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We investigate the entanglement properties of finite spin rings, with noncollinear Ising interaction between nearest neighbours. The orientations of the Ising axes are determined either by the spin position within the ring (model A) or by…

Quantum Physics · Physics 2015-05-20 F. Troiani

Let $G_{k,n}$ be a group of permutations of $kn$ objects which permutes things independently in disjoint blocks of size $k$ and then permutes the blocks. We investigate the probabilistic and/or enumerative aspects of random elements of…

Probability · Mathematics 2025-04-29 Persi Diaconis , Nathan Tung

Topologically nontrivial fluctuations control the anomalous interactions for the $\eta$ and and $\eta \prime$ pseudoscalar mesons. We consider the anomalous interactions for mesons with higher spin, the heterochiral nonets with $J^{P C} =…

High Energy Physics - Phenomenology · Physics 2025-08-21 Francesco Giacosa , Shahriyar Jafarzade , Robert Pisarski

We introduce the concept of braided noncommutative Poisson bialgebras. The theory of cocycle bicrossproducts for noncommutative Poisson bialgebras is developed. As an application, we solve the extending problem by using some non-abelian…

Rings and Algebras · Mathematics 2023-05-17 Tao Zhang , Fang Yang

The peculiar features of the mixing in the neutral pseudoscalar mesons K0--antiK0 can be introduced by the analogy to the optical polarization. The time-reversed not-invariant processes and the related phenomenon of CP-nonconservation can…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. Cocolicchio , L. Telesca , M. Viggiano

We consider dark solitons and their stability in spin-orbit coupled polariton condensates. The system supports spinor solitons of two types: conventional (symmetric) dark solitons and asymmetric half-dark solitons. They demonstrate…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Dmitry A. Zezyulin , Yaroslav V. Kartashov

For binary mixtures with fixed concentrations of the species, various relationships between the surface tensions and the concentrations are briefly reviewed.

Statistical Mechanics · Physics 2009-11-11 Jean Ruiz

A holomorphic Poisson structure induces a deformation of the complex structure as Hitchin's generalized geometry. Its associated cohomology naturally appears as the limit of a spectral sequence of a double complex. The first sheet of this…

Differential Geometry · Mathematics 2014-08-05 Zhuo Chen , Daniele Grandini , Yat-Sun Poon

Mixed states of samples of spin s particles which are symmetric under permutations of the particles are described in terms of their total collective spin quantum numbers. We use this description to analyze the influence on spin squeezing…

Quantum Physics · Physics 2007-05-23 Janus Wesenberg , Klaus Moelmer

The weak interaction does not conserve parity, which is apparent in many nuclear and atomic phenomena. However, thus far, parity nonconservation has not been observed in molecules. Here we consider nuclear-spin-dependent parity…

Some higher-order quasilinear parabolic, hyperbolic, and nonlinear dispersion equations are shown to admit various blow-up, extinction, and travelling wave solutions, which reduce to variational problems admitting countable families of…

Analysis of PDEs · Mathematics 2015-03-19 V. A. Galaktionov , E. Mitidieri , S. I. Pohozaev

We show that the intersection pairing on our real intersection homology groups is not a dual pairing in general.

Algebraic Geometry · Mathematics 2024-03-12 Clint McCrory , Adam Parusinski

We consider generalizations of pairing relations for Kovalevskaya exponents in quasihomogeneous systems with quasihomogeneous tensor invariants. The case of presence of a Poisson structure in the system is investigated in more detail. We…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 A. V. Borisov , S. L. Dudoladov

In this paper we first describe the geometry of the Newton polyhedra of polynomials invariant under certain linear Hamiltonian circle actions. From the geometry of the polyhedra, various Poisson structures on the orbit spaces of the actions…

Symplectic Geometry · Mathematics 2007-05-23 Agust S. Egilsson

Nonlinear PDE's having {\bf given} conditional symmetries are constructed. They are obtained starting from the invariants of the "conditional symmetry" generator and imposing the extra condition given by the characteristic of the symmetry.…

Mathematical Physics · Physics 2018-02-12 Decio Levi , Miguel Angel Rodriguez , Zora Thomova

We find a new Hamiltonian formulation of the classical isotropic rotator where left and right $SU(2)$ transformations are not canonical symmetries but rather Poisson Lie group symmetries. The system corresponds to the classical analog of a…

High Energy Physics - Theory · Physics 2015-06-26 G. Marmo , A. Simoni , A. Stern

Poisson processes and one-dimensional Poisson point processes satisfy three main properties: superposition, thinning, and conditioning. The proof of the first two relies on basic estimates involving the Poisson distribution that are also…

Probability · Mathematics 2025-09-01 Nicolas Lanchier

We present the results of numerical simulation of elastic properties of phagraphene, a recently predicted but not synthesized yet quasi-two-dimensional allotrope of graphene. We show that the Poisson'ss ratio is positive for the planar…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 L. A. Openov , A. I. Podlivaev

In this paper, we give some $l_p$-type inequalities about sequences satisfying certain quasi monotone type properties. As special cases, reverse $l_p$-type inequalities for non-negative decreasing sequences are obtained. The inequalities…

Classical Analysis and ODEs · Mathematics 2015-11-03 Mikhail K. Potapov , Faton M. Berisha , Nimete Sh. Berisha , Reshad Kadriu

In this article we survey properties of mixed Poisson distributions and probabilistic aspects of the Stirling transform: given a non-negative random variable $X$ with moment sequence $(\mu_s)_{s\in\mathbb{N}}$ we determine a discrete random…

Combinatorics · Mathematics 2014-09-12 Markus Kuba , Alois Panholzer