and the total vorticity is zero. The resolution, a…
George W. PatrickOct 31, 2023
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Variational principle for a damped, quadratically interacting particle chain with nonconservative forcing
A method for designing variational principles for the dynamics of a possibly dissipative and non-conservatively forced chain of particles is demonstrated. Some qualitative features of the formulation…
Amit Acharya, Ambar N. SenguptaOct 31, 2023
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Obstructions to the existence of Mller maps
Mller maps are identifications between the observables of a perturbatively interacting physical system and the observables of its underlying free (i.e. non-interacting) system. This work studies…
Marco Benini, Alastair Grant-Stuart, Giorgio Musante et al.Oct 31, 2023
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Schur function expansion in non-Hermitian ensembles and averages of characteristic polynomials
We study k-point correlators of characteristic polynomials in non-Hermitian ensembles of random matrices, focusing on the real, complex and quaternion N × N Ginibre ensembles. Our approach…
Alexander Serebryakov, Nick SimmOct 31, 2023
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Local solutions of RG flow equations from the Nash-Moser theorem
We prove local existence of solutions of a functional Renormalisation Group equation for the effective action of an interacting quantum field theory, when a suitable Local Potential Approximation is…
Edoardo D'Angelo, Nicola PinamontiOct 31, 2023
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Undressing the electron
The extended algebra of the free electromagnetic fields, including infrared singular fields, and the almost radial gauge, both introduced earlier, are postulated for the construction of the quantum…
Andrzej HerdegenOct 31, 2023
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Wolfes model aka G2/I6-rational integrable model: g(2), g(3) hidden algebras and quartic polynomial algebra of integrals
One-dimensional 3-body Wolfes model with 2- and 3-body interactions also known as G2/I6-rational integrable model of the Hamiltonian reduction is exactly-solvable and superintegrable. Its…
J C Lopez Vieyra, A V TurbinerOct 31, 2023
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Beliaev damping in Bose gas
According to the Bogoliubov theory the low energy behaviour of the Bose gas at zero temperature can be described by non-interacting bosonic quasiparticles called phonons. In this work the damping…
Jan Dereziński, Ben Li, Marcin NapiórkowskiOct 30, 2023
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Kerner equation for motion in a non-Abelian gauge field
The equations of motion of an isospin-carrying particle in a Yang-Mills and gravitational field were first proposed in 1968 by Kerner, who considered geodesics in a Kaluza-Klein-type framework. Two…
Peter A Horvathy, Peng-Ming ZhangOct 30, 2023
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Kinetic description and macroscopic limit of swarming dynamics with continuous leader-follower transitions
In this paper, we derive a kinetic description of swarming particle dynamics in an interacting multi-agent system featuring emerging leaders and followers. Agents are classically characterized by…
Emiliano Cristiani, Nadia Loy, Marta Menci et al.Oct 30, 2023
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An operational point of view to the theory of multi-variable/multi-index Hermite polynomials
The use of algebraic tools of operational and umbral nature is exploited to develop a new point of view and to extend the theory of Hermite polynomials, with more than one variable also of complex…
Giuseppe Dattoli, Silvia Licciardi, Elio SabiaOct 30, 2023
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Classification of the anyon sectors of Kitaev's quantum double model
We give a complete classification of the anyon sectors of Kitaev's quantum double model on the infinite triangular lattice and for finite gauge group G, including the non-abelian case. As…
Alex Bols, Siddharth VadnerkarOct 30, 2023
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The Application of Homotopy Perturbation Method to the Solution of Non-Linear Partial Differential Equations
In this study, a thorough investigation was conducted into the Homotopy Perturbation Method (HPM) and its application to solve the Burger and Blasius equations. The HPM is a mathematical technique…
Gbenga Onifade EbenezerOct 30, 2023
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From O-operators of 3-Dimensional 3-Lie algebras to 3-Pre-Lie algebras
In this paper, we explicitly determine all O-operators with respect to the adjoint representation of 3-dimensional complex 3-Lie algebras. Furthermore, we provide the induced 3-Pre-Lie…
Cheng Ziying, Kang Chuangchuang, Lü JiafengOct 30, 2023
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