In recently proposed electricity markets, price-based competitive behaviours of power suppliers (i.e., generators), energy service providers and large users (i.e., consumers) have been formulated using various auction algorithms (see Post et al., 1995; Wolfram, 1998; Dekrajangpetch and Shebl, 2000; Nicolaisen et al., 2001; Swider and Weber, 2007). In this paper, quantized Progressive Second Pri...

We study semi-classical limits of eigenfunctions of a quantized linear hyperbolic automorphism of the torus (" cat map "). For some values of Planck's constant, the spectrum of the quan-tized map has large degeneracies. Our first goal in this paper is to show that these degeneracies are coupled to the existence of quantum symmetries. There is a commutative group of unitary operators on the stat...

Symmetries of multi-anyon wavefunctions are analysed with the help of a second quantized formulation. Analogues of Slater determinants are constructed. It is shown that the Pauli principle is not enforced. e-mail address [email protected]

Quantum gravity as a unified theory coupled to quantized matter fields. Abstract In this paper we place some results of previous works together into a larger overall context. First we quantize the gravity-matter system in Ashtekar variables as a unified field, combining the Dirac, reduced phase space, geometric and path integration approaches, and construct the generalized Kodama state by expan...

In spatial dimensions d>or=2, Kondo lattice models of conduction and local moment electrons can exhibit a fractionalized, nonmagnetic state (FL(*)) with a Fermi surface of sharp electronlike quasiparticles, enclosing a volume quantized by (rho(a)-1)(mod 2), with rho(a) the mean number of all electrons per unit cell of the ground state. Such states have fractionalized excitations linked to the d...

The gauge compensation fields induced by the differential operators of the Stueckelberg-Schrödinger equation are discussed, as well as the relation between these fields and the standard Maxwell fields. An action is constructed and the second quantiza-tion of the fields carried out using a constraint procedure. Some remarks are made on the properties of the second quantized matter fields.

In this paper we show that there is a link between the combinatorics of the canonical basis of a quantized enveloping algebra and the monomial bases of the second author [21] arising from representations of quivers. We prove that some reparametrization functions of the canonical basis, arising from the link between Lusztig’s approach to the canonical basis and the string parametrization of the ...

In spatial dimensions d ≥ 2, Kondo lattice models of conduction and local moment electrons can exhibit a fractionalized, non-magnetic state (FL∗) with a Fermi surface of sharp electron-like quasiparticles, enclosing a volume quantized by (ρa − 1)(mod 2), with ρa the mean number of all electrons per unit cell of the ground state. Such states have fractionalized excitations linked to the deconfin...

For a model of atoms and molecules made from static nuclei and non-relativistic electrons coupled to the quantized radiation field (the standard model of non-relativistic QED), we prove a Mourre estimate and a limiting absorption principle in a neighborhood of the ground state energy. As corollaries we derive local decay estimates for the photon dynamics, and we prove absence of (excited) eigen...