Date: Wed, 30 Nov 11 01:12:09 GMT Subject: math-ph daily 6 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 Mon 28 Nov 11 21:00:00 GMT to Tue 29 Nov 11 21:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1111.6630 Date: Mon, 28 Nov 2011 21:57:58 GMT (173kb,D) Title: The Quantum Walk of F. Riesz Authors: F. A. Grunbaum, L. Velazquez Categories: math-ph math.MP quant-ph \\ We exhibit a way to associate a quantum walk (QW) on the non-negative integers to any probability measure on the unit circle. This forces us to consider one step transitions that are not traditionally allowed. We illustrate this in the case of a very interesting measure, originally proposed by F. Riesz for a different purpose. \\ ( http://arxiv.org/abs/1111.6630 , 173kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6656 Date: Tue, 29 Nov 2011 00:44:25 GMT (4kb) Title: A note on the FKPP equation approached with the hyperbolic scaling Authors: M. A. Reyes, H. C. Rosu Categories: math-ph math.MP Comments: 4 pages, no figures \\ We consider the hyperbolic scaling of the FKPP equation and introduce two solutions of the action functional type in the limit of zero hyperbolic parameter. Furthermore, we show that the action functional of the Ablowitz-Zepetella kink is a special case of one of those solutions \\ ( http://arxiv.org/abs/1111.6656 , 4kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6683 Date: Tue, 29 Nov 2011 04:02:55 GMT (25kb,D) Title: Multiple integral representation for the trigonometric SOS model with domain wall boundaries Authors: W. Galleas Categories: math-ph cond-mat.stat-mech hep-th math.MP Comments: 28 pages \\ Using the dynamical Yang-Baxter algebra we derive a functional equation for the partition function of the trigonometric SOS model with domain wall boundary conditions. The solution of the equation is given in terms of a multiple contour integral. \\ ( http://arxiv.org/abs/1111.6683 , 25kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6788 Date: Tue, 29 Nov 2011 12:23:32 GMT (20kb) Title: Zero Energy Bound States and Resonances in Three--Particle Systems Authors: Dmitry K. Gridnev Categories: math-ph math.MP Comments: This paper is a revised combined version of arXiv:0912.0414v2 and arXiv:0912.0418v2 preprints \\ We consider a three-particle system in $\mathbb{R}^3$ with non-positive pair-potentials and non-negative essential spectrum. Under certain restrictions on potentials it is proved that the eigenvalues are absorbed at zero energy threshold given that there is no negative energy bound states and zero energy resonances in particle pairs. It is shown that the condition on the absence of zero energy resonances in particle pairs is essential. Namely, we prove that if at least one pair of particles has a zero energy resonance then a square integrable zero energy ground state of three particles does not exist. It is also proved that one can tune the coupling constants of pair potentials so that for any given $R, \epsilon >0$: (a) the bottom of the essential spectrum is at zero; (b) there is a negative energy ground state $\psi(\xi)$ such that $\int |\psi(\xi)|^2 d^6 \xi= 1$ and $\int_{|\xi| \leq R} |\psi(\xi)|^2 d^6 \xi < \epsilon$. \\ ( http://arxiv.org/abs/1111.6788 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6875 Date: Tue, 29 Nov 2011 16:26:08 GMT (8kb) Title: Processes with a Local Deterministic Interaction: Invariant Bernoulli Measures Authors: V. A. Malyshev, A. A. Zamyatin Categories: math-ph math.MP math.PR MSC-class: 82C22 Journal-ref: Markov Processes and Related Fields, 2009, v. 15, pp. 1-8 \\ A general class of Markov processes with a local interaction is introduced, which includes exclusion and Kawasaki processes as a very particular case. Bernoulli invariant measures are found for this class of processes. \\ ( http://arxiv.org/abs/1111.6875 , 8kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6913 Date: Tue, 29 Nov 2011 17:41:49 GMT (17kb) Title: Coherent states for continuous spectrum operators with non-normalizable fiducial states Authors: Joseph Ben Geloun, Jeff Hnybida and John R. Klauder Categories: math-ph math.MP quant-ph Comments: 16 pages Report-no: pi-other-246; ICMPA-MPA/2011/009 \\ The problem of building coherent states from non-normalizable fiducial states is considered. We propose a way of constructing such coherent states by regularizing the divergence of the fiducial state norm. Then, we successfully apply the formalism to particular cases involving systems with a continuous spectrum: coherent states for the free particle and for the inverted oscillator $(p^2 - x^2)$ are explicitly provided. Similar ideas can be used for other systems having non-normalizable fiducial states. \\ ( http://arxiv.org/abs/1111.6913 , 17kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1111.6618 (*cross-listing*) Date: Mon, 28 Nov 2011 21:34:28 GMT (26kb) Title: Exit time tails from pairwise decorrelation in hidden Markov chains, with applications to dynamical percolation Authors: Alan Hammond and Elchanan Mossel and G\'abor Pete Categories: math.PR math-ph math.MP Comments: 19 pages \\ Consider a Markov process \omega_t at equilibrium and some event C (a subset of the state-space of the process). A natural measure of correlations in the process is the pairwise correlation \Pr[\omega_0,\omega_t \in C] - \Pr[\omega_0 \in C]^2. A second natural measure is the probability of the continual occurrence event \{\omega_s \in C, \forall s\in [0,t]\}. We show that for reversible Markov chains, and any event C, pairwise decorrelation of the event C implies a decay of the probability of the continual occurrence event \{\omega_s \in C, \forall s \in [0,t]\} as t\to\infty. We provide examples showing that our results are often sharp. Our main applications are to dynamical critical percolation. Let C be the left-right crossing event of a large box, and let us scale time so that the expected number of changes to C is order 1 in unit time. We show that the continual connection event has superpolynomial decay. Furthermore, on the infinite lattice without any time scaling, the first exceptional time with an infinite cluster appears with an exponential tail. \\ ( http://arxiv.org/abs/1111.6618 , 26kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6625 (*cross-listing*) Date: Mon, 28 Nov 2011 21:48:14 GMT (17kb) Title: An elementary proof of the vanishing of the second cohomology of the Witt and Virasoro algebra with values in the adjoint module Authors: Martin Schlichenmaier Categories: math.RA math-ph math.MP math.QA math.RT Comments: 15 pages MSC-class: 17B56 (Primary) 17B68, 17B65, 17B66, 14D15, 81R10, 81T40 (Secondary) \\ By elementary and direct calculations the vanishing of the (algebraic) second Lie algebra cohomology of the Witt and the Virasoro algebra with values in the adjoint module is shown. This yields infinitesimal and formal rigidity or these algebras. The first (and up to now only) proof of this important result was given 1989 by Fialowski in an unpublished note. It is based on cumbersome calculations. Compared to the original proof the presented one is quite elegant and considerably simpler. \\ ( http://arxiv.org/abs/1111.6625 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6671 (*cross-listing*) Date: Tue, 29 Nov 2011 02:37:43 GMT (30kb) Title: The dynamics of the 3D radial NLS with the combined terms Authors: Changxing Miao, Guixiang Xu and Lifeng Zhao Categories: math.AP math-ph math.MP Comments: 46pages \\ In this paper, we show the scattering and blow-up result of the radial solution with the energy below the threshold for the nonlinear Schr\"{o}dinger equation (NLS) with the combined terms iu_t + \Delta u = -|u|^4u + |u|^2u \tag{CNLS} in the energy space $H^1(\R^3)$. The threshold is given by the ground state $W$ for the energy-critical NLS: $iu_t + \Delta u = -|u|^4u$. This problem was proposed by Tao, Visan and Zhang in \cite{TaoVZ:NLS:combined}. The main difficulty is the lack of the scaling invariance. Illuminated by \cite{IbrMN:f:NLKG}, we need give the new radial profile decomposition with the scaling parameter, then apply it into the scattering theory. Our result shows that the defocusing, $\dot H^1$-subcritical perturbation $|u|^2u$ does not affect the determination of the threshold of the scattering solution of (CNLS) in the energy space. \\ ( http://arxiv.org/abs/1111.6671 , 30kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6856 (*cross-listing*) Date: Tue, 29 Nov 2011 15:33:36 GMT (33kb) Title: Wick rotation for quantum field theories on degenerate Moyal space(-time) Authors: Harald Grosse, Gandalf Lechner, Thomas Ludwig, Rainer Verch Categories: hep-th math-ph math.MP math.OA math.QA Comments: 29 pages \\ In this paper the connection between quantum field theories on flat noncommutative space(-times) in Euclidean and Lorentzian signature is studied for the case that time is still commutative. By making use of the algebraic framework of quantum field theory and an analytic continuation of the symmetry groups which are compatible with the structure of Moyal space, a general correspondence between field theories on Euclidean space satisfying a time zero condition and quantum field theories on Moyal Minkowski space is presented ("Wick rotation"). It is then shown that field theories transferred to Moyal space(-time) by Rieffel deformation and warped convolution fit into this framework, and that the processes of Wick rotation and deformation commute. \\ ( http://arxiv.org/abs/1111.6856 , 33kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6868 (*cross-listing*) Date: Tue, 29 Nov 2011 16:03:21 GMT (9kb) Title: On Decay of Correlations for Exclusion Processes with Asymmetric Boundary Conditions Authors: V. A. Malyshev, V. A. Shvets Categories: math.PR math-ph math.MP MSC-class: 82C41 Journal-ref: Problems of Information Transmission, 2009, v. 45, No. 1, pp.65-73 \\ We consider a symmetric exclusion process on a discrete interval of $S$ points with various boundary conditions at the endpoints. We study the asymptotic decay of correlations as $S\to\infty$. The main result is asymptotic independence of a stationary distribution whem the points are far away from each other. We develop a new recurrent probabilistic approach which is an alternative to Derrida's algebraic technique. \\ ( http://arxiv.org/abs/1111.6868 , 9kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6879 (*cross-listing*) Date: Tue, 29 Nov 2011 16:31:56 GMT (9kb) Title: Total destruction of invariant tori for the generalized Frenkel-Kontorova model Authors: Xifeng Su and Lin Wang Categories: math.DS math-ph math.MP \\ We consider generalized Frenkel-Kontorova models on higher dimensional lattices. We show that the invariant tori which are parameterized by continuous hull functions can be destroyed by small perturbations in the $C^r$ topology with $r<1$. \\ ( http://arxiv.org/abs/1111.6879 , 9kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6910 (*cross-listing*) Date: Tue, 29 Nov 2011 17:30:02 GMT (19kb) Title: Umbilical-Type Surfaces in Spacetime Authors: Jos\'e M. M. Senovilla Categories: math.DG gr-qc math-ph math.MP Comments: 19 pages, no figures. Contribution submitted to the Proceedings of the IV International Meeting on Lorentzian Geometry (GELOGRA, Granada 2011) MSC-class: 53A35, 53B30, 53B25 \\ A spacelike surface S imbedded in a 4-dimensional Lorentzian manifold will be said to be umbilical along a direction N normal to S if the second fundamental form along N is proportional to the first fundamental form of S. In particular, S is pseudo-umbilical if it is umbilical along the mean curvature vector field H, and (totally) umbilical if it is umbilical along all possible normal directions. The possibility that the surface be umbilical along the unique normal direction orthogonal to H --- "ortho-umbilical" surface--- is also considered. I prove that the necessary and sufficient condition for S to be umbilical along a normal direction is that two independent Weingarten operators (and, a fortiori, all of them) commute, or equivalently that the shape tensor be diagonalizable on S. The umbilical direction is then uniquely determined. This can be seen to be equivalent to a condition relating the normal curvature and the appropriate part of the Riemann tensor of the spacetime. In particular, for conformally flat spacetimes (including Lorentz space forms) the necessary and sufficient condition is that the normal curvature vanishes. Some further consequences are analyzed, and the extension of the main results to arbitrary signatures and higher dimensions is briefly discussed. \\ ( http://arxiv.org/abs/1111.6910 , 19kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:gr-qc/0212059 (*cross-listing*) replaced with revised version Tue, 29 Nov 2011 11:18:32 GMT (5kb) Title: On Schwarzschild's Topology in Brane-Worlds Authors: Edmundo M. Monte (U.F.Paraiba) and M.D.Maia (U.Brasilia) Categories: gr-qc math-ph math.MP Comments: 6 pages Journal-ref: Int.J.Mod.Phys.A17:4355-4358,2002 DOI: 10.1142/S0217751X02013411 \\ ( http://arxiv.org/abs/gr-qc/0212059 , 5kb) ------------------------------------------------------------------------------ \\ arXiv:1101.2809 (*cross-listing*) replaced with revised version Mon, 28 Nov 2011 21:09:57 GMT (16kb) Title: Tensor gauge condition and tensor field decomposition Authors: Xiang-Song Chen and Ben-Chao Zhu Categories: gr-qc hep-th math-ph math.MP Comments: significant revision with extended discussion \\ ( http://arxiv.org/abs/1101.2809 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1103.3140 (*cross-listing*) replaced with revised version Tue, 29 Nov 2011 10:17:10 GMT (27kb) Title: On Singularity formation for the L^2-critical Boson star equation Authors: Enno Lenzmann and Mathieu Lewin Categories: math.AP math-ph math.MP Comments: 24 pages. Accepted in Nonlinearity Journal-ref: Nonlinearity 24 (2011) 3515-3540 DOI: 10.1088/0951-7715/24/12/009 \\ ( http://arxiv.org/abs/1103.3140 , 27kb) ------------------------------------------------------------------------------ \\ arXiv:1106.2950 replaced with revised version Tue, 29 Nov 2011 06:00:05 GMT (162kb) Title: Routh Reduction by Stages Authors: Bavo Langerock, Tom Mestdag and Joris Vankerschaver Categories: math-ph math.DS math.MP Journal-ref: SIGMA 7 (2011), 109, 31 pages DOI: 10.3842/SIGMA.2011.109 \\ ( http://arxiv.org/abs/1106.2950 , 162kb) ------------------------------------------------------------------------------ \\ arXiv:1107.4126 replaced with revised version Tue, 29 Nov 2011 19:01:56 GMT (20kb) Title: On the Quasi-Linear Elliptic PDE $-\nabla\cdot(\nabla{u}/\sqrt{1-|\nabla{u}|^2}) = 4\pi\sum_k a_k \delta_{s_k}$ in Physics and Geometry Authors: Michael K.-H. Kiessling Categories: math-ph gr-qc math.AP math.MP Comments: 18 pages; referee's comments incorporated in this revised version; accepted for publication in Commun. Math. Phys \\ ( http://arxiv.org/abs/1107.4126 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1107.4971 (*cross-listing*) replaced with revised version Tue, 29 Nov 2011 10:06:00 GMT (13kb) Title: Consistency of the adiabatic theorem and perturbation theory Authors: Marco Frasca Categories: quant-ph math-ph math.MP Comments: 15 pages, no figures. Some corrections added and partly revised \\ ( http://arxiv.org/abs/1107.4971 , 13kb) ------------------------------------------------------------------------------ \\ arXiv:1108.3679 replaced with revised version Tue, 29 Nov 2011 05:51:32 GMT (18kb) Title: Fundamental Solution of Laplace's Equation in Hyperspherical Geometry Authors: Howard S. Cohl Categories: math-ph math.AP math.CA math.MP MSC-class: 35A08, 35J05, 32Q10, 31C12, 33C05 Journal-ref: SIGMA 7 (2011), 108, 14 pages DOI: 10.3842/SIGMA.2011.108 \\ ( http://arxiv.org/abs/1108.3679 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:1108.5987 replaced with revised version Tue, 29 Nov 2011 14:28:06 GMT (12kb) Title: Ellipticity in the interior transmission problem in anisotropic media Authors: Evgeny Lakshtanov, Boris Vainberg Categories: math-ph math.AP math.MP math.SP Comments: Small corrections \\ ( http://arxiv.org/abs/1108.5987 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1109.0872 (*cross-listing*) replaced with revised version Tue, 29 Nov 2011 09:30:22 GMT (16kb) Title: Classical integrability of Schrodinger sigma models and q-deformed Poincare symmetry Authors: Io Kawaguchi and Kentaroh Yoshida Categories: hep-th math-ph math.MP Comments: 20 pages, no figure, further clarification and references added Report-no: KUNS-2363 \\ ( http://arxiv.org/abs/1109.0872 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1109.5109 replaced with revised version Tue, 29 Nov 2011 17:31:53 GMT (21kb) Title: Surprising Pfaffian factorizations in Random Matrix Theory with Dyson index $\beta=2$ Authors: Mario Kieburg Categories: math-ph hep-lat hep-th math.MP Comments: 14 pages; PACS: 02.10.Yn, 02.50.-r, 05.90.+m, 12.38.-t MSC-class: 15B52, 33C45, 42C05, 60B20 \\ ( http://arxiv.org/abs/1109.5109 , 21kb) ------------------------------------------------------------------------------ \\ arXiv:1111.0400 (*cross-listing*) replaced with revised version Tue, 29 Nov 2011 19:15:31 GMT (885kb,D) Title: On Lorentzian causality with continuous metrics Authors: Piotr T. Chru\'sciel and James D. E. Grant Categories: gr-qc math-ph math.DG math.MP Comments: 36 pages, 15 figures. Minor corrections, a proof made more explicit. One of the main results strengthened to show that Lipschitz continuous metrics do not bubble Report-no: Preprint UWThPh-2011-33 \\ ( http://arxiv.org/abs/1111.0400 , 885kb) ------------------------------------------------------------------------------ \\ arXiv:1111.2585 (*cross-listing*) replaced with revised version Tue, 29 Nov 2011 19:05:14 GMT (260kb,D) Title: Conformal Field Theories in Six-Dimensional Twistor Space Authors: L. J. Mason, R. A. Reid-Edwards and A. Taghavi-Chabert Categories: hep-th math-ph math.DG math.MP Comments: 37 pages, 3 figures, in v2 a number of inaccuracies are removed and the discussion is improved \\ ( http://arxiv.org/abs/1111.2585 , 260kb) ------------------------------------------------------------------------------ \\ arXiv:1111.4239 replaced with revised version Tue, 29 Nov 2011 20:48:07 GMT (584kb) Title: The limiting distribution of the maximal height of the outermost path of nonintersecting Brownian excursions and discrete Gaussian orthogonal polynomials Authors: Karl Liechty Categories: math-ph math.MP math.PR Comments: 36 pages, 3 figures; added references, corrected various typos, comment on further applications added to end of introduction MSC-class: 60 \\ ( http://arxiv.org/abs/1111.4239 , 584kb) ------------------------------------------------------------------------------ \\ arXiv:1111.4376 (*cross-listing*) replaced with revised version Tue, 29 Nov 2011 15:29:44 GMT (26kb) Title: Level density distribution for one-dimensional vertex models related to Haldane-Shastry like spin chains Authors: Pratyay Banerjee and B. Basu-Mallick Categories: cond-mat.stat-mech hep-th math-ph math.MP nlin.SI Comments: 22 pages, 2 figures, corrected minor typos, added one reference \\ ( http://arxiv.org/abs/1111.4376 , 26kb) ------------------------------------------------------------------------------ \\ arXiv:1111.5516 (*cross-listing*) replaced with revised version Tue, 29 Nov 2011 10:32:45 GMT (50kb) Title: On representations of Higher Spin symmetry algebras for mixed-symmetry HS fields on AdS-spaces. Lagrangian formulation Authors: Cestmir Burdik and Alexander Reshetnyak Categories: hep-th math-ph math.MP math.OA math.RA math.RT Comments: Proceedings of 7th International Conference "Quantum Theory and Symmetries 7" (August 7-13, 2011; CVUT Prague, Czech Republic), 28 pages, v2: references and acknowledgements added, misprints corrected MSC-class: 17A45, 17A70, 17B35, 16D80, 16S37 \\ ( http://arxiv.org/abs/1111.5516 , 50kb) ------------------------------------------------------------------------------ \\ arXiv:1111.5565 replaced with revised version Tue, 29 Nov 2011 17:58:48 GMT (53kb) Title: Discrete Determinants and the Gel'fand-Yaglom formula Authors: J. S. Dowker Categories: math-ph hep-th math.MP Comments: 29 pages. Two appendices added on Chebyshev polynomials and on a trace formula for the Gel'fand-Yaglom function applied to a general potential \\ ( http://arxiv.org/abs/1111.5565 , 53kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6266 (*cross-listing*) replaced with revised version Tue, 29 Nov 2011 14:42:37 GMT (26kb) Title: Extending the D'Alembert Solution to Space-Time Modified Riemann-Liouville Fractional Wave Equations Authors: Cresus F. L. Godinho, J. Weberszpil and J. A. Helay\"el-Neto Categories: hep-th math-ph math.MP nlin.PS Comments: 8 pages MSC-class: 12F05 \\ ( http://arxiv.org/abs/1111.6266 , 26kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6356 (*cross-listing*) replaced with revised version Tue, 29 Nov 2011 11:33:33 GMT (376kb) Title: Electromagnetic vacuum energy for two parallel slabs in terms of surface, wave guide and photonic modes Authors: M. Bordag Categories: quant-ph math-ph math.MP physics.plasm-ph Comments: 38 pages, 6 figures, misprint in abtract corrected \\ ( http://arxiv.org/abs/1111.6356 , 376kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6501 (*cross-listing*) replaced with revised version Tue, 29 Nov 2011 18:11:13 GMT (12kb) Title: Solutions of the Dirac equation with spin and pseudospin symmetry for trigonometric Scarf potential in D-dimensions Authors: B. J. Falaye, K. J. Oyewumi Categories: quant-ph math-ph math.MP nucl-th Comments: 17 Pages \\ ( http://arxiv.org/abs/1111.6501 , 12kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- 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