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Mathematical Physics papers — page 232

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The Homogeneous Causal Action Principle on a Compact Domain in Momentum Space
The homogeneous causal action principle on a compact domain of momentum space is introduced. The connection to causal fermion systems is worked out. Existence and compactness results are reviewed.…
Felix Finster, Michelle Frankl, Christoph LangerMay 9, 2022
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Shooting function for 1D Schrodinger operators
For Schrodinger operators with suitable 1D potentials, focussing particularly on those that go to infinity at infinity, a characteristic function is constructed, via shooting functions. It is proved…
Robert S MacKayMay 9, 2022
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Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel
In this paper, we consider the deformed Fredholm determinant of the confluent hypergeometric kernel. This determinant represents the gap probability of the corresponding determinantal point process…
Dan Dai, Yu ZhaiMay 8, 2022
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Heat flow in a periodically forced, thermostatted chain
We investigate the properties of a harmonic chain in contact with a thermal bath at one end and subjected, at its other end, to a periodic force. The particles also undergo a random velocity reversal…
Tomasz Komorowski, Joel L. Lebowitz, Stefano OllaMay 8, 2022
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Inverse Laplace transform based on Widder's method for Tsallis exponential
A generalization of the Laplace transform based on the generalized Tsallis q-exponential is given in the present work for a new type of kernel. We also define the inverse transform for this…
S. S. Naina Mohammed, K. Jeevanandham, A. Basherrudin Mahmud Ahmed et al.May 7, 2022
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Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation
We analyze the case of a dense mKdV soliton gas and its large time behaviour in the presence of a single trial soliton. We show that the solution can be expressed in terms of Fredholm determinants as…
Manuela Girotti, Tamara Grava, Robert Jenkins et al.May 5, 2022
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Integrable systems on hexagonal lattices and consistency on polytopes with quadrilateral and hexagonal faces
The new concept of a system of hex equations is introduced as an overdetermined system of six five-point face-centered quad equations defined on six vertices of a hexagon. For a consistent system of…
Andrew P. KelsMay 5, 2022
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Pfaffian Interaction and BCD-quiver Matrix Models
We study matrix models involving Pfaffian interactions as generalizations of the standard β= 1 and β= 4 matrix models. We present the Pfaffian formulas for the partition function and the…
Nicolas Babinet, Taro KimuraMay 5, 2022
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General spherical harmonic bra-ket overlap integrals of trigonometric functions
Closed formulas in terms of double sums of Clebsch-Gordan coefficients are computed for the evaluation of bra-ket spherical harmonic overlap integrals of a wide class of trigonometric functions.…
Giuseppe Lingetti, Paolo PaniMay 4, 2022
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Gibbs measures for HC-model with a countable set of spin values on a Cayley tree
In this paper, we study the HC-model with a countable set Z of spin values on a Cayley tree of order k≥ 2. This model is defined by a countable set of parameters (that is, the activity…
R. M. Khakimov, M. T. Makhammadaliev, U. A. RozikovMay 4, 2022
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The Dynamics of the Hubbard Model through Stochastic Calculus and Girsanov Transformation
As a typical quantum many body problem, we consider the time evolution of density matrix elements in the Bose-Hubbard model. For an arbitrary initial state, these quantities can be obtained from an…
Detlef LehmannMay 4, 2022
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The time-dependent harmonic oscillator revisited
We point out a rather effective approach for solving the time-dependent harmonic oscillator q=-ω2 q under various regularity assumptions. Where ω(t ) is C1 this is reduced to…
Gaetano FioreMay 3, 2022
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Contributions to infinite dimensional geometry and analysis
The works prsented in this habilitation thesis can be gathered in six themes. Works on the implicit function theorem and the geometry of numerical schemes. On the existence of an exponential map on…
Jean-Pierre MagnotMay 3, 2022
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GUE via Frobenius Manifolds. I. From Matrix Gravity to Topological Gravity and Back
Dubrovin establishes the relationship between the GUE partition function and the partition function of Gromov--Witten invariants of the complex projective line. In this paper, we give a direct proof…
Di YangMay 3, 2022
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Instabilities Appearing in Cosmological Effective Field theories: When and How?
Nonlinear partial differential equations appear in many domains of physics, and we study here a typical equation which one finds in effective field theories (EFT) originated from cosmological…
Jean-Pierre Eckmann, Farbod Hassani, Hatem ZaagMay 2, 2022
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Stability and convergence of dynamical decoupling with finite amplitude control
Dynamical decoupling is a key method to mitigate errors in a quantum mechanical system, and we studied it in a series of papers dealing in particular with the problems arising from unbounded…
Daniel Burgarth, Paolo Facchi, Robin HillierMay 2, 2022
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Chirality in 2d pAQFT
In this article, which builds upon the work done in our previous paper, the chiral aspects of 2dcft on globally hyperbolic Lorentzian manifolds are developed and explored within the perturbative…
Sam Crawford, Kasia Rejzner, Benoit VicedoMay 2, 2022
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π Flux Phase and Superconductivity for Lattice Fermions Coupled to Classical Gauge Fields
We study superconducting lattice fermions coupled to classical gauge fields. Namely, without the gauge fields, the lattice fermions show superconducting long-range order. In the previous paper, the…
Tohru KomaMay 2, 2022
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Exponential moments for disk counting statistics of random normal matrices in the critical regime
We obtain large n asymptotics for the m-point moment generating function of the disk counting statistics of the Mittag-Leffler ensemble. We focus on the critical regime where all disk boundaries…
Christophe Charlier, Jonatan LenellsMay 2, 2022
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Theorem of resonance of Small Volume High Contrast multilayered materials
The need of mathematically formulate relations between composite materials' properties and its resonance response is growing. This is due the fast technological advancement in micro-material…
Taoufik MeklachiMay 2, 2022
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Gleason's theorem for composite systems
Gleason's theorem [A. Gleason, J. Math. Mech., 6, 885 (1957)] is an important result in the foundations of quantum mechanics, where it justifies the Born rule as a mathematical…
Markus Frembs, Andreas DöringMay 1, 2022
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Quantum Groups and Asymptotic Symmetries
This thesis is devoted to the study of Lie bialgebra and Hopf algebra structures related to certain versions of non-commutative geometry constructed on infinite-dimensional Lie algebras that arise in…
Josua UngerMay 1, 2022
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Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and we investigate…
Santiago Capriotti, Viviana Alejandra Díaz, Eduardo García-Toraño Andrés et al.Apr 30, 2022
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Twisted geometry for submanifolds of Rn
This is a friendly introduction to our recent general procedure for constructing noncommutative deformations of an embedded submanifold M of Rn determined by a set of smooth equations…
Gaetano Fiore, Thomas WeberApr 30, 2022
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Double scaling limits of Dirac ensembles and Liouville quantum gravity
In this paper we study ensembles of finite real spectral triples equipped with a path integral over the space of possible Dirac operators. In the noncommutative geometric setting of spectral triples,…
Hamed Hessam, Masoud Khalkhali, Nathan PagliaroliApr 29, 2022
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