ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT [PDF]
Open Communications in Nonlinear Mathematical Physics, 2022 We consider the propagation of equatorial waves of small amplitude, in a flow with an underlying non-uniform current. Without making the too restrictive rigid-lid approximation, by exploiting the available Hamiltonian structure of the problem, we derive ...
Emil Novruzov
doaj +1 more source
Further enumeration results concerning a recent equivalence of restricted inversion sequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 Let asc and desc denote respectively the statistics recording the number of ascents or descents in a sequence having non-negative integer entries.
Toufik Mansour, Mark Shattuck
doaj +1 more source
Fractal Weyl Law for Open Chaotic Maps [PDF]
, 2004 This contribution summarizes our work with M.Zworski on open quantum open chaoticmaps (math-ph/0505034). For a simple chaotic scattering system (the open quantum baker's map), we compute the "long-living resonances" in the semiclassical r\'{e}gime, and ...
Asch, Joachim, Joye, Alain
core +7 more sources
Simple conditions for the transformation of dynamical coordinates into canonical ones in Hamiltonian dynamics [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe obtain conditions, which when fulfilled, permit to transform the coordinates of a dynamical system into pairs of canonical ones for some Hamiltonian system.
Patrick Cassam-Chenaï
doaj +1 more source
Extracting dynamical equations from experimental data is NP-hard [PDF]
, 2012 The behavior of any physical system is governed by its underlying dynamical equations. Much of physics is concerned with discovering these dynamical equations and understanding their consequences.
A. Mukherjea +9 more
core +4 more sources
High order multiscale analysis of discrete integrable equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability conditions
Rafael Hernandez Heredero +2 more
doaj +1 more source
Modular Theory, Non-Commutative Geometry and Quantum Gravity [PDF]
, 2010 This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A.
Bertozzini, Paolo +2 more
core +4 more sources
Path Integrals on Euclidean Space Forms [PDF]
, 2015 In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a reproducing kernel Hilbert space.
Capobianco, Guillermo, Reartes, Walter
core +3 more sources
Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model [PDF]
, 2007 Many manifestly non-Hermitian Hamiltonians (typically, PT-symmetric complex anharmonic oscillators) possess a strictly real, "physical" bound-state spectrum. This means that they are (quasi-)Hermitian with respect to a suitable non-standard metric.
Ahmed +49 more
core +2 more sources
Erlangen Programme at Large 3.1: Hypercomplex Representations of the Heisenberg Group and Mechanics [PDF]
, 2011 In the spirit of geometric quantisation we consider representations of the Heisenberg(--Weyl) group induced by hypercomplex characters of its centre. This allows to gather under the same framework, called p-mechanics, the three principal cases: quantum ...
Kisil, Vladimir V.
core +3 more sources