On wave functions in quantum mechanics. Part 3. A theory of quantum mechanics where wave functions are defined by means of surely fundamental observables
On Yetter's invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups.
One-dimensional vertex models associated with a class of Yangian invariant Haldane-Shastry like spin chains.
One-loop calculations and detailed analysis of the localized non-commutative gauge model.
Open/Closed string topology and moduli space actions via open/closed Hochschild actions.
Opening gaps in the spectrum of strictly ergodic Schrödinger operators
We consider Schrödinger operators with dynamically defined potentials arising from continuous sampling along orbits of strictly ergodic transformations. The Gap Labeling Theorem states that the possible gaps in the spectrum can be canonically labelled by an at most countable set defined purely in terms of the dynamics. Which labels actually appear depends on the choice of the sampling function; the missing labels are said to correspond to collapsed gaps. Here we show that for any collapsed gap,...
Opérateurs de Schrödinger avec champs magnétiques faibles et constants
Opérateurs de temps-retard dans la théorie de la diffusion
Opérateurs d'échange et quelques applications des méthodes de noyaux
Opérateurs -pseudodifférentiels à flot périodique
Operator gauge symmetry in QED.
Operators of the q-oscillator
We scrutinize the possibility of extending the result of [19] to the case of q-deformed oscillator for q real; for this we exploit the whole range of the deformation parameter as much as possible. We split the case into two depending on whether a solution of the commutation relation is bounded or not. Our leitmotif is subnormality. The deformation parameter q is reshaped and this is what makes our approach effective. The newly arrived parameter, the operator C, has two remarkable properties: it...
Optimal Holomorphic Hypercontractivity for CAR Algebras
We present a new proof of Janson’s strong hypercontractivity inequality for the Ornstein-Uhlenbeck semigroup in holomorphic algebras associated with CAR (canonical anticommutation relations) algebras. In the one generator case we calculate optimal bounds for t such that is a contraction as a map for arbitrary p ≥ 2. We also prove a logarithmic Sobolev inequality.
Optique Géométrique et invariance de jauge : Solutions oscillantes d’amplitude critique pour les équations de Yang-Mills
Orbital stability of standing waves for a class of Schrödinger equations with unbounded potential.
Order properties of splitting subspaces in an inner product space
Ordering of energy levels for extended Hubbard chain.
Ordering of observables and characterization of conditional expectation
Orthocomplemented difference lattices with few generators
The algebraic theory of quantum logics overlaps in places with certain areas of cybernetics, notably with the field of artificial intelligence (see, e. g., [19, 20]). Recently an effort has been exercised to advance with logics that possess a symmetric difference ([13, 14]) - with so called orthocomplemented difference lattices (ODLs). This paper further contributes to this effort. In [13] the author constructs an ODL that is not set-representable. This example is quite elaborate. A main result...
Orthogonal Forms and Probability in von Neumann Algebras.