Form perturbations of the second quantized Dirac field.
Displaying 41 – 60 of 68
Formal differential geometry and Nambu-Takhtajan algebra
Yuri Daletskii, Vitaly Kushnirevitch (1997)
Banach Center Publications
Formula for unbiased bases
Maurice R. Kibler (2010)
Kybernetika
The present paper deals with mutually unbiased bases for systems of qudits in dimensions. Such bases are of considerable interest in quantum information. A formula for deriving a complete set of mutually unbiased bases is given for where is a prime integer. The formula follows from a nonstandard approach to the representation theory of the group . A particular case of the formula is derived from the introduction of a phase operator associated with a generalized oscillator algebra. The case...
Fourier Mukai transforms and applications to string theory.
Björn Andreas, Daniel Hernández Ruipérez (2005)
RACSAM
El artículo es una introducción a la transformación de Fourier-Mukai y sus aplicaciones a varios problemas de móduli, teoría de cuerdas y simetría "mirror". Se desarrollan los fundamentos necesarios para las transformaciones de Fourier-Mukai, entre ellos las categorías derivadas y los functores integrales. Se explican además sus versiones relativas, que se necesitan para precisar la noción de T-dualidad fibrada en variedades de Calabi-Yau elípticas de dimensión tres. Se consideran también varias...
Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements
Vladimír Olejček (2012)
Kybernetika
Does there exist an atomic Archimedean lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question is given.
Free dynamical quantum groups and the dynamical quantum group
Thomas Timmermann (2012)
Banach Center Publications
We introduce dynamical analogues of the free orthogonal and free unitary quantum groups, which are no longer Hopf algebras but Hopf algebroids or quantum groupoids. These objects are constructed on the purely algebraic level and on the level of universal C*-algebras. As an example, we recover the dynamical studied by Koelink and Rosengren, and construct a refinement that includes several interesting limit cases.
Free field approach to solutions of the quantum Knizhnik-Zamolodchikov equations.
Kuroki, Kazunori, Nakayashiki, Atsushi (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Free field construction of D-branes in rational models of CFT and Gepner models.
Parkhomenko, Sergei E. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Free quasi-symmetric functions, product actions and quantum field theory of partitions.
Duchamp, Gérard H.E., Luque, Jean-Gabriel, Penson, Karol A., Tollu, Christophe (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
From astrology to topology via Feynman diagrams and Lie algebras
Bar-Natan, Dror (2000)
Proceedings of the 19th Winter School "Geometry and Physics"
Summary of the three lectures. These notes are available electronically at http://www.ma.huji.ac.il/~drorbn/Talks/Srni-9901/notes.html.
From double Lie groups to quantum groups
Piotr Stachura (2005)
Fundamenta Mathematicae
It is shown, using geometric methods, that there is a C*-algebraic quantum group related to any double Lie group (also known as a matched pair of Lie groups or a bicrossproduct Lie group). An algebra underlying this quantum group is the algebra of a differential groupoid naturally associated with the double Lie group.
From holonomy of the Ising model form factors to -fold integrals and the theory of elliptic curves.
Boukraa, Salah, Hassani, Saoud, Maillard, Jean-Marie, Zenine, Nadjah (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
From multi-instantons to exact results
Jean Zinn-Justin (2003)
Annales de l’institut Fourier
In these notes, conjectures about the exact semi-classical expansion of eigenvalues of hamiltonians corresponding to potentials with degenerate minima, are recalled. They were initially motivated by semi-classical calculations of quantum partition functions using a path integral representation and have later been proven to a large extent, using the theory of resurgent functions. They take the form of generalized Bohr--Sommerfeld quantization formulae. We explain here their...
From -level atom chains to n-dimensional noises
Stéphane Attal, Yan Pautrat (2005)
Annales de l'I.H.P. Probabilités et statistiques
From noncommutative sphere to nonrelativistic spin.
Deriglazov, Alexei A. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
From Planck to Ramanujan : a quantum noise in equilibrium
Michel Planat (2002)
Journal de théorie des nombres de Bordeaux
We describe a new model of massless thermal bosons which predicts an hyperbolic fluctuation spectrum at low frequencies. It is found that the partition function per mode is the Euler generating function for unrestricted partitions ). Thermodynamical quantities carry a strong arithmetical structure : they are given by series with Fourier coefficients equal to summatory functions of the power of divisors, with for the free energy, for the number of particles and for the internal energy. Low...
From power pure point to continuous spectrum in disordered systems
François Delyon, Barry Simon, Bernard Souillard (1985)
Annales de l'I.H.P. Physique théorique
From random telegraph to Gaussian stochastic noises: decoherence and spectral diffusion in a semiconductor quantum dot.
Berthelot, Alice, Voisin, Christophe, Delalande, C., Roussignol, Ph., Ferreira, Robson, Cassabois, G. (2010)
Advances in Mathematical Physics
From the Fermi-Walker to the Cartan connection
Lafuente, Javier, Salvador, Beatriz (2000)
Proceedings of the 19th Winter School "Geometry and Physics"
Let be a -manifold with a Riemannian conformal structure . Given a regular curve on , the authors define a linear operator on the space of (differentiable) vector fields along , only depending on , called the Fermi-Walker connection along . Then, the authors introduce the concept of Fermi-Walker parallel vector field along , proving that such vector fields set up a linear space isomorphic to the tangent space at a point of . This allows to consider the Fermi-Walker horizontal lift of...
Fuchsian groups and uniformization of Hurwitz spaces.
S. M. Natanzon (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales