121 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of LisbonPT135 papers
- Instituto Superior TécnicoPT23 papers
- Universidade Lusófona de Humanidades e TecnologiasPT23 papers
- Iscte – Instituto Universitário de LisboaPT8 papers
- Mathematical Institute of the Serbian Academy of Sciences and Arts7 papers
- Serbian Academy of Sciences and ArtsRS7 papers
- Universidad Complutense de MadridES7 papers
- Universidade LusófonaPT7 papers
- Universidade Técnica de LisboaPT7 papers
- University of AlgarvePT7 papers
- Instituto de Plasmas e Fusão NuclearPT6 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT5 papers
28 papers · 1 filter
On solutions of the Bethe Ansatz for the Quantum KdV model
Riccardo Conti, Davide Masoero
We study the Bethe Ansatz Equations for the Quantum KdV model, which are also known to be solved by the spectral determinants of a specific family of anharmonic oscillators called…
Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels
Leonardo Santilli, Miguel Tierz
We show that the Riemannian Gaussian distributions on symmetric spaces, introduced in recent years, are of standard random matrix type. We exploit this to compute analytically marg…
Counting monster potentials
Riccardo Conti, Davide Masoero
We study the large momentum limit of the monster potentials of Bazhanov-Lukyanov-Zamolodchikov, which -- according to the ODE/IM correspondence -- should correspond to excited stat…
Bound states in semi-Dirac semi-metals
David Krejcirik, Pedro. R. S. Antunes
New insights into transport properties of nanostructures with a linear dispersion along one direction and a quadratic dispersion along another are obtained by analysing their spect…
Standing wave solutions in Born-Infeld theory
Nenad Manojlovic, Volker Perlick, Robertus Potting
We study standing-wave solutions of Born-Infeld electrodynamics, with nonzero electromagnetic field in a region between two parallel conducting plates. We consider the simplest cas…
Exact equivalences and phase discrepancies between random matrix ensembles
Leonardo Santilli, Miguel Tierz
We study two types of random matrix ensembles that emerge when considering the same probability measure on partitions. One is the Meixner ensemble with a hard wall and the other ar…
Opers for higher states of the quantum Boussinesq model
Davide Masoero, Andrea Raimondo
We study the ODE/IM correspondence for all the states of the quantum Boussinesq model. We consider a particular class of third order linear ordinary differential operators and show…
Spectral determinant for the damped wave equation on an interval
Pedro Freitas, Jiří Lipovský
We evaluate the spectral determinant for the damped wave equation on an interval of length with Dirichlet boundary conditions, proving that it does not depend on the damping. T…
A Gelfand-Levitan trace formula for generic quantum graphs
Pedro Freitas, Jiri Lipovsky
We formulate and prove a Gelfand-Levitan trace formula for general quantum graphs with arbitrary edge lengths and coupling conditions which cover all self-adjoint operators on quan…
Opers for higher states of quantum KdV models
Davide Masoero, Andrea Raimondo
We study the ODE/IM correspondence for all states of the quantum -KdV model, where is the affinization of a simply-laced simple Lie…
Bethe Ansatz and the Spectral Theory of affine Lie algebra--valued connections II. The non simply--laced case
Davide Masoero, Andrea Raimondo, Daniele Valeri
We assess the ODE/IM correspondence for the quantum -KdV model, for a non-simply laced Lie algebra . This is done by studying a meromorphic connection w…
Bethe Ansatz and the Spectral Theory of affine Lie algebra-valued connections I. The simply-laced case
Davide Masoero, Andrea Raimondo, Daniele Valeri
We study the ODE/IM correspondence for ODE associated to -valued connections, for a simply-laced Lie algebra . We prove that subdominant solutions t…
Metaplectic formulation of the Wigner transform and applications
Nuno Costa Dias, Maurice A. de Gosson, João Nuno Prata
We show that the cross Wigner function can be written in the form where is the Fourier transform of and is a me…
The research program of Stochastic Deformation (with a view toward Geometric Mechanics)
Jean-Claude Zambrini
We give an overview of a program of Stochastic Deformation of Classical Mechanics and the Calculus of Variations, strongly inspired by the quantization method.
A deformation of the method of characteristics and the Cauchy problem for Hamiltonian PDEs in the small dispersion limit
Davide Masoero, Andrea Raimondo
We introduce a deformation of the method of characteristics valid for Hamiltonian perturbations of a scalar conservation law in the small dispersion limit. Our method of analysis i…
On the metric operator for the imaginary cubic oscillator
Petr Siegl, David Krejcirik
We show that the eigenvectors of the PT-symmetric imaginary cubic oscillator are complete, but do not form a Riesz basis. This results in the existence of a bounded metric operator…
Painleve I, Coverings of the Sphere and Belyi Functions
Davide Masoero
The theory of poles of solutions of Painleve-I is equivalent to the Nevanlinna problem of constructing a meromorphic function ramified over five points - counting multiplicities -…
From simplicial Chern-Simons theory to the shadow invariant II
Atle Hahn
This is the second of a series of papers in which we introduce and study a rigorous "simplicial" realization of the non-Abelian Chern-Simons path integral for manifolds M of the fo…
From simplicial Chern-Simons theory to the shadow invariant I
Atle Hahn
This is the first of a series of papers in which we introduce and study a rigorous "simplicial" realization of the non-Abelian Chern-Simons path integral for manifolds M of the for…
On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations
Vladimir Dragovic, Borislav Gajic
It is proven that the general Kirchhoff case of the Kirchhoff equations for is not algebraic complete integrable system. Similar analytic behavior of the general solution…
A Deformation Quantization Theory for Non-Commutative Quantum Mechanics
N. C. Dias, M. A. de Gosson, F. Luef +1
We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a double phase space.…
Wigner Measures in Noncommutative Quantum Mechanics
C. Bastos, N. C. Dias, J. N. Prata
We study the properties of quasi-distributions or Wigner measures in the context of noncommutative quantum mechanics. In particular, we obtain necessary and sufficient conditions f…
Elliptic Curves and a New Construction of Integrable Systems
Vladimir Dragovic, Borislav Gajic
A class of elliptic curves with associated Lax matrices is considered. A family of dynamical systems on e(3) parametrized by polynomial a with above Lax matrices are constructed. F…
Singular Manakov Flows and Geodesic Flows on Homogeneous Spaces
Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic
We prove complete integrability of the Manakov-type SO(n)-invariant geodesic flows on homogeneous spaces , for any choice of , $k…