Distribution of matrix elements and level spacings for classically chaotic systems
Distributional asymptotic expansions of spectral functions and of the associated Green kernels.
Divergence between various estimates of quantized information sources
Divergence operators and odd Poisson brackets
We define the divergence operators on a graded algebra, and we show that, given an odd Poisson bracket on the algebra, the operator that maps an element to the divergence of the hamiltonian derivation that it defines is a generator of the bracket. This is the “odd laplacian”, , of Batalin-Vilkovisky quantization. We then study the generators of odd Poisson brackets on supermanifolds, where divergences of graded vector fields can be defined either in terms of berezinian volumes or of graded connections. Examples...
Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere.
Divisible effect algebras and interval effect algebras
It is shown that divisible effect algebras are in one-to-one correspondence with unit intervals in partially ordered rational vector spaces.
Do nonsingular globally bounded positon solutions exist?
Double and triple summation expressions obtained using perturbation theory.
Dressing transformation on quantum compact groups
Dualités de champs et de cordes
Dynamical entropy of a non-commutative version of the phase doubling
A quantum dynamical system, mimicking the classical phase doubling map on the unit circle, is formulated and its ergodic properties are studied. We prove that the quantum dynamical entropy equals the classical value log2 by using compact perturbations of the identity as operational partitions of unity.
Dynamical matrices of elliptic quantum groups and connection matrices for the -KZ equations.
Dynamical Resonances and SSF Singularities for a Magnetic Schrödinger Operator
We consider the Hamiltonian H of a 3D spinless non-relativistic quantum particle subject to parallel constant magnetic and non-constant electric field. The operator H has infinitely many eigenvalues of infinite multiplicity embedded in its continuous spectrum. We perturb H by appropriate scalar potentials V and investigate the transformation of these embedded eigenvalues into resonances. First, we assume that the electric potentials are dilation-analytic with respect to the variable along the magnetic...
Dynamical symmetries in supersymmetric matrix models.
Dynamics of entanglement between a quantum dot spin qubit and a photon qubit inside a semiconductor high-Q nanocavity.