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A Second Order Finite Difference-Spectral Method for Space Fractional Diffusion Equation
A Second Order Finite Difference-Spectral Method Space Fractional Diffusion Equation
2012/8/7
A high order finite difference-spectral method is derived for solving space fractional diffusion equations, by combining the second order finite difference method in time and the spectral Galerkin met...
Quasi-plane waves for spin 1 field in Lobachevsky space and a generalized helicity operator
Quasi-plane waves spin 1 field Lobachevsky space generalized helicity operator Mathematical Physics
2012/5/9
Spin 1 particle is investigated in 3-dimensional curved space of constant negative curvature. An extended helicity operator is defined and the variables are separated in a tetrad-based 10-dimensional ...
Dimension of the moduli space and Hamiltonian analysis of BF field theories
Index theorem moduli space Hamiltonian dynamics
2011/9/22
Abstract: By using the Atiyah-Singer theorem through some similarities with the instanton and the anti-instanton moduli spaces, the dimension of the moduli space for two and four-dimensional BF theori...
Observables for bound orbital motion in axially symmetric space-times
Observables axially symmetric space-times General Relativity and Quantum Cosmology
2011/10/10
Abstract: The periastron shift and the Lense-Thirring effect of bound orbital motion in a general axially symmetric space-time given by Pleba\'nski and Demia\'nski are analyzed. We also define a measu...
A vanishing theorem for operators in Fock space
non-relativistic quantum electrodynamics Fock space operator theoretic renormalization symmetry
2011/9/19
Abstract: We consider the bosonic Fock space over the Hilbert space of transversal vector fields in three dimensions. This space carries a canonical representation of the group of rotations. For a cer...
On the Existence of a Self-Similar Coarse Graining of a Self-Similar Space
self-similar set fractals dynamical system Cantor set coarse graining
2011/9/16
Abstract: A topological space homeomorphic to a self-similar space is demonstrated to be self-similar. There exists a self-similar space $S$ whose coarse graining is homeomorphic to $S$. The coarse gr...
Solitons in Maximally Entangled Two Qubit Phase Space
Maximally Entangled Two Qubit Phase Space Quantum Physics
2011/9/29
Abstract: Motivated by M\"obius transformation for symmetrical points under the generalized circle in complex plane, the system of symmetrical spin coherent states corresponding to antipodal qubit sta...
Geometry and Shape of Minkowski's Space Conformal Infinity
Minkowski space space-time conformal group twistors infinity Cli ord algebra cyclide
2011/8/25
Abstract: We review and further analyze Penrose's 'light cone at infinity' - the conformal closure of Minkowski space. Examples of a potential confusion in the existing literature about it's geometry ...
Propagators and Matrix Basis on Noncommutative Minkowski Space
Propagators Matrix Basis Noncommutative Minkowski Space High Energy Physics - Theory
2011/7/29
Abstract: We describe an analytic continuation of the Euclidean Grosse-Wulkenhaar and LSZ models which defines a one-parameter family of duality covariant noncommutative field theories interpolating b...
The BGG Complex on Projective Space
The BGG Complex Projective Space Differential Geometry projective space Lie algebra cohomology
2011/7/28
Abstract: We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
A generalized model for Yang-Fourier transforms in fractal space
local fractional calculus Yang-Fourier transforms fractal
2011/7/26
Abstract: Yang-Fourier transform is derived from local fractional calculus. This paper presents a generalized model for Yang-Fourier transform in fractal space and some results are investigated in det...
Applications of local fractional calculus to engineering in fractal time-space: Local fractional differential equations with local fractional derivative
local fractional calculus fractal time-space local fractional derivative local fractional differential equation
2011/7/26
Abstract: This paper presents a better approach to model an engineering problem in fractal-time space based on local fractional calculus. Some examples are given to elucidate to establish governing eq...
Fractional Trigonometric Functions in Complex-valued Space: Applications of Complex Number to Local Fractional Calculus of Complex Function
Fractional trigonometric function complex function local fractional calculus fractal space
2011/7/26
Abstract: This paper presents the fractional trigonometric functions in complex-valued space and proposes a short outline of local fractional calculus of complex function in fractal spaces.
On a proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time
collapse conjecture diagonal Bianchi type-IX vacuum space-time General Relativity and Quantum Cosmology
2011/7/27
Abstract: It is given a simple proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time. It is shown that the codimension of the infinity stable attractor, restricted to the a...
Fuzzy Geometry via the Spinor Bundle, with Applications to Holographic Space-time and Matrix Theory
Fuzzy Geometry the Spinor Bundle Holographic Space-time Matrix Theory
2011/7/27
Abstract: We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-Flux op...