Abstract. A Weyl group multiple Dirichlet series is a Dirichlet series in several complex variables attached to a root system Φ. The number of variables equals the rank r of the root system, and the series satisfies a group of functional equations isomorphic to the Weyl group W of Φ. In this paper we construct a Weyl group multiple Dirichlet series over the rational function field using n order...

We investigate the quantum deformation of Wheeler--DeWitt equation a Schwarzchild black hole. Specifically, deformed hole is quantized model constructed from Heisenberg--Weyl $U_q(h_4)$ group. show that event horizon area and mass are quantized, degenerate, bounded. The degeneracy states indicates entangled hole/white states. Accordingly, provides new framework to examine Einstein--Rosen wormho...

We consider a class of exponentials in the Weyl-Heisenberg algebra with exponents type at most linear coordinates and arbitrary functions momenta. They are expressed terms normal ordering where stand to left from Exponents appearing ordered form satisfy differential equations boundary conditions that could be solved perturbatively order by order. Two propositions presented for 2 dimensions thei...

It is shown that the higher order supersymmetric partners of the harmonic oscillator Hamiltonian provide the simplest non-trivial realizations of the polynomial Heisenberg algebras. A linearized version of the corresponding annihilation and creation operator leads to a Fock representation which is the same as for the harmonic oscillator Hamiltonian. 1. Introduction. The non-linear algebras have...

We study quantum secure direct communication by using a general preshared state and generalization of dense coding. In this scenario, Alice is allowed to apply unitary on the encode her message, set unitaries forms group. To decode Bob measurement across his own system he receives. worst we guarantee that Eve obtains no information for message even when access joint between she intercepts origi...

The noncommutative space of light-like worldlines that is covariant under the (or null-plane) $\kappa$-deformation (3+1) Poincar\'e group fully constructed as quantization corresponding Poisson homogeneous null geodesics. This new geodesics five-dimensional, and turns out to be defined a quadratic algebra can mapped non-central extension direct sum two Heisenberg-Weyl algebras whose parameter j...

Generalized KdV hierarchies associated by Drinfeld-Sokolov reduction to grade one regular semisimple elements from non-equivalent Heisenberg subalgebras of a loop algebra G ⊗ C[λ, λ −1 ] are studied. The graded Heisenberg subalgebras containing such elements are labelled by the regular conjugacy classes in the Weyl group W(G) of the simple Lie algebra G. A representative w ∈ W(G) of a regular c...