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Displaying 1241 – 1260 of 2286

On the quantal nature of the Coulomb field

Andrzej Staruszkiewicz (1997)

Banach Center Publications

It is shown that the total electric charge, as determined from the Gauss law, is a quantum object. The argument is based on elementary considerations concerning the number of photons, which should be large in a classical situation.

On the quantum chromatic number of a graph.

Cameron, Peter J., Montanaro, Ashley, Newman, Michael W., Severini, Simone, Winter, Andreas (2007)

The Electronic Journal of Combinatorics [electronic only]

On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section

D. R. Yafaev (1988/1989)

Séminaire Équations aux dérivées partielles (Polytechnique)

On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics

A. V. Sobolev, D. R. Yafaev (1986)

Annales de l'I.H.P. Physique théorique

On the relative fundamental solutions for a second order differential operator on the Heisenberg group

T. Godoy, L. Saal (2001)

Studia Mathematica

Let Hₙ be the (2n+1)-dimensional Heisenberg group, let p,q ≥ 1 be integers satisfying p+q=n, and let $L = \sum_{j = 1}^{p} (X ²_{j} + Y ²_{j}) - \sum_{j = p + 1}^{n} (X ²_{j} + Y ²_{j})$ , where X₁,Y₁,...,Xₙ,Yₙ,T denotes the standard basis of the Lie algebra of Hₙ. We compute explicitly a relative fundamental solution for L.

On the relativistic calculation of the Lamb shift

Roger Boudet (1996)

Banach Center Publications

A relativistic calculation of the Lamb shift, using the classical field created by the Dirac transition currents, is proposed.

On the renormalization group iteration of a two-dimensional hierarchical non-linear $O (N) σ$ -model

A. Pordt, T. Reisz (1991)

Annales de l'I.H.P. Physique théorique

On the role of the normalization factors $κ_{n}$ and of the pseudo-metric $𝒫 \neq 𝒫^{†}$ in crypto-Hermitian quantum models.

Znojil, Miloslav (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

On the Scattering Matrix for N-Particle Hamiltonians

D. Yafaev (1992/1993)

Publications mathématiques et informatique de Rennes

On the scattering theory for quantum dynamical semigroups

Robert Alicki (1981)

Annales de l'I.H.P. Physique théorique

On the second order absolute differentiation

Cabras, Antonella, Kolář, Ivan (1999)

Proceedings of the 18th Winter School "Geometry and Physics"

In this paper the authors compare two different approaches to the second order absolute differentiation of a fibered manifold (one of them was studied by the authors [Arch. Math., Brno 33, 23-35 (1997; Zbl 0910.53014)]. The main goal is the extension of one approach to connections on functional bundles of all smooth maps between the fibers of two fibered manifolds over the same base (we refer to the book “Natural Operations in Differential Geometry” [Springer, Berlin (1993; Zbl 0782.53013)] I. Kolar,...

On the second quantisation of Hilbert-Schmidt processes

David Applebaum (1995)

Annales de l'I.H.P. Physique théorique

On the semi-classical approximation of the solution of the Heisenberg equation with spin

Wataru Ichinose (1997)

Annales de l'I.H.P. Physique théorique

On the set representation of an orthomodular poset

John Harding, Pavel Pták (2001)

Colloquium Mathematicae

Let P be an orthomodular poset and let B be a Boolean subalgebra of P. A mapping s:P → ⟨0,1⟩ is said to be a centrally additive B-state if it is order preserving, satisfies s(a') = 1 - s(a), is additive on couples that contain a central element, and restricts to a state on B. It is shown that, for any Boolean subalgebra B of P, P has an abundance of two-valued centrally additive B-states. This answers positively a question raised in [13, Open question, p. 13]. As a consequence one obtains a somewhat...

On the set-theoretical Yang-Baxter equation.

Nichita, Florin F. (2003)

Acta Universitatis Apulensis. Mathematics - Informatics

On the simplicial structure of some Weil bundles

Kureš, Miroslav (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

The author considers the problem to give explicit descriptions for several types of bundles on smooth manifolds, naturally related with the bundle of $k$ -dimensional velocities, or $k$ -jets. In fact, this kind of bundles are very natural objects in differential geometry, mechanics and Lagrangian dynamics. For this the author considers Weil bundles that arose from Weil algebras. If a suitable combinatorial data is provided by a simplicial coloured structure, then the author describes the corresponding...

On the singular spectrum for adiabatic quasiperiodic Schrödinger operators.

Marx, Magali, Najar, Hatem (2010)

Advances in Mathematical Physics

On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov–Bohm magnetic field.

Hansson, Anders M. (2005)

International Journal of Mathematics and Mathematical Sciences

On the spectrum of a discrete non-Hermitian quantum system.

Ergun, Ebru (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

On the spectrum of Robin Laplacian in a planar waveguide

Alex Ferreira Rossini (2019)

Czechoslovak Mathematical Journal

We consider the Laplace operator in a planar waveguide, i.e. an infinite two-dimensional straight strip of constant width, with Robin boundary conditions. We study the essential spectrum of the corresponding Laplacian when the boundary coupling function has a limit at infinity. Furthermore, we derive sufficient conditions for the existence of discrete spectrum.

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