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Displaying 1 – 20 of 90

$P T$ symmetric Schrödinger operators: reality of the perturbed eigenvalues.

Caliceti, Emanuela, Cannata, Francesco, Graffi, Sandro (2010)

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

Para-Grassmann variables and coherent states.

Cabra, Daniel C., Moreno, Enrique F., Tanasă, Adrian (2006)

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

Partial Bell-state analysis with parametric down conversion in the Wigner function formalism.

Casado, A., Guerra, S., Plácido, J. (2010)

Advances in Mathematical Physics

Particle approximations of Lyapunov exponents connected to Schrödinger operators and Feynman–Kac semigroups

Pierre Del Moral, L. Miclo (2003)

ESAIM: Probability and Statistics

We present an interacting particle system methodology for the numerical solving of the Lyapunov exponent of Feynman–Kac semigroups and for estimating the principal eigenvalue of Schrödinger generators. The continuous or discrete time models studied in this work consists of $N$ interacting particles evolving in an environment with soft obstacles related to a potential function $V$ . These models are related to genetic algorithms and Moran type particle schemes. Their choice is not unique. We will examine...

Particle approximations of Lyapunov exponents connected to Schrödinger operators and Feynman–Kac semigroups

Pierre Del Moral, L. Miclo (2010)

ESAIM: Probability and Statistics

We present an interacting particle system methodology for the numerical solving of the Lyapunov exponent of Feynman–Kac semigroups and for estimating the principal eigenvalue of Schrödinger generators. The continuous or discrete time models studied in this work consists of N interacting particles evolving in an environment with soft obstacles related to a potential function V. These models are related to genetic algorithms and Moran type particle schemes. Their choice is not unique. We...

Particles in the superworldline and BRST

Eugenia Boffo (2022)

Archivum Mathematicum

In this short note we discuss $N$ -supersymmetric worldlines of relativistic massless particles and review the known result that physical spin- $N / 2$ fields are in the first BRST cohomology group. For $N = 1, 2, 4$ , emphasis is given to particular deformations of the BRST differential, that implement either a covariant derivative for a gauge theory or a metric connection in the target space seen by the particle. In the end, we comment about the possibility of incorporating Ramond-Ramond fluxes in the background.

Partition-dependent stochastic measures and $q$ -deformed cumulants.

Anshelevich, Michael (2001)

Documenta Mathematica

Path integrals in finite sets

Erik G. F. Thomas (1994)

Acta Universitatis Carolinae. Mathematica et Physica

Peak functions on convex domains

Kolář, Martin (2000)

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

Let $Ω \subset ℂ^{n}$ be a domain with smooth boundary and $p \in \partial Ω$ . A holomorphic function $f$ on $Ω$ is called a $C^{k}$ ( $k = 0, 1, 2, \dots$ ) peak function at $p$ if $f \in C^{k} (\bar{Ω})$ , $f (p) = 1$ , and $| f (q) | < 1$ for all $q \in \bar{Ω} ∖ {p}$ . If $Ω$ is strongly pseudoconvex, then $C^{\infty}$ peak functions exist. On the other hand, J. E. Fornaess constructed an example in $ℂ^{2}$ to show that this result fails, even for $C^{1}$ functions, on a weakly pseudoconvex domain [Math. Ann. 227, 173-175 (1977; Zbl 0346.32026)]. Subsequently, E. Bedford and J. E. Fornaess showed that there is always a continuous peak function on a...

Periodic graphs.

Godsil, Chris (2011)

The Electronic Journal of Combinatorics [electronic only]

Periodic Schrödinger Operators with Constant Weak Magnetic Fields

B. Helffer, J. Sjöstrand (1989)

Recherche Coopérative sur Programme n°25

Perron-Frobenius operators and the Klein-Gordon equation

Francisco Canto-Martín, Håkan Hedenmalm, Alfonso Montes-Rodríguez (2014)

Journal of the European Mathematical Society

For a smooth curve $Γ$ and a set $Λ$ in the plane $ℝ^{2}$ , let $A C (Γ; Λ)$ be the space of finite Borel measures in the plane supported on $Γ$ , absolutely continuous with respect to the arc length and whose Fourier transform vanishes on $Λ$ . Following [12], we say that $(Γ, Λ)$ is a Heisenberg uniqueness pair if $A C (Γ; Λ) = {0}$ . In the context of a hyperbola $Γ$ , the study of Heisenberg uniqueness pairs is the same as looking for uniqueness sets $Λ$ of a collection of solutions to the Klein-Gordon equation. In this work, we mainly address the...

Perspectivity and congruence in partial abelian semigroups

Alexander Wilce (1998)

Mathematica Slovaca

Perturbation approach for nuclear magnetic resonance solid-state quantum computation.

Berman, G.P., Kamenev, D.I., Tsifrinovich, V.I. (2003)

Journal of Applied Mathematics

Perturbation of an eigen-value from a dense point spectrum : a general Floquet hamiltonian

P. Duclos, P. Šťovíček, M. Vittot (1999)

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

Perturbative expansions in quantum mechanics

Mauricio D. Garay (2009)

Annales de l’institut Fourier

We prove a $D = 1$ analytic versal deformation theorem in the Heisenberg algebra. We define the spectrum of an element in the Heisenberg algebra. The quantised version of the Morse lemma already shows that the perturbation series arising in a perturbed harmonic oscillator become analytic after a formal Borel transform.

Perturbative quantum gravity and its relation to gauge theory.

Bern, Zvi (2002)

Living Reviews in Relativity [electronic only]

Perturbative treatment of the evolution operator associated with Raman couplings.

Militello, Benedetto, Aniello, Paolo, Messina, Antonino (2006)

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

Phase field model for mode III crack growth in two dimensional elasticity

Takeshi Takaishi, Masato Kimura (2009)

Kybernetika

A phase field model for anti-plane shear crack growth in two dimensional isotropic elastic material is proposed. We introduce a phase field to represent the shape of the crack with a regularization parameter $ϵ > 0$ and we approximate the Francfort–Marigo type energy using the idea of Ambrosio and Tortorelli. The phase field model is derived as a gradient flow of this regularized energy. We show several numerical examples of the crack growth computed with an adaptive mesh finite element method.

Phase Retrieval Techniques for Radar Ambiguity Problems.

Philippe Jaming (1999)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

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