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Mathematical Physics papers — page 218

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Symmetry Classification of Scalar nth Order Ordinary Differential Equations
We complete the Lie symmetry classification of scalar nth order, n ≥ 4, ordinary differential equations by means of the symmetry Lie algebras they admit. It is known that there are three types…
Said Waqas Shah, F. M. Mahomed, H. AzadAug 22, 2022
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New solutions to the tetrahedron equation associated with quantized six-vertex models
We present a family of new solutions to the tetrahedron equation of the form RLLL=LLLR, where L operator may be regarded as a quantized six-vertex model whose Boltzmann weights are specific…
Atsuo Kuniba, Shuichiro Matsuike, Akihito YoneyamaAug 22, 2022
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Lecture notes on operator algebras and their application in physics
Lecture notes to a one-term course on operator algebras and their application in physics. Very brief and basic introduction to the subject of Banach- and C-star algebras complemented with their…
Alexander KegelesAug 22, 2022
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On correlation functions for the open XXZ chain with non-longitudinal boundary fields : the case with a constraint
This paper is a continuation of [1], in which a set of matrix elements of local operators was computed for the XXZ spin-1/2 open chain with a particular case of unparallel boundary fields. Here, we…
G. Niccoli, V. TerrasAug 22, 2022
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Lagrangian and orthogonal splittings, quasitriangular Lie bialgebras and almost complex product structures
We study Lagrangian and orthogonal splittings\ of quadratic vector spaces establishing an equivalence with complex product structures. Then we show that a Manin triple equipped with…
Hugo MontaniAug 22, 2022
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Symmetry actions and brackets for adjoint-symmetries. II: Physical examples
Symmetries and adjoint-symmetries are two fundamental (coordinate-free) structures of PDE systems. Recent work has developed several new algebraic aspects of adjoint-symmetries: three fundamental…
Stephen C. AncoAug 22, 2022
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Vortices and cosmic strings in a generalized Born-Infeld model
In this paper, we consider two types of topological solitons in a generalized Born-Infeld-Higgs model. We explore the self-dual structure of the model and prove the existence of planar vortex…
Kai ShaoAug 21, 2022
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Gauge-Invariant Semi-Discrete Wigner Theory
A gauge-invariant Wigner quantum mechanical theory is obtained by applying the Weyl-Stratonovich transform to the von Neumann equation for the density matrix. The transform reduces to the Weyl…
Mihail Nedjalkov, Mauro Ballicchia, Robert Kosik et al.Aug 19, 2022
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On symmetric Tetranacci polynomials in mathematics and physics
In this manuscript, we introduce (symmetric) Tetranacci polynomials j as a twofold generalization of ordinary Tetranacci numbers, by considering both non unity coefficients and generic initial…
Nico G. LeumerAug 19, 2022
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Globally existing solutions to the problem of Derichlet for the fractional 3D Poisson equation
A common approach is present concerning the problem of Dirichlet, both for bounded 3D domains and their (unbounded) complements, regarding the fractional (3D) Poisson equation.
Toshko Boev, Georgi GeorgievAug 19, 2022
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The rate of accumulation of negative eigenvalues to zero and the absolutely continuous spectrum
For a bounded real-valued function V on Rd, we consider two Schr\"odinger operators H+=-+V and H-=--V. We prove that if the negative spectra H+ and H- are discrete…
Oleg SafronovAug 18, 2022
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On the partition function of the Sp(4) integrable vertex model
In this paper we investigate certain fusion relations associated to an integrable vertex model on the square lattice which is invariant under Sp(4) symmetry. We establish a set of functional…
G. A. P. Ribeiro, A. Klümper, P. A. PearceAug 18, 2022
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Condensation of interacting bosons
In this third paper of a series that started with arXiv:2106.10032 [math-ph] and continued with arXiv:2108.02659 [math-ph] we show that in d≥ 3 dimensions at low temperatures or high densities…
Andras SutoAug 18, 2022
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Convolution equations on the Lie group (-1,1)
The interval j=[-1,1] turns into an Abelian group () under the group operation x+ y:=(x+y)(1+xy)-1, x,y∈. This enables definition of the invariant measure $d…
Roland DuduchavaAug 18, 2022
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Topological phases of matter, Quantum Error Correction and Topological twist
Unitary Modular Tensor Categories(UMTC) have a one-to-one correspondence with Topological Quantum Field Theories (TQFT). Different identifications have been made so far associating different physical…
Tushar PandeyAug 17, 2022
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Schwarzian derivative in higher-order Riccati equations
The Sturm-Liouville equation represents the linearized form of the first-order Riccati equation. This provides an evidence for the connection between Schwarzian derivative and this first-order…
Benoy Talukdar, Supriya Chatterjee, Golam Ali SekhAug 17, 2022
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Dirac field in AdS2 and representations of SL(2,R)
We study the solutions to the Dirac equation for the massive spinor field in the universal covering space of two-dimensional anti-de Sitter space. For certain values of the mass parameter, we impose…
David Serrano BlancoAug 17, 2022
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Conservation laws and variational structure of damped nonlinear wave equations
All low-order conservation laws are found for a general class of nonlinear wave equations in one dimension with linear damping which is allowed to be time-dependent. Such equations arise in numerous…
Stephen C. Anco, Almudena P. Marquez, Tamara M. Garrido et al.Aug 17, 2022
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On the semiclassical regularity of thermal equilibria
We study the regularity properties of fermionic equilibrium states at finite positive temperature and show that they satisfy certain semiclassical bounds. As a corollary, we identify explicitly a…
Jacky J. Chong, Laurent Lafleche, Chiara SaffirioAug 16, 2022
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Effective Dynamics of Translationally Invariant Magnetic Schr\"odinger Equations in the High Field Limit
We study the large field limit in Schr\"odinger equations with magnetic vector potentials describing translationally invariant B-fields with respect to the z-axis. In a first step, using regular…
Gheorghe Nenciu, Evelyn Richman, Christof SparberAug 16, 2022
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Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems
In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. In order to do so, we construct a Hamilton--Jacobi theory for these systems following…
Manuel de León, Manuel Lainz, Asier López-Gordón et al.Aug 15, 2022
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Relational Analysis of Dirac Equation in Momentum Representation
In terms of the relational approach to space-time geometry and physical interactions, we show that the Dirac equation for a free fermion in the momentum representation can be obtained starting from a…
Anton V. Solov'yovAug 15, 2022
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Universal Cusp Scaling in Random Partitions
We study the universal scaling limit of random partitions obeying the Schur measure. Extending our previous analysis [arXiv:2012.06424], we obtain the higher-order Pearcey kernel describing the…
Taro Kimura, Ali ZahabiAug 15, 2022
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Fermi isospectrality of discrete periodic Schr\"odinger operators with separable potentials on Z2
Let =q1Z q2 Z with q1∈ Z+ and q2∈Z+. Let +X be the discrete periodic Schr\"odinger operator on Z2, where …
Wencai LiuAug 15, 2022
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Distributions of resonances of supercritical quasi-periodic operators
We discover that the distribution of (frequency and phase) resonances plays a role in determining the spectral type of supercritical quasi-periodic Schr\"odinger operators. In particular, we disprove…
Wencai LiuAug 14, 2022
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