Date: Thu, 29 Sep 11 00:07:12 GMT Subject: math-ph daily 4 new + 8 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 Sep 11 20:00:00 GMT to Wed 28 Sep 11 20:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1109.6056 Date: Tue, 27 Sep 2011 22:38:29 GMT (111kb,D) Title: Hamilton-Jacobi Theory for Degenerate Lagrangian Systems with Holonomic and Nonholonomic Constraints Authors: Melvin Leok, Tomoki Ohsawa and Diana Sosa Categories: math-ph math.MP math.SG Comments: 26 pages, 3 figures MSC-class: 70H20 (Primary), 70H45 (Secondary), 37J60, 70F25 \\ We extend Hamilton-Jacobi theory to Lagrange-Dirac (or implicit Lagrangian) systems, a generalized formulation of Lagrangian mechanics that can incorporate degenerate Lagrangians as well as holonomic and nonholonomic constraints. We refer to the generalized Hamilton-Jacobi equation as the Dirac-Hamilton-Jacobi equation. For non-degenerate Lagrangian systems with nonholonomic constraints, the theory specializes to the recently developed nonholonomic Hamilton-Jacobi theory. We are particularly interested in applications to a certain class of degenerate nonholonomic Lagrangian systems with symmetries, which we refer to as weakly degenerate Chaplygin systems, that arise as simplified models of nonholonomic mechanical systems; these systems are shown to reduce to non-degenerate almost Hamiltonian systems, i.e., generalized Hamiltonian systems defined with non-closed two-forms. Accordingly, the Dirac-Hamilton-Jacobi equation reduces to a variant of the nonholonomic Hamilton-Jacobi equation associated with the reduced system. We illustrate through a few examples how the Dirac-Hamilton-Jacobi equation can be used to exactly integrate the equations of motion. \\ ( http://arxiv.org/abs/1109.6056 , 111kb) ------------------------------------------------------------------------------ \\ arXiv:1109.6146 Date: Wed, 28 Sep 2011 09:38:54 GMT (14kb) Title: Quantum Kepler problem for spin 1/2 particle in spaces on constant curvature. I. Pauli theory Authors: E.M. Ovsiyuk Categories: math-ph math.MP Comments: 17 pages MSC-class: 35 ACM-class: G.1 Journal-ref: Nonlinear Phenomena in Complex Systems. 2011. Vol. 14, No.1. P. 14-26 \\ Transition to a nonrelativistic Pauli equation in Riemann space of constant positive curvature for a Dirac particle in presence of the Coulomb field is performed in the system of radial equations, exact solutions are constructed in terms of Hein functions, the energy spectrum is derived. The same is done for the Kepler quantum problem in hyperbolic Lobachevsky space, solutions are constructed in terms of Hein functions, the energy spectrum is obtained. \\ ( http://arxiv.org/abs/1109.6146 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1109.6190 Date: Wed, 28 Sep 2011 12:56:32 GMT (35kb,D) Title: Quantum anomalies and Newtonian gravity on quantum spacetime Authors: Shahn Majid Categories: math-ph gr-qc hep-th math.MP math.QA Comments: 9 pages 1 figure. This material was formerly a section within arXiv:1009.2201 and has been deleted from there and from its published version MSC-class: 81R50, 81R60, 58B32, 83C45 \\ It is known that sufficiently noncommutative quantum spacetimes do not admit covariant differential calculi of classical dimensions. The bicrossproduct model $\lambda$-Minkowski (or `$\kappa$-Minkowski') quantum spacetime introduced by the author and H. Ruegg has such an anomaly for the action of the Poincare quantum group which was resolved by an extra cotangent direction $\theta'$ not visible classically. We show that gauging a coefficient of $\theta'$ introduces gravity into the model. Effects include an induced constant term in the potential energy and a weakening of gravity as the test particle mass increases. \\ ( http://arxiv.org/abs/1109.6190 , 35kb) ------------------------------------------------------------------------------ \\ arXiv:1109.6242 Date: Wed, 28 Sep 2011 15:31:52 GMT (26kb) Title: Elastic Scattering of Point Particles With Nearly Equal Masses Authors: Andreas Knauf and Markus Stepan Categories: math-ph math.MP Comments: 9 pages, 1 figure MSC-class: 37D50 \\ We show that for n billiard particles on the line there exist three open sets in the product of phase space and the space of their masses, such that these particles exhibit exactly n-1, n over 2 respectively n+1 over 3 collisions. These open sets intersect any neighborhood of the diagonal in mass space. \\ ( http://arxiv.org/abs/1109.6242 , 26kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1107.4921 (*cross-listing*) Date: Mon, 25 Jul 2011 12:31:49 GMT (21kb) Date (revised v2): Wed, 28 Sep 2011 12:48:14 GMT (21kb) Title: Loop quantum $f(R)$ theories Authors: Xiangdong Zhang and Yongge Ma Categories: gr-qc math-ph math.MP Comments: 14 pages; published version in PRD Journal-ref: Phys. Rev. D 84 (2011), 064040 \\ As modified gravity theories, the 4-dimensional metric $f(R)$ theories are cast into connection dynamical formalism with real $su(2)$-connections as configuration variables. This formalism enables us to extend the non-perturbative loop quantization scheme of general relativity to any metric $f(R)$ theories. The quantum kinematical framework of $f(R)$ gravity is rigorously constructed, where the quantum dynamics can be launched. Both Hamiltonian constraint operator and master constraint operator for $f(R)$ theories are well defined. Our results show that the non-perturbative quantization procedure of loop quantum gravity are valid not only for general relativity but also for a rather general class of 4-dimensional metric theories of gravity. \\ ( http://arxiv.org/abs/1107.4921 , 21kb) ------------------------------------------------------------------------------ \\ arXiv:1109.6063 (*cross-listing*) Date: Wed, 28 Sep 2011 00:08:35 GMT (12kb) Title: Werner state structure and entanglement classification Authors: David W. Lyons and Abigail M. Skelton and Scott N. Walck Categories: quant-ph math-ph math.MP Comments: 9 pages, 2 figures \\ We present applications of the representation theory of Lie groups to the analysis of structure and local unitary classification of Werner states, sometimes called the {\em decoherence-free} states, which are states of $n$ quantum bits left unchanged by local transformations that are the same on each particle. We introduce a multiqubit generalization of the singlet state, and a construction that assembles these into Werner states. \\ ( http://arxiv.org/abs/1109.6063 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1109.6104 (*cross-listing*) Date: Wed, 28 Sep 2011 05:31:58 GMT (188kb) Title: Mapping of Parent Hamiltonians: from Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains Authors: Martin Greiter Categories: cond-mat.str-el math-ph math.MP Comments: 207 pages, 12 figures; ISBN 978-3-642-24383-7; Springer Tract of Modern Physics, Vol 244, 2011 Report-no: Habilitationsschrift, KIT, April 2011 \\ This monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the Haldane--Shastry model as the special case S=1/2. While spinons in the Haldane--Shastry model obey abelian half-fermi statistics, the spinons in the general model introduced here obey non-abelian statistics. This manifests itself through topological choices for the fractional momentum spacings. The general model is derived by mapping exact models of quantized Hall states onto spin chains. The book begins with pedagogical review of all the relevant models including the non-abelian statistics in the Pfaffian Hall state, and is understandable to every student with a graduate course in quantum mechanics. \\ ( http://arxiv.org/abs/1109.6104 , 188kb) ------------------------------------------------------------------------------ \\ arXiv:1109.6109 (*cross-listing*) Date: Wed, 28 Sep 2011 06:40:03 GMT (29kb) Title: Background Free Quantum Gravity based on Conformal Gravity and Conformal Field Theory on M^4 Authors: Ken-ji Hamada Categories: hep-th gr-qc math-ph math.MP Comments: 42 pages \\ We study four dimensional quantum gravity formulated as a certain conformal field theory at the ultraviolet fixed point, whose dynamics is described by the combined system of Riegert-Wess-Zumino and Weyl actions. Background free nature comes out as quantum diffeomorphism symmetry by quantizing the conformal factor of the metric field non-perturbatively. In this paper, Minkowski background $M^4$ is employed in practice. The generator of quantum diffeomorphism that forms conformal algebra is constructed. Using it, we study the composite scalar operator that becomes a good conformal field. We find that physical fields are described by such scalar fields with conformal dimensions 4. Consequently, tensor fields outside the unitarity bound are excluded. Computations of quantum algebra on $M^4$ are carried out in the coordinate space using operator products of the fields. The nilpotent BRST operator is also constructed. \\ ( http://arxiv.org/abs/1109.6109 , 29kb) ------------------------------------------------------------------------------ \\ arXiv:1109.6117 (*cross-listing*) Date: Wed, 28 Sep 2011 07:57:12 GMT (14kb) Title: From Koszul duality to Poincar\'e duality Authors: Michel Dubois-Violette Categories: math.QA gr-qc hep-th math-ph math.MP math.RA Comments: Dedicated to Raymond Stora. 27 pages Report-no: LPT-ORSAY 11-78 \\ We discuss the notion of Poincar\'e duality for graded algebras and its connections with the Koszul duality for quadratic Koszul algebras. The relevance of the Poincar\'e duality is pointed out for the existence of twisted potentials associated to Koszul algebras as well as for the extraction of a good generalization of Lie algebras among the quadratic-linear algebras. \\ ( http://arxiv.org/abs/1109.6117 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1109.6189 (*cross-listing*) Date: Wed, 28 Sep 2011 12:51:13 GMT (21kb) Title: Generalized Coordinate Bethe Ansatz for open spin chains with non-diagonal boundaries Authors: E. Ragoucy Categories: hep-th math-ph math.MP Comments: Proceeding of QTS7, Prague, 2011 Report-no: LAPTH-CONF-035/11 \\ We introduce a generalization of the original Coordinate Bethe Ansatz that allows to treat the case of open spin chains with non-diagonal boundary matrices. We illustrate it on two cases: the XXX and XXZ chains. Short review on a joint work with N. Crampe (L2C) and D. Simon (LPMA), see arXiv:1009.4119, arXiv:1105.4119 and arXiv:1106.3264. \\ ( http://arxiv.org/abs/1109.6189 , 21kb) ------------------------------------------------------------------------------ \\ arXiv:1109.6261 (*cross-listing*) Date: Wed, 28 Sep 2011 16:30:25 GMT (44kb) Title: Quantum cluster algebras and fusion products Authors: Philippe Di Francesco and Rinat Kedem Categories: math.QA math-ph math.CO math.MP math.RT Comments: 43 pages MSC-class: 17B37, 13F60 \\ $Q$-systems are recursion relations satisfied by the characters of the restrictions of special finite-dimensional modules of quantum affine algebras. They can also be viewed as mutations in certain cluster algebras, which have a natural quantum deformation. In this paper, we explain the relation in the simply-laced case between the resulting quantum $Q$-systems and the graded tensor product of Feigin and Loktev. We prove the graded version of the $M=N$ identities, and write expressions for these as non-commuting evaluated multi-residues of suitable products of solutions of the quantum $Q$-system. This leads to a simple reformulation of Feigin and Loktev's fusion coefficients as matrix elements in a representation of the quantum $Q$-system algebra. \\ ( http://arxiv.org/abs/1109.6261 , 44kb) ------------------------------------------------------------------------------ \\ arXiv:1109.6295 (*cross-listing*) Date: Wed, 28 Sep 2011 18:49:49 GMT (37kb) Title: A TQFT from quantum Teichm\"uller theory Authors: J{\o}rgen Ellegaard Andersen and Rinat Kashaev Categories: math.QA hep-th math-ph math.MP Comments: 39 pages \\ By using quantum Teichm\"uller theory, we construct a one parameter family of TQFT's on the categroid of admissible leveled shaped 3-manifolds. \\ ( http://arxiv.org/abs/1109.6295 , 37kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:0909.2109 (*cross-listing*) replaced with revised version Wed, 28 Sep 2011 11:04:22 GMT (29kb) Title: An elementary derivation of the Montgomery phase formula for the Euler top Authors: Jose Natario Categories: math.DS math-ph math.DG math.MP nlin.SI Comments: 6 pages, 2 figures; v2: typos corrected MSC-class: 70E15 Journal-ref: J. Geom. Mech. 2 (2010) 113-118 \\ ( http://arxiv.org/abs/0909.2109 , 29kb) ------------------------------------------------------------------------------ \\ arXiv:1006.2373 (*cross-listing*) replaced with revised version Wed, 28 Sep 2011 13:40:00 GMT (208kb) Title: Conformal Loop Ensembles: Construction via Loop-soups Authors: Scott Sheffield, Wendelin Werner Categories: math.PR math-ph math.MP Comments: This paper has been merged with version 2 of arxiv:1006.2374. The merged longer paper is posted on ArxiV as version 3 of arxiv:1006.2374 and it is to appear in Ann. Math \\ ( http://arxiv.org/abs/1006.2373 , 208kb) ------------------------------------------------------------------------------ \\ arXiv:1006.2374 (*cross-listing*) replaced with revised version Wed, 28 Sep 2011 13:41:27 GMT (399kb) Title: Conformal Loop Ensembles: The Markovian characterization and the loop-soup construction Authors: Scott Sheffield, Wendelin Werner Categories: math.PR math-ph math.MP Comments: This 91 page-long paper contains the previous versions (v2) of both papers arxiv:1006.2373 and arxiv:1006.2374 that correspond to Part I and Part II of the present paper. This merged longer paper is to appear in Annals of Mathematics \\ ( http://arxiv.org/abs/1006.2374 , 399kb) ------------------------------------------------------------------------------ \\ arXiv:1009.5422 (*cross-listing*) replaced with revised version Wed, 28 Sep 2011 05:16:45 GMT (18kb) Title: Critical Magnetic Number in the MHD Rayleigh-Taylor instability Authors: Yanjin Wang Categories: math.AP math-ph math.MP Comments: 25 pages;v2: typos MSC-class: 76E25, 76E17, 76W05, 35Q35 \\ ( http://arxiv.org/abs/1009.5422 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:1103.0286 (*cross-listing*) replaced with revised version Wed, 28 Sep 2011 15:43:32 GMT (1892kb) Title: Trade-off coding for universal qudit cloners motivated by the Unruh effect Authors: Tomas Jochym-O'Connor, Kamil Bradler, and Mark M. Wilde Categories: quant-ph gr-qc hep-th math-ph math.MP Comments: 26 pages, 4 figures; v2 has minor corrections to Definition 2. Definition 4 and Remark 5 have been added Journal-ref: Journal of Physics A: Mathematical and Theoretical 44, 415306 (2011) DOI: 10.1088/1751-8113/44/41/415306 \\ ( http://arxiv.org/abs/1103.0286 , 1892kb) ------------------------------------------------------------------------------ \\ arXiv:1104.4764 replaced with revised version Wed, 28 Sep 2011 00:49:30 GMT (12kb) Title: Helium- and Lithium-like ionic sequences: Critical charges Authors: N.L. Guevara, A.V. Turbiner Categories: math-ph math.MP physics.atom-ph quant-ph Comments: 10 pages, LaTeX, typos corrected, Fig.1 added, a Note Added with calculated critical charge for $2^1S$ state for $(Z,e,e)$ system, $Z_{cr,2e}^{(2^1S)}\ =\ 1.02$ \\ ( http://arxiv.org/abs/1104.4764 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1105.3832 replaced with revised version Wed, 28 Sep 2011 05:58:27 GMT (7kb) Title: Magnetic moment of relativistic fermions Authors: Boris V. Gisin Categories: math-ph math.MP Comments: 4 pages, 0 figures \\ ( http://arxiv.org/abs/1105.3832 , 7kb) ------------------------------------------------------------------------------ \\ arXiv:1105.4858 (*cross-listing*) replaced with revised version Wed, 28 Sep 2011 15:12:18 GMT (32kb) Title: Reduction of Poisson-Nijenhuis Lie algebroids to symplectic-Nijenhuis Lie algebroids with nondegenerate Nijenhuis tensor Authors: Antonio De Nicola, Juan Carlos Marrero, Edith Padron Categories: math.DG math-ph math.MP math.SG Comments: 35 pages, final version to appear in J. Phys. A: Math. Theor MSC-class: 53D17 (Primary) 17B62, 17B66, 37J05, 37J35, 37K10 (Secondary) \\ ( http://arxiv.org/abs/1105.4858 , 32kb) ------------------------------------------------------------------------------ \\ arXiv:1107.5305 (*cross-listing*) replaced with revised version Wed, 28 Sep 2011 13:07:17 GMT (1226kb,D) Title: Universal constants and equations of turbulent motion Authors: Helmut Z. Baumert Categories: physics.flu-dyn math-ph math.MP nlin.CD physics.ao-ph physics.class-ph Comments: 18 pages, 8 figures, 63 references submitted to physics.fllu-dyn \\ ( http://arxiv.org/abs/1107.5305 , 1226kb) ------------------------------------------------------------------------------ \\ arXiv:1108.0058 (*cross-listing*) replaced with revised version Wed, 28 Sep 2011 17:38:46 GMT (17kb) Title: Summing Planar Diagrams by an Integrable Bootstrap Authors: Peter Orland (Baruch + Grad Center, CUNY, NBIA) Categories: hep-th cond-mat.stat-mech hep-lat math-ph math.MP Comments: 10 pages, revtex. Fixing of further misprints. Version to appear in Phys. Rev. D \\ ( http://arxiv.org/abs/1108.0058 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1109.3349 (*cross-listing*) replaced with revised version Wed, 28 Sep 2011 15:09:34 GMT (19kb) Title: Fuzzy spaces and new random matrix ensembles Authors: V.P. Nair, A.P. Polychronakos, J. Tekel Categories: hep-th cond-mat.stat-mech math-ph math.MP Comments: 12 pages, 1 figure; references added Report-no: CCNY-HEP-11/5 MSC-class: 15B51 \\ ( http://arxiv.org/abs/1109.3349 , 19kb) ------------------------------------------------------------------------------ \\ arXiv:1109.3875 replaced with revised version Wed, 28 Sep 2011 15:34:28 GMT (14kb) Title: Some Peculiarities of Newton-Hooke Space-Times Authors: Yu Tian Categories: math-ph gr-qc hep-th math.MP quant-ph Comments: 20 pages, revtex4, a slightly shortened version to appear in IJMPD; v2: added a reference \\ ( http://arxiv.org/abs/1109.3875 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1109.4310 (*cross-listing*) replaced with revised version Wed, 28 Sep 2011 11:13:32 GMT (173kb,D) Title: Quantum gray solitons in confining potentials - trapped Lieb II mode Authors: Dominic C. Wadkin-Snaith and Dimitri M. Gangardt Categories: cond-mat.quant-gas math-ph math.MP quant-ph Comments: 5 pages, 2 figures \\ ( http://arxiv.org/abs/1109.4310 , 173kb) ------------------------------------------------------------------------------ \\ arXiv:1109.5980 replaced with revised version Wed, 28 Sep 2011 18:13:09 GMT (15kb) Title: The Cauchy problem for the two dimensional Euler-Poisson system Authors: Dong Li and Yifei Wu Categories: math-ph math.AP math.MP Comments: draft version \\ ( http://arxiv.org/abs/1109.5980 , 15kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- 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