symmetry and QCD: finite temperature and density.
A -dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking
In this paper we extend to arbitrary number fields a construction of Bost-Connes of a -dynamical system with spontaneous symmetry breaking and partition function the Riemann zeta function.
A characterisation of dilation-analytic operators
A characterization of coherent states from varying Planck's constant
A construction of quasi-modes using coherent states
A Deformed Quon Algebra
The quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and creation operators obey the quon algebra which interpolates between fermions and bosons. In this paper we generalize these models by introducing a deformation of the quon algebra generated by a collection of operators , , on an infinite dimensional vector space satisfying the...
A family of exactly solvable radial quantum systems on space of non-constant curvature with accidental degeneracy in the spectrum.
A generalised Hopf algebra for solitons.
A generalized coherent state approach of the quantum dynamics for suitable time-dependent hamiltonians
A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field, using a Fock space approach
In this article the linear Boltzmann equation is derived for a particle interacting with a Gaussian random field, in the weak coupling limit, with renewal in time of the random field. The initial data can be chosen arbitrarily. The proof is geometric and involves coherent states and semi-classical calculus.
A geometrical interpretation of the time evolution of the Schrödinger equation for discrete quantum systems
A Lie algebroid on the Wiener space.
A new approach to Hom-left-symmetric bialgebras
The main purpose of this paper is to consider a new definition of Hom-left-symmetric bialgebra. The coboundary Hom-left-symmetric bialgebra is also studied. In particular, we give a necessary and sufficient condition that -matrix is a solution of the Hom--equation by a cocycle condition.
A new rational free-fermion solution of the Yang-Baxter equation.
A note on coalgebra gauge theory
A generalisation of quantum principal bundles in which a quantum structure group is replaced by a coalgebra is proposed.
A note on Dirac operators on the quantum punctured disk.
À propos du calcul différentiel sur les groupes quantiques
A -analogue of the centralizer construction and skew representations of the quantum affine algebra.
A recurrence relation approach to higher order quantum superintegrability.
A relation between the multiplicity of the second eigenvalue of a graph Laplacian, Courant's nodal line theorem and the substantial dimension of tight polyhedral surfaces.