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 +9 more sources
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
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
Exact Wave Functions for Generalized Harmonic Oscillators [PDF]
, 2011 We transform the time-dependent Schroedinger equation for the most general variable quadratic Hamiltonians into a standard autonomous form. As a result, the time-evolution of exact wave functions of generalized harmonic oscillators is determined in terms
Lanfear, Nathan +2 more
core +1 more source
Three-Hilbert-Space Formulation of Quantum Mechanics [PDF]
, 2009 In paper [Znojil M., Phys. Rev. D 78 (2008), 085003, 5 pages, arXiv:0809.2874] the two-Hilbert-space (2HS, a.k.a. cryptohermitian) formulation of Quantum Mechanics has been revisited. In the present continuation of this study (with the spaces in question
Znojil, Miloslav
core +5 more sources
Area law for fixed points of rapidly mixing dissipative quantum systems [PDF]
, 2015 We prove an area law with a logarithmic correction for the mutual information for fixed points of local dissipative quantum system satisfying a rapid mixing condition, under either of the following assumptions: the fixed point is pure, or the system is ...
Angelo Lucia +5 more
core +4 more sources