Date: Thu, 29 May 14 00:15:57 GMT Subject: math-ph daily 3 new + 6 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 27 May 14 20:00:00 GMT to Wed 28 May 14 20:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1405.7114 Date: Wed, 28 May 2014 04:25:30 GMT (20kb) Title: On justification of Sobolev's formula for diffraction by wedge Authors: A.I.Komech, A.E. Merzon and J.E. De la Paz Mendez Categories: math-ph math.MP \\ We consider the scattering of an arbitary incident plane wave which is a tempered distribution by a two-dimensional wedge. \\ ( http://arxiv.org/abs/1405.7114 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1405.7150 Date: Wed, 28 May 2014 08:14:07 GMT (4kb) Title: Polymer Measure: Varadhan's Renormalization Revisited Authors: Wolfgang Bock, Maria Jo\~ao Oliveira, Jos\'e Luis da Silva, Ludwig Streit Categories: math-ph math.MP Comments: 5 pages MSC-class: 28C20, 41A25, 60H40, 60J55, 60J65, 82D60 \\ Through chaos decomposition we improve the Varadhan estimate for the rate of convergence of the centered approximate self-intersection local time of planar Brownian motion. \\ ( http://arxiv.org/abs/1405.7150 , 4kb) ------------------------------------------------------------------------------ \\ arXiv:1405.7239 Date: Wed, 28 May 2014 13:51:54 GMT (24kb) Title: On Spinors of Zero Nullity Authors: Marco Budinich Categories: math-ph hep-th math.MP Comments: 18 pages, 11 references \\ We present a necessary and sufficient condition for a spinor $\omega$ to be of nullity zero, i.e. such that for any null vector $v$, $v \omega \ne 0$. This dives deeply in the subtle relations between a spinor $\omega$ and $\omega_c$, the (complex) conjugate of $\omega$ belonging to the same spinor space. \\ ( http://arxiv.org/abs/1405.7239 , 24kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1405.7139 (*cross-listing*) Date: Wed, 28 May 2014 07:10:51 GMT (29kb,D) Title: A Model for Orbifolds in Noncommutative Geometry Authors: Antti J. Harju Categories: math.DG math-ph math.MP math.OA \\ An orbifold is a Morita equivalence class of a proper {\' e}tale Lie groupoid. Motivated by the structures of differential calculus on orbifolds we develop a spectral geometric model for singular spaces. In this formalism, a geometric space is described by a groupoid spectral triple and we show that compact spin orbifolds give rise to unitary equivalence classes of groupoid spectral triples. A universal differential calculus is developed. \\ ( http://arxiv.org/abs/1405.7139 , 29kb) ------------------------------------------------------------------------------ \\ arXiv:1405.7157 (*cross-listing*) Date: Wed, 28 May 2014 08:40:36 GMT (10226kb,D) Title: Magnetic WKB Constructions Authors: Virginie Bonnaillie-No\"el (IRMAR), Nicolas Raymond (IRMAR), Fr\'ed\'eric H\'erau (LMJL) Categories: math.AP math-ph math.MP \\ This paper is devoted to the semiclassical magnetic Laplacian. Until now WKB expansions for the eigenfunctions were only established in presence of a non-zero electric potential. Here we tackle the pure magnetic case. Thanks to Feynman-Hellmann type formulas and coherent states decomposition, we develop here a magnetic Born-Oppenheimer theory. Exploiting the multiple scales of the problem, we are led to solve an effective eikonal equation in pure magnetic cases and to obtain WKB expansions. We also investigate explicit examples for which we can improve our general theorem: global WKB expansions, quasi-optimal estimates of Agmon and upper bound of the tunelling effect (in symmetric cases). We also apply our strategy to get more accurate descriptions of the eigenvalues and eigenfunctions in a wide range of situations analyzed in the last two decades. \\ ( http://arxiv.org/abs/1405.7157 , 10226kb) ------------------------------------------------------------------------------ \\ arXiv:1405.7171 (*cross-listing*) Date: Wed, 28 May 2014 09:20:34 GMT (11kb) Title: The Aharonov-Bohm effect in scattering of nonrelativistic electrons by a penetrable magnetic vortex Authors: Yurii A. Sitenko Categories: quant-ph hep-th math-ph math.MP physics.ins-det Comments: 14 pages \\ Quantum-mechanical theory for scattering of nonrelativistic charged particles with spin by a penetrable magnetic vortex is elaborated. The scattering differential cross section is shown to consist of two terms, one describing diffraction on the vortex in the forward direction and another one describing penetration through the vortex. The Aharonov-Bohm effect is manifested as a fringe shift in the diffraction pattern. The penetration effect is analyzed for the case of the uniform distribution of the magnetic field strength inside the vortex. We find that the penetrability of the magnetic vortex does not affect the diffraction pattern, and, hence, the Aharonov-Bohm effect is the same for a penetrable vortex as for an impenetrable one. \\ ( http://arxiv.org/abs/1405.7171 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:1405.7278 (*cross-listing*) Date: Tue, 27 May 2014 18:43:48 GMT (5kb) Title: Complete Integrability Of The Fifth-Order Mikhailov-Novikov-Wang system Authors: Daryoush Talati Categories: nlin.SI math-ph math.AP math.DS math.MP Comments: 4 Pages \\ The symplectic-Hamiltonian formulation and recursion operator of the fifth-order Mikhailov-Novikov-Wang system are given. \\ ( http://arxiv.org/abs/1405.7278 , 5kb) ------------------------------------------------------------------------------ \\ arXiv:1405.7284 (*cross-listing*) Date: Wed, 28 May 2014 15:59:55 GMT (18kb) Title: A consistency test of the model-building strategy using PT-symmetric regularizations Authors: Francisco M. Fern\'andez, Javier Garcia, Iveta Semor\'adov\'a and Miloslav Znojil Categories: quant-ph math-ph math.MP Comments: 17 pages, 1 figure \\ One of the most productive applications of the recent extension of applicability of unitary quantum theory to operators $H=-d^2/dx^2+V(x) \neq H^\dagger$ (where, typically, the spectrum is real but where the coordinate is not observable anymore, $x \in \mathbb{C}$) has been found in the innovative constructions of bound states even in singular potentials, say, of the form $V(x)=(ix)^{const}\,x^2 + g^2/[(ix)^{const'}x^2]$ where $x \notin \mathbb{R}$. Two standard (viz., perturbation and Riccatti-Pad\'{e}) construction techniques are shown applicable to such a class of models yielding the mutually compatible numerical results. \\ ( http://arxiv.org/abs/1405.7284 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:1405.7304 (*cross-listing*) Date: Wed, 28 May 2014 17:03:30 GMT (18kb) Title: On Conformal Powers of the Dirac Operator on Einstein Manifolds Authors: Matthias Fischmann, Christian Krattenthaler and Petr Somberg Categories: math.DG math-ph math.AP math.CO math.MP Comments: Conformal and semi-Riemannian {\it Spin}-geometry, conformal powers of the Dirac operator, Einstein manifolds, higher variations of the Dirac operator, Hahn polynomials MSC-class: 53C27, 34L40, 53A30, 33C20 \\ We determine the structure of conformal powers of the Dirac operator on Einstein {\it Spin}-manifolds in terms of the product formula for shifted Dirac operators. The result is based on the techniques of higher variations for the Dirac operator on Einstein manifolds and spectral analysis of the Dirac operator on the associated Poincar\'e-Einstein metric, and relies on combinatorial recurrence identities related to the dual Hahn polynomials. \\ ( http://arxiv.org/abs/1405.7304 , 18kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:1211.6761 (*cross-listing*) replaced with revised version Wed, 28 May 2014 07:16:17 GMT (26kb) Title: Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class II: Topological and equivariant models Authors: Antti J. Harju Categories: math.KT math-ph math.MP Comments: Final Version - JGP MSC-class: 19L50, 53C08, 22A22 \\ ( http://arxiv.org/abs/1211.6761 , 26kb) ------------------------------------------------------------------------------ \\ arXiv:1309.1472 (*cross-listing*) replaced with revised version Wed, 28 May 2014 08:38:14 GMT (3689kb,D) Title: Quantum discord determines the interferometric power of quantum states Authors: Davide Girolami, Alexandre M. Souza, Vittorio Giovannetti, Tommaso Tufarelli, Jefferson G. Filgueiras, Roberto S. Sarthour, Diogo O. Soares-Pinto, Ivan S. Oliveira, Gerardo Adesso Categories: quant-ph cond-mat.stat-mech math-ph math.MP nucl-ex physics.data-an Comments: 6+8 pages, 3+5 figures, 1 table. Close to published version Journal-ref: Phys. Rev. Lett. 112, 210401 (2014) DOI: 10.1103/PhysRevLett.112.210401 \\ ( http://arxiv.org/abs/1309.1472 , 3689kb) ------------------------------------------------------------------------------ \\ arXiv:1310.2250 (*cross-listing*) replaced with revised version Wed, 28 May 2014 08:04:15 GMT (20kb) Title: Global gravitational anomaly cancellation for five-branes Authors: Samuel Monnier Categories: hep-th math-ph math.MP Comments: 22 pages. Modifications in the appendix, in particular in the description of the cobordism obstruction. Results unchanged MSC-class: 81T50 81T30 83E30 \\ ( http://arxiv.org/abs/1310.2250 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1311.5667 (*cross-listing*) replaced with revised version Wed, 28 May 2014 05:41:35 GMT (17kb) Title: A law of order estimation and leading-order terms for a family of averaged quantities on a multibaker chain system Authors: Hideshi Ishida Categories: cond-mat.stat-mech math-ph math.MP Comments: 24 pages \\ ( http://arxiv.org/abs/1311.5667 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1401.5412 (*cross-listing*) replaced with revised version Wed, 28 May 2014 17:46:15 GMT (25kb) Title: Optimal linear Glauber model Authors: Shaon Sahoo and Soumya Kanti Ganguly Categories: cond-mat.stat-mech math-ph math.MP Comments: 24 pages; abstract, introduction, conclusion rewritten; discussion on FDT added; a mistake corrected \\ ( http://arxiv.org/abs/1401.5412 , 25kb) ------------------------------------------------------------------------------ \\ arXiv:1401.5516 (*cross-listing*) replaced with revised version Wed, 28 May 2014 18:27:19 GMT (24kb) Title: KAM theory and the 3D Euler equation Authors: Boris Khesin, Sergei Kuksin and Daniel Peralta-Salas Categories: math.DS math-ph math.AP math.MP Comments: 28 pages \\ ( http://arxiv.org/abs/1401.5516 , 24kb) ------------------------------------------------------------------------------ \\ arXiv:1402.2988 (*cross-listing*) replaced with revised version Wed, 28 May 2014 12:31:26 GMT (51kb) Title: Superdiffusion of energy in a chain of harmonic oscillators with noise Authors: Milton Jara, Tomasz Komorowski, Stefano Olla Categories: cond-mat.stat-mech math-ph math.MP Comments: New version containing non-stationary behavior, equivalence of energy functionals, diffusion of phonon modes \\ ( http://arxiv.org/abs/1402.2988 , 51kb) ------------------------------------------------------------------------------ \\ arXiv:1402.5512 (*cross-listing*) replaced with revised version Wed, 28 May 2014 16:10:31 GMT (582kb) Title: Grassmannian representation of the two-dimensional monomer-dimer model Authors: Nicolas Allegra and Jean-Yves Fortin Categories: cond-mat.stat-mech hep-th math-ph math.MP Comments: 7 pages. Accepted for publication in Physical Review E \\ ( http://arxiv.org/abs/1402.5512 , 582kb) ------------------------------------------------------------------------------ \\ arXiv:1403.7431 (*cross-listing*) replaced with revised version Wed, 28 May 2014 15:36:59 GMT (22kb) Title: Validity of the GGE for quantum quenches from interacting to noninteracting models Authors: Spyros Sotiriadis, Pasquale Calabrese Categories: cond-mat.stat-mech hep-th math-ph math.MP Comments: 16 pages \\ ( http://arxiv.org/abs/1403.7431 , 22kb) ------------------------------------------------------------------------------ \\ arXiv:1403.7848 replaced with revised version Wed, 28 May 2014 04:57:53 GMT (7kb) Title: On the analytical formulas for three three-particle integrals with spherical Bessel and Neumann functions Authors: Alexei M. Frolov Categories: math-ph math.MP quant-ph \\ ( http://arxiv.org/abs/1403.7848 , 7kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- 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