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Mathematical Physics papers — page 186

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Measurement in Quantum Field Theory
The topic of measurement in relativistic quantum field theory is addressed in this article. Some of the long standing problems of this subject are highlighted, including the incompatibility of an…
Christopher J. Fewster, Rainer VerchApr 26, 2023
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A General Dixmier Trace Formula for the Density of States on Open Manifolds
We give an abstract formulation of the Dixmier trace formula for the density of states. This recovers prior versions and allows us to provide a Dixmier trace formula for the density of states of…
Eva-Maria Hekkelman, Edward McDonaldApr 26, 2023
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Computational explorations of a deformed fuzzy sphere
This work examines the deformed fuzzy sphere, as an example of a fuzzy space that can be described through a spectral triple, using computer visualisations. We first explore this geometry using an…
L GlaserApr 25, 2023
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Asymptotic analysis of the weakly interacting Bose gas: A collection of recent results and applications
We consider a gas of N bosons with interactions in the mean-field scaling regime. We review a recent proof of the asymptotic expansion of its spectrum and eigenstates and two applications of this…
Lea Boßmann, Nikolai Leopold, David Mitrouskas et al.Apr 25, 2023
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Cluster expansions, trees, inversions and correlations
We review some recent progress on applications of Cluster Expansions. We focus on a system of classical particles living in a continuous medium and interacting via a stable and tempered pair…
Dimitrios TsagkarogiannisApr 25, 2023
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On particular integrability in classical mechanics
In this study the notion of particular integrability in Classical Mechanics, introduced in [J. Phys. A: Math. Theor. 46 025203, 2013], is revisited within the formalism of symplectic geometry. A…
A. M. Escobar-Ruiz, R. AzuajeApr 25, 2023
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Eleven-dimensional supergravity as a Calabi-Yau twofold
We construct a generalization of Poisson-Chern-Simons theory, defined on any supermanifold equipped with an appropriate filtration of the tangent bundle. Our construction recovers interacting…
Fabian Hahner, Ingmar SaberiApr 24, 2023
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Spectral analysis of N-body Schr\"odinger operators at two-cluster thresholds
This book provides a systematic study of spectral and scattering theory for many-body Schr\"odinger operators at two-cluster thresholds. While the two-body problem (reduced after separation of the…
Erik Skibsted, Xue Ping WangApr 24, 2023
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Chern-Simons Theory, Ehrhart Polynomials, and Representation Theory
The Hilbert space of level q Chern-Simons theory of gauge group G of the ADE type quantized on T2 can be represented by points that lie on the weight lattice of the Lie algebra g…
Chao JuApr 24, 2023
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On temperature of a diamond
We revisit the definition of the temperature of a causal diamond for the case of a free massless scalar field. The stress is given to the intrinsic, direction-dependent character of this definition.…
Ravi Mistry, Aleksandr PinzulApr 23, 2023
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Topological recursion, symplectic duality, and generalized fully simple maps
For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the n-point functions produced by the topological recursion on…
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski et al.Apr 23, 2023
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The number and location of eigenvalues for the two-particle Schr\"odinger operators on lattices
We study the Schr\"odinger operators Hγ λ μ(K), K∈ being a fixed (quasi)momentum of the particles pair, associated with a system of two identical bosons on the one-dimensional…
Saidakhmat N. Lakaev, Mukhayyo O. AkhmadovaApr 23, 2023
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Superoscillations and Fock spaces
In this paper we use techniques in Fock spaces theory and compute how the Segal-Bargmann transform acts on special wave functions obtained by multiplying superoscillating sequences with normalized…
Daniel Alpay, Fabrizio Colombo, Kamal Diki et al.Apr 23, 2023
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Monotone energy stability for Poiseuille flow in a porous medium
We study the monotone energy stability of ``Poiseuille flow" in a plane-parallel channel with a saturated porous medium modeled by the Brinkman equation, on the basis of an analogy with a…
Giuseppe MuloneApr 23, 2023
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Monotone energy stability of magnetohydrodynamics Couette and Hartmann flows
We study the monotone nonlinear energy stability of magnetohydrodynamics plane shear flows, Couette and Hartmann flows. We prove that the least stabilizing perturbations, in the energy norm,…
Giuseppe MuloneApr 22, 2023
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Squire's theorem for nonlinear monotone energy stability
The Squire's theorem holds for parallel shear flows governed by the linearized Navier-Stokes equations. Squire writes ``For the study of the stability of flow between parallel walls it is sufficient…
Giuseppe MuloneApr 22, 2023
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Spin Statistics and Field Equations for any Spin
In this article we prove spin statistics theorem for arbitrary massive (A, B) field in a representation theoretic manner. General Gamma matrices are introduced, and explicit forms for low spin are…
Zixuan FengApr 22, 2023
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Nonlinear extension of the J-matrix method of scattering: A toy model
We introduce nonlinear extension of the J-matrix method of scattering. The formulation relies predominantly on the linearization of products of orthogonal polynomials. We present a toy model as an…
A. D. Alhaidari, T. J. TaiwoApr 22, 2023
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Mathematical theory for the interface mode in a waveguide bifurcated from a Dirac point
In this paper, we prove the existence of a bound state in a waveguide that consists of two semi-infinite periodic structures separated by an interface. The two periodic structures are perturbed from…
Jiayu Qiu, Junshan Lin, Peng Xie et al.Apr 21, 2023
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Foundation of classical dynamical density functional theory: uniqueness of time-dependent density-potential mappings
When can we map a classical density profile to an external potential? In equilibrium, without time dependence, the one-body density is known to specify the external potential that is applied to the…
Michael Andreas Klatt, Christian Bair, Hartmut Löwen et al.Apr 20, 2023
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Graded damage solutions in one dimension
A regularized damage model is considered named "Graded damage" in which the gradient enhancement has the form of an explicit bound for the spatial gradient of damage. The key features of the proposed…
Nunziante ValorosoApr 20, 2023
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43 measures on compact Riemannian 3-manifolds
We construct the 43 measure on an arbitrary 3-dimensional compact Riemannian manifold without boundary as an invariant probability measure of a singular stochastic partial differential…
I. Bailleul, N. V. Dang, L. Ferdinand et al.Apr 20, 2023
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On a generalised Lambert W branch transition function arising from p,q-binomial coefficients
With only a complete solution in dimension one and partially solved in dimension two, the Lenz-Ising model of magnetism is one of the most studied models in theoretical physics. An approach to…
Per Åhag, Rafał Czyż, Per-Håkan LundowApr 19, 2023
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A background independent notion of causality
We develop a notion of causal order on a generic manifold as independent of the underlying differential and topological structure. We show that sufficiently regular causal orders can be recovered…
Antonio Capolupo, Aniello QuarantaApr 19, 2023
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Hamiltonian dynamics on the symplectic extended phase space for autonomous and non-autonomous systems
We will present a consistent description of Hamiltonian dynamics on the ``symplectic extended phase space'' that is analogous to that of a time-independent Hamiltonian system on the…
Jürgen StruckmeierApr 19, 2023
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