Date: Thu, 28 Apr 11 00:04:56 GMT Subject: math-ph daily 5 new + 7 crosses received by eprepget ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any comments regarding submissions directly to submitter. ------------------------------------------------------------------------------ Archives at http://arxiv.org/ To unsubscribe, e-mail To: math-ph@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received by eprepget from Tue 26 Apr 11 20:00:00 GMT to Wed 27 Apr 11 20:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1104.5073 Date: Wed, 27 Apr 2011 04:27:49 GMT (58kb) Title: Analytic continuations of Taylor series and the two-point boundary value problem of some nonlinear ordinary differential equations Authors: S. Abbasbandy, C. Bervillier Categories: math-ph hep-th math.MP Comments: 33 p., 5 figures \\ We compare and discuss the respective efficiency of two methods, based respectively on Pad\'{e} approximants and on conformal mappings, for solving quasi-analytically a two-point boundary value problem of a nonlinear ordinary differential equation (ODE) with the help of Taylor (Maclaurin) series. Six configurations of ODE and boundary conditions are successively considered according to the increasing difficulties that they offer. We use the complementarity of the two methods to illustrate their respective advantages and limits. We emphasize the importance of the existence of solutions with movable singularities in the efficiency of the methods particularly for the so-called Pad\'{e}-Hankel method. (We show that this latter method is equivalent to pushing a movable pole to infinity.) For each configuration, we determine the singularity distribution (in the complex plane of the independent variable) of the solution looked for and show how this distribution controls the efficiency of the two methods. In general the method based on Pad\'{e} approximants is easy to use and robust but heavier than the conformal mapping method which is a very refined method and should be used when high accuracy is required. \\ ( http://arxiv.org/abs/1104.5073 , 58kb) ------------------------------------------------------------------------------ \\ arXiv:1104.5198 Date: Wed, 27 Apr 2011 17:41:43 GMT (12kb) Title: Symplectic Covariance Properties for Shubin and Born-Jordan Pseudo-Differential Operators Authors: Maurice A. de Gosson Categories: math-ph math.CA math.MP math.SG quant-ph Comments: Abridged version of a submitted paper MSC-class: NA \\ Among all classes of pseudo-differential operators only the Weyl operators enjoy the property of symplectic covariance with respect to conjugation by elements of the metaplectic group. In this paper we show that there is, however, a weaker form of symplectic covariance for Shubin's {\tau}-dependent operators, in which the intertwiners no longer are metaplectic, but still are invertible non-unitary operators. We also study the case of Born--Jordan operators, which are obtained by averaging the {\tau}-operators over the interval [0,1] (such operators have recently been studied by Boggiatto and his collaborators). We show that metaplectic covariance still hold for these operators, with respect top a subgroup of the metaplectic group. \\ ( http://arxiv.org/abs/1104.5198 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1104.5199 Date: Wed, 27 Apr 2011 17:46:37 GMT (133kb) Title: Renormalization of the Yang-Mills spectral action Authors: Walter D. van Suijlekom Categories: math-ph hep-th math.MP Comments: 26 pages \\ We prove renormalizability of the full spectral action for the Yang-Mills system on a flat 4-dimensional background manifold. Interpreting the spectral action as a higher-derivative gauge theory, a power-counting argument shows that it is superrenormalizable. We determine the counterterms at one-loop using zeta function regularization in a background field gauge and establish their gauge invariance. Consequently, the spectral action can be renormalized by a simple shift of the coefficients appearing in the asymptotic expansion of the spectral action. This manuscript provides more details than the shorter companion paper, where we have used a (formal) quantum action principle to arrive at gauge invariance of the counterterms. Here, we give in addition an explicit expression for the gauge propagator. \\ ( http://arxiv.org/abs/1104.5199 , 133kb) ------------------------------------------------------------------------------ \\ arXiv:1104.5202 Date: Wed, 27 Apr 2011 17:57:38 GMT (49kb) Title: Plasmon Resonances in Nanoparticles, Their Applications to Magnetics and Relation to the Riemann Hypothesis Authors: Isaak D. Mayergoyz Categories: math-ph math.MP \\ The review of the mathematical treatment of plasmon resonances as an eigenvalue problem for specific boundary integral equations is presented and general properties of plasmon spectrum are outlined. Promising applications of plasmon resonances to magnetics are described. Interesting relation of eigenvalue treatment of plasmon resonances to the Riemann hypothesis is established. \\ ( http://arxiv.org/abs/1104.5202 , 49kb) ------------------------------------------------------------------------------ \\ arXiv:1104.5203 Date: Wed, 27 Apr 2011 18:02:27 GMT (613kb) Title: Non-Hermitian extensions of Wishart random matrix ensembles Authors: Gernot Akemann Categories: math-ph cond-mat.stat-mech math.MP Comments: 21 pages, 3 figures, presented at "Random Matrices, Statistical Physics and Information Theory", Krakow, 26-30/09/2010 \\ We briefly review the solution of three ensembles of non-Hermitian random matrices generalizing the Wishart-Laguerre (also called chiral) ensembles. These generalizations are realized as Gaussian two-matrix models, where the complex eigenvalues of the product of the two independent rectangular matrices are sought, with the matrix elements of both matrices being either real, complex or quaternion real. We also present the more general case depending on a non-Hermiticity parameter, that allows us to interpolate between the corresponding three Hermitian Wishart ensembles with real eigenvalues and the maximally non-Hermitian case. All three symmetry classes are explicitly solved for finite matrix size NxM for all complex eigenvalue correlations functions (and real or mixed correlations for real matrix elements). These are given in terms of the corresponding kernels built from orthogonal or skew-orthogonal Laguerre polynomials in the complex plane. We then present the corresponding three Bessel kernels in the complex plane in the microscopic large-N scaling limit at the origin, both at weak and strong non-Hermiticity with M-N greater or equal to 0 fixed. \\ ( http://arxiv.org/abs/1104.5203 , 613kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:hep-th/0611301 (*cross-listing*) Date: Tue, 28 Nov 2006 11:05:25 GMT (15kb) Date (revised v2): Wed, 27 Apr 2011 05:47:51 GMT (16kb) Title: Noncommutative Description of Quantum Spin Hall Effect Authors: Ahmed Jellal, Rachid Houca Categories: hep-th cond-mat.mes-hall math-ph math.MP Comments: 17 pages Journal-ref: Int.J.Geom.Meth.Mod.Phys.6:343-360,2009 \\ We propose an approach based on a generalized quantum mechanics to deal with the basic features of the intrinsic spin Hall effect. This can be done by considering two decoupled harmonic oscillators on the noncommutative plane and evaluating the spin Hall conductivity. Focusing on the high frequency regime, we obtain a diagonalized Hamiltonian. After getting the corresponding spectrum, we show that there is a Hall conductivity without an external magnetic field, which is noncommutativity parameter \theta-dependent. This allows us to make contact with the spin Hall effect and also give different interpretations. Fixing \theta, one can recover three different approaches dealing with the phenomenon. \\ ( http://arxiv.org/abs/hep-th/0611301 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:0904.2744 (*cross-listing*) Date: Fri, 17 Apr 2009 17:16:39 GMT (10kb) Date (revised v2): Wed, 27 Apr 2011 00:40:37 GMT (100kb) Title: From the mass gap in O(N) to the non-Borel-summability in O(3) and O(4) sigma-models Authors: Dmytro Volin Categories: hep-th cond-mat.stat-mech math-ph math.MP Comments: 4 pages; v2: +1 figure, typos corrected, formula (23) corrected; improved explanation and discussion throughout the text; references added Journal-ref: Phys.Rev.D81:105008,2010 DOI: 10.1103/PhysRevD.81.105008 \\ We give an analytical derivation of the mass gap of the O(N) sigma models and investigate a large-order behavior of the weak coupling asymptotic expansion for the energy. For sufficiently large N the series is sign-oscillating, which is expected from the large N solution of the sigma model. However, for N=3 and N=4 the series are sign positive. \\ ( http://arxiv.org/abs/0904.2744 , 100kb) ------------------------------------------------------------------------------ \\ arXiv:1104.5038 (*cross-listing*) Date: Tue, 26 Apr 2011 21:53:09 GMT (15kb) Title: Homotopy Relations for Topological VOA Authors: Anton M. Zeitlin Categories: math.QA hep-th math-ph math.MP Comments: 15 pages, 1 figure \\ We consider a parameter-dependent version of the homotopy associative part of the Lian-Zuckerman homotopy algebra and provide the interpretation of multilinear operations of this algebra in terms of integrals over certain polytopes. We explicitly prove the pentagon relation up to homotopy and propose a construction of higher operations. \\ ( http://arxiv.org/abs/1104.5038 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1104.5066 (*cross-listing*) Date: Wed, 27 Apr 2011 03:30:55 GMT (265kb) Title: Poles Distribution of PVI Transcendents close to a Critical Point Authors: Davide Guzzetti Categories: math.CA math-ph math.AG math.MP Comments: 41 pages, 10 figures MSC-class: 34M55 \\ The distribution of the poles of branches of the Painleve' VI transcendents associated to semi-simple Frobenius manifolds is determined close to a critical point. It is shown that the poles accumulate at the critical point, asymptotically along two rays. The example of the Frobenius manifold given by the quantum cohomology of the two-dimensional complex projective space is also considered. \\ ( http://arxiv.org/abs/1104.5066 , 265kb) ------------------------------------------------------------------------------ \\ arXiv:1104.5067 (*cross-listing*) Date: Wed, 27 Apr 2011 03:39:33 GMT (8kb) Title: Rarita-Schwinger Quantum Free Field Via Deformation Quantization Authors: B. Carballo Perez, H. Garcia-Compean Categories: hep-th math-ph math.MP quant-ph Comments: 7 pages, no figures Report-no: Cinvestav-11/67 \\ Rarita-Schwinger (RS) quantum free field is reexamined in the context of deformation quantization. It is found out that the subsidiary condition does not introduce any change either in the Wigner function or in other aspects of the deformation quantization formalism, in relation to the Dirac field case. This happens because the vector structure of the RS field imposes constraints on the space of wave function solutions and not on the operator structure. The RS propagator was also calculated within this formalism. \\ ( http://arxiv.org/abs/1104.5067 , 8kb) ------------------------------------------------------------------------------ \\ arXiv:1104.5144 (*cross-listing*) Date: Wed, 27 Apr 2011 13:53:11 GMT (755kb) Title: Links and Quantum Entanglement Authors: A.I. Solomon, C.-L. Ho Categories: quant-ph math-ph math.GR math.MP Comments: 8 pages, 4 figures. Appeared in the Proceedings of the Conference in honour of Murray Gell-Mann's 80th birthday (24-26 Feb 2010, NTU, Singapore),pg.646-660 \\ We discuss the analogy between topological entanglement and quantum entanglement, particularly for tripartite quantum systems. We illustrate our approach by first discussing two clearly (topologically) inequivalent systems of three-ring links: The Borromean rings, in which the removal of any one link leaves the remaining two non-linked (or, by analogy, non-entangled); and an inequivalent system (which we call the NUS link) for which the removal of any one link leaves the remaining two linked (or, entangled in our analogy). We introduce unitary representations for the appropriate Braid Group ($B_3$) which produce the related quantum entangled systems. We finally remark that these two quantum systems, which clearly possess inequivalent entanglement properties, are locally unitarily equivalent. \\ ( http://arxiv.org/abs/1104.5144 , 755kb) ------------------------------------------------------------------------------ \\ arXiv:1104.5196 (*cross-listing*) Date: Wed, 27 Apr 2011 17:27:26 GMT (29kb) Title: Non-abelian T-duality, Ramond Fields and Coset Geometries Authors: Yolanda Lozano, Eoin 'O Colgain, Konstadinos Sfetsos and Daniel C. Thompson Categories: hep-th math-ph math.MP Comments: 35 pages, Latex \\ We extend previous work on non-abelian T-duality in the presence of Ramond fluxes to cases in which the duality group acts with isotropy such as in backgrounds containing coset spaces. In the process we generate new supergravity solutions related to D-brane configurations and to standard supergravity compactifications. \\ ( http://arxiv.org/abs/1104.5196 , 29kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:0805.2388 (*cross-listing*) replaced with revised version Wed, 27 Apr 2011 05:59:24 GMT (21kb) Title: Fractional Quantum Hall States in Graphene Authors: Ahmed Jellal, Bellati Malika Categories: hep-th cond-mat.mes-hall math-ph math.MP Comments: 20 pages Journal-ref: Int.J.Geom.Meth.Mod.Phys.7:143-164,2010 DOI: 10.1142/S0219887810003975 \\ ( http://arxiv.org/abs/0805.2388 , 21kb) ------------------------------------------------------------------------------ \\ arXiv:0906.0097 (*cross-listing*) replaced with revised version Wed, 27 Apr 2011 06:11:00 GMT (265kb) Title: Tunneling for Dirac Fermions in Constant Magnetic Field Authors: El Bouazzaoui Choubabi, Mohamed El Bouziani, Ahmed Jellal Categories: hep-th cond-mat.mes-hall math-ph math.MP Comments: 21 pages, 6 figures, misprints corrected Journal-ref: Int.J.Geom.Meth.Mod.Phys.7:909-931,2010 DOI: 10.1142/S0219887810004622 \\ ( http://arxiv.org/abs/0906.0097 , 265kb) ------------------------------------------------------------------------------ \\ arXiv:1007.1387 (*cross-listing*) replaced with revised version Wed, 27 Apr 2011 08:08:37 GMT (6kb) Title: Maximal Entanglement of Two-qubit States Constructed by Linearly Independent Coherent States Authors: G. Najarbashi and Y. Maleki Categories: quant-ph math-ph math.MP Comments: some examples added; Int J Theor Phys 2011 DOI: 10.1007/s10773-011-0755-5 \\ ( http://arxiv.org/abs/1007.1387 , 6kb) ------------------------------------------------------------------------------ \\ arXiv:1007.1467 replaced with revised version Wed, 27 Apr 2011 05:13:54 GMT (62kb) Title: Partition zeta functions, multifractal spectra, and tapestries of complex dimensions Authors: Kate E. Ellis, Michel L. Lapidus, Michael C. Mackenzie, and John A. Rock Categories: math-ph math.DS math.MP math.NT Comments: 54 pages, 12 figures, to appear in the Mandelbrot Memorial Volume "Benoit Mandelbrot: A Life in Many Dimensions", World Scientific, Singapore, 2011 MSC-class: Primary: 11M41, 28A12, 28A80. Secondary: 28A75, 28A78, 28C15 \\ ( http://arxiv.org/abs/1007.1467 , 62kb) ------------------------------------------------------------------------------ \\ arXiv:1012.3454 (*cross-listing*) replaced with revised version Wed, 27 Apr 2011 00:42:14 GMT (295kb) Title: String hypothesis for gl(n|m) spin chains: a particle/hole democracy Authors: Dmytro Volin Categories: hep-th cond-mat.other math-ph math.MP Comments: 38 pages; v2: references added \\ ( http://arxiv.org/abs/1012.3454 , 295kb) ------------------------------------------------------------------------------ \\ arXiv:1101.3007 (*cross-listing*) replaced with revised version Wed, 27 Apr 2011 17:26:09 GMT (1994kb,D) Title: A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests Authors: Knut Waagan, Christoph Federrath, Christian Klingenberg Categories: astro-ph.IM astro-ph.SR math-ph math.MP physics.comp-ph physics.flu-dyn Comments: 26 pages, 17 figures, Journal of Computational Physics, published Journal-ref: Journal of Computational Physics 230 (2011) 3331-3351 DOI: 10.1016/j.jcp.2011.01.026 \\ ( http://arxiv.org/abs/1101.3007 , 1994kb) ------------------------------------------------------------------------------ \\ arXiv:1102.3040 replaced with revised version Wed, 27 Apr 2011 09:47:29 GMT (20kb) Title: Telescopic Relative Entropy Authors: Koenraad M.R. Audenaert Categories: math-ph math.MP quant-ph Comments: 15 pages, 4 figures; to be presented at TQC2011, Madrid, May 2011. V2: New proof of Theorem 4. Section added on telescoping the relative Renyi entropy, with a new and simpler proof of the main inequality first proven in quant-ph/0610027 concerning the quantum Chernoff bound Report-no: Mittag-Leffler-2010fall \\ ( http://arxiv.org/abs/1102.3040 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1102.3041 replaced with revised version Wed, 27 Apr 2011 09:58:40 GMT (9kb) Title: Telescopic Relative Entropy--II Triangle inequalities Authors: Koenraad M.R. Audenaert Categories: math-ph math.MP quant-ph Comments: 14 pages; V2: minor typographic changes Report-no: Mittag-Leffler-2010fall \\ ( http://arxiv.org/abs/1102.3041 , 9kb) ------------------------------------------------------------------------------ \\ arXiv:1104.2305 replaced with revised version Wed, 27 Apr 2011 12:34:52 GMT (19kb) Title: Quasi-exactly solvable quartic: elementary integrals and asymptotics Authors: Alexandre Eremenko and Andrei Gabrielov Categories: math-ph math.CA math.MP Comments: 20 pages, 1 figure. Added Introduction and several references, corrected misprints MSC-class: 81Q05, 34M60, 34A05 \\ ( http://arxiv.org/abs/1104.2305 , 19kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For subscribe options to combined physics archives, e-mail To: physics@arXiv.org, Subject: subscribe ----------------------------------------------------------------------------- For help on viewing and making submissions, see http://arXiv.org/help/ For a list of archive mirror sites, see http://arXiv.org/servers.html ----------------------------------------------------------------------------- Third-party submissions cause excessive problems. Author self-submissions are exceedingly preferred. E-mail submissions have been discontinued in favor of better support for Web submissions. See http://arXiv.org/help/uploads