O(2) action on the 5-sphere.
Observables on -MV algebras and -lattice effect algebras
Effect algebras were introduced as abstract models of the set of quantum effects which represent sharp and unsharp properties of physical systems and play a basic role in the foundations of quantum mechanics. In the present paper, observables on lattice ordered -effect algebras and their “smearings” with respect to (weak) Markov kernels are studied. It is shown that the range of any observable is contained in a block, which is a -MV algebra, and every observable is defined by a smearing of a sharp...
Oč vlastně jde v teorii Schrodingerových operátorů?
Odd anharmonic oscillators and shape resonances
On 4-planar mapping of special almost antiquaternionic spaces
On a characterization of probability measures on Boolean algebras and some orthomodular lattices
On a class of conservative, highly accurate Galerkin methods for the Schrödinger equation
On a Class of non Linear Schrödinger Equations with non Local Interaction.
On a class of polynomial Lagrangians
On a differential equation approach to quantum field theory : causality property for the solutions of Thirring's model
On a probabilistic interpretation of shape derivatives of Dirichlet groundstates with application to Fermion nodes
This paper considers Schrödinger operators, and presents a probabilistic interpretation of the variation (or shape derivative) of the Dirichlet groundstate energy when the associated domain is perturbed. This interpretation relies on the distribution on the boundary of a stopped random process with Feynman-Kac weights. Practical computations require in addition the explicit approximation of the normal derivative of the groundstate on the boundary. We then propose to use this formulation in the...
On a problem of Seiberg and Witten
We describe alternate methods of solution for a model arising in the work of Seiberg and Witten on N = 2 supersymmetric Yang-Mills theory and provide a complete argument for the characterization put forth by Argyres, Faraggi, and Shapere of the curve .
On a q-deformed harmonic oscillator with variable linear momentum.
On a sum of observables in a logic
On a summability of observables in generalized measurable spaces
On a theorem of Jörgens and Chernoff concerning essential self-adjointness of Dirac operators.
On absorbing boundary conditions for quantum transport equations
On action invariance under linear spinor-vector supersymmetry.
On admissible groups of diffeomorphisms
The phenomenon of determining a geometric structure on a manifold by the group of its automorphisms is a modern analogue of the basic ideas of the Erlangen Program of F. Klein. The author calls such diffeomorphism groups admissible and he describes them by imposing some axioms. The main result is the followingTheorem. Let , , be a geometric structure such that its group of automorphisms satisfies either axioms 1, 2, 3 and 4, or axioms 1, 2, 3’, 4, 5, 6 and 7, and is compact, or axioms 1, 2,...
On almost geodesic mappings of the type of Riemannian spaces preserving a system -orthogonal hypersurfaces