Comparison between the Dirac eigenvalues for
A comparison of the eigenvalues of the Dirac and Laplace operators on a two-dimensional torus
... Abstract. We compare the eigenvalues of the Dirac and Laplace operator on a two-dimensio- nal torus with respect to the trivial spin structure. In particular, we compute their variation up to order 4 upon ...
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Computing eigenvalues and Hermite interpolation for Dirac systems with eigenparameter in boundary conditions
... interpolations’ to compute approximate values of the eigenvalues of Dirac systems with eigenvalue parameter in one or two boundary conditions. We use recently derived estimates for the truncation and ...
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Computation of eigenvalues of discontinuous dirac system using Hermite interpolation technique
... computing eigenvalues with the new method, Hermite interpola- tion technique, are few (see ...of eigenvalues with dis- continuous are few (see ...of eigenvalues by Hermite interpolation technique ...
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The relation between A harmonic operator and A Dirac system
... Abstract In this paper, we show how an A-harmonic operator arises from Dirac systems under controllable growth condition. By the method of removable singularities for solutions to the A-Dirac system with ...
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The relation between Maxwell, Dirac, and the Seiberg Witten equations
... a Dirac-Hestenes spinor field) the equation F = ψγ 21 ψ, where ˜ F is a given electromagnetic ...a Dirac-Hestenes spinor field that solves the Dirac-Hestenes equation for a free ...
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A Comparison of Methods for Computing the Eigenvalues and Eigenvectors of a Matrix EUR 4055
... When the order of the matrices is less than 25, there is good agreement of the trace of the original matrix with the sum of the eigenvalues computed (in "single precision") by [r] ...
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Comparison of Smallest Eigenvalues for Nabla Fractional Boundary Value Problems
... smallest eigenvalues for nabla fractional boundary value problems involving a fractional dif- ference boundary condition, using the theory of u 0 -positive operators with respect to a cone in a Banach ...
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Existence and comparison of smallest eigenvalues for a fractional boundary-value problem
... smallest eigenvalues of boundary value problems for dif- ferential equations, difference equations, and dynamic equations on time ...smallest eigenvalues is to apply the theory of u 0 -positive operators ...
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Graphs with Few Eigenvalues. An Interplay between Combinatorics and Algebra.
... adjacency eigenvalues, as the proofs are built on the special structure of the adjacency ...Laplace eigenvalues θ i and the adjacency eigenvalues λ i are related by λ i 2 = (k 1 − θ i )(k 2 − θ i ) ...
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Link between the Relativistic Canonical Quantum Mechanics and the Dirac Equation
... the Dirac equation, is written down (section ...the Dirac equation derivation is ...the Dirac equation (and its content) would follow di- rectly and unambiguously?” We are able to demonstrate that ...
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On a nonresonance condition between the first and the second eigenvalues for the p Laplacian
... Tsouli, On the second eigenvalue of the p-Laplacian , Nonlinear Partial Differential Equations (Fès, 1994), Pitman Research Notes in Mathematics Series, volN. Mustonen, Nonlinear Mappings[r] ...
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Relationship between Eigenvalues and Size of Time Step in Computer Simulation of Thermomechanics Phenomena
... Index Terms—eigenvalues, numerical methods, computer simulation, solidification processing I. I NTRODUCTION A NUMERICAL modeling of solidification is known to be a very time consuming task. The constantly ...
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Dirac Live & the RS20i
... Optimization Dirac Live® is unique to the marketplace in that it provides true working impulse response correction as measured over larger listening ...similarity between and the quality of the channel ...
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DIRAC experiment at CERN
... have been cut to have the space to install the heavy gas C 4 F 10 Cerenkov detectors. With an e ffi ciency of more that 99% they identify pions while not responding to kaons or (anti)protons. The average number of ...
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Dirac Plasmon Polaritons
... chiral Dirac modes, as well as the ability to precisely tune the bandstructure and ...interaction between the plasmonic modes and a photonic ...interaction between collective plasmons and the ...
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I. Eigenvectors and eigenvalues
... passing between these viewpoints is the dot product — also known as the inner product or scalar product — which provides algebraic means for working with geometric notions such as lengths or angle ...
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Eigenvalues of Matrices and Graphs
... Using for instance variants of the power iteration, one may additionally ex- ploit sparsity to find those few eigenvalues. The theoretical analysis of large graphs usually assumes some global structure, e.g. a ...
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On Eigenvalues of Permutation Graphs
... gap between two greatest eigenvalues of the generalized Petersen graphs P (n; k) and P(n; k 0 ), where 2 ≤ k, k 0 ≤ n − 1, tends to zero as n is sufficiently ...distances between spectra of ...
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Eigenvalues and the Laplacian of a graph
... More examples can be found in Chapter 6 on explicit constructions. 1.3. Basic facts about the spectrum of a graph Roughly speaking, half of the main problems of spectral theory lie in deriving bounds on the distributions ...
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APPLICATION OF THE GENERALIZED CLIFFORD-DIRAC ALGEBRA TO THE PROOF OF THE DIRAC EQUATION FERMI-BOSE DUALITY
... relationship between the fields of integer and half-integer spins, see ...the Dirac equation is invariant, were ...massless Dirac equation ([27]-[33] and references ...of Dirac equation with m ...
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