Date: Fri, 30 Nov 12 01:08:57 GMT Subject: math-ph daily 6 new + 11 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 Wed 28 Nov 12 21:00:00 GMT to Thu 29 Nov 12 21:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1211.6783 Date: Wed, 28 Nov 2012 23:50:46 GMT (21kb) Title: A radiating spin chain as a model of irreversible dynamics Authors: Pavel B\'ona and Michal \v{S}ira\v{n} Categories: math-ph math.MP quant-ph Comments: 17 pages MSC-class: 81P15, 81P40, 46L05 \\ We construct a finite spin-1/2 chain model (quantum domino) interacting with a Fermi field, capable of emitting a scalar fermion from the last spin in the chain. The chain with dynamics gradually reversing the neighbouring spins emits eventually a fermion which escapes then to infinity, and the chain converges to a stationary state. We determine the rate of convergence of the system for large time to a different "macroscopic" state connected with the emission of a fermion. We prove that the probability of fermion emission as a function of time t approaches to unity "almost exponentially". We propose that this fast rate of convergence could serve as an approximate theoretical possibility for the "effective" description of the quantum measurement process in the sense proposed by K. Hepp. This all will be preceded by an outline of explicitly solvable dynamics of infinite version of the spin chain which exhibits transition from a locally perturbed unstable stationary state to a truly macroscopically different (i.e. disjoint) state, but with slow convergence for t approaching to infinity. \\ ( http://arxiv.org/abs/1211.6783 , 21kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6824 Date: Thu, 29 Nov 2012 07:10:30 GMT (2904kb,D) Title: Finsler geometrization of classic theory for fields on the interphase boundary including monomolecular 2D-system Authors: V. Balan, H.V. Grushevskaya, N.G. Krylova, A. Oana Categories: math-ph cond-mat.stat-mech math.MP Comments: 19 pages, 8 figures MSC-class: 53B40, 53C60 \\ We prove that the Ricci scalar curvature and the Berwald scalar curvature of a two-dimensional Finsler space, considered over a vector field on the 3-dimensional flat space, are naturally related to 2-dimensional electro-capillary phenomena effects observed for a compressed monolayer. The Cartan tensor and the nonlinear Barthel connection of the Finsler model are determined, and the geometric objects which depend on compression speed and on the characteristics of the electrically charged double layer are used in order to reveal several classes of structure formation within the phase transition of the first order. \\ ( http://arxiv.org/abs/1211.6824 , 2904kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6826 Date: Thu, 29 Nov 2012 07:23:06 GMT (12kb) Title: Generalized twist-deformed Rindler space-times Authors: Marcin Daszkiewicz Categories: math-ph gr-qc math.MP Comments: 15 pages, no figure. arXiv admin note: substantial text overlap with arXiv:1004.3845 Journal-ref: Fundamental J. Mathematical Physics 1 (2011) 1-18 \\ The (linearized) quantum Rindler space-times associated with generalized twist-deformed Minkowski spaces are provided. The corresponding corrections to the Hawking spectra linear in deformation parameters are derived. \\ ( http://arxiv.org/abs/1211.6826 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6908 Date: Thu, 29 Nov 2012 13:29:17 GMT (59kb) Title: Exact solutions of nonlinear boundary value problems of the Stefan type Authors: Roman Cherniha and Sergii Kovalenko Categories: math-ph math.MP nlin.SI Comments: Published version MSC-class: 80A22, 22E70, 35K61 Journal-ref: J. Phys. A: Math. Theor. 42 (2009) 355202 DOI: 10.1088/1751-8113/42/35/355202 \\ The (1+1)-dimensional nonlinear boundary value problem, modeling the process of melting and evaporation of metals, is studied by means of the classical Lie symmetry method. All possible Lie operators of the nonlinear heat equation, which allow us to reduce the problem to the boundary value problem for the system of ordinary differential equations, are found. The forms of heat conductivity coefficients are established when the given problem can be analytically solved in an explicit form. \\ ( http://arxiv.org/abs/1211.6908 , 59kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6938 Date: Thu, 29 Nov 2012 15:01:05 GMT (899kb) Title: A Mathematical model of copper corrosion Authors: Fabrizio Clarelli, Barbara De Filippo, Roberto Natalini Categories: math-ph math.MP math.NA physics.chem-ph MSC-class: 76V05, 35R35, 65M06 \\ A new partial differential model for monitoring and detecting copper corrosion products (mainly brochantite and cuprite) is proposed to provide predictive tools suitable for describing the evolution of damage induced on bronze specimens by sulfur dioxide (SO_2) pollution. This model is characterized by the movement of a double free boundary. Numerical simulations show a nice agreement with experimental result. \\ ( http://arxiv.org/abs/1211.6938 , 899kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6991 Date: Thu, 29 Nov 2012 17:16:35 GMT (24kb) Title: Lie--Hamilton systems: theory and applications Authors: J.F. Cari\~nena, J. de Lucas and C. Sard\'on Categories: math-ph math.CA math.DG math.MP Comments: 20 pages MSC-class: 34A26 (primary), 70G65, 34C14, 37J15 (secondary) \\ This work concerns the definition and analysis of a new class of Lie systems on Poisson manifolds enjoying rich geometric features: the Lie--Hamilton systems. We devise methods to study their superposition rules, time independent constants of motion and Lie symmetries, linearisability conditions, etc. Our results are illustrated by examples of physical and mathematical interest. \\ ( http://arxiv.org/abs/1211.6991 , 24kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1211.6761 (*cross-listing*) Date: Wed, 28 Nov 2012 21:49:56 GMT (26kb,D) 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 MSC-class: 19L50, 53C08, 22A22 \\ We study twisted K-theory on a product space $\mathbb{T} \times M$. The twisting is given by a cup product class which applies the 1-cohomology of $\mathbb{T}$ and 2-cohomology of $M$. In the case of a topological product, we give a concrete realization of the gerbe transition functions associated to the cup product characteristic class and for twisted $K^1$-theory elements. The nontriviality of this construction is proved. We also study equivariant twisted K-theory and gerbes in the case a smooth group action on a manifold. The twisting comes from a product class. By applying groupoid-Cech hypercohomology of an action groupoid we find explicit realization for the equivariant gerbes and twisted $K^1$-elements. Moreover, we develop a superconnection formalism in equivariant cohomology which is used to extract information of the twisted K-theory classes. \\ ( http://arxiv.org/abs/1211.6761 , 26kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6794 (*cross-listing*) Date: Thu, 29 Nov 2012 01:12:33 GMT (734kb,D) Title: Stability and energetics of Bursian diodes Authors: M. S. Rosin and H. Sun Categories: physics.plasm-ph math-ph math.MP physics.class-ph physics.flu-dyn Comments: 15 pages, 8 figures \\ We present an analysis of the stability, energy and torque properties of a model Bursian diode in a one dimensional Eulerian framework using the cold Euler-Poisson fluid equations. In regions of parameter space where there are two sets of equilibrium solutions for the same boundary conditions, one solution is found to be stable and the other unstable to linear perturbations. Following the linearly unstable solutions into the non-linear regime, we find they relax to the stable equilibrium. A description of this process in terms of kinetic, potential and boundary-flux energies is given, and the relation to a Hamiltonian formulation is commented upon. A non-local torque integral theorem, relating the prescribed boundary data to the average current in the domain, is also provided. These results should prove useful for understanding Bursian diodes in general, as well as for control applications and benchmarking numerical codes. \\ ( http://arxiv.org/abs/1211.6794 , 734kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6846 (*cross-listing*) Date: Thu, 29 Nov 2012 08:54:21 GMT (10kb) Title: Approximate analytical solutions of the Dirac equation for Yukawa potential plus Tensor Interaction with any $\kappa$-value Authors: Altug Arda, Ramazan Sever Categories: quant-ph math-ph math.MP Comments: 15 pages \\ Approximate analytical solutions of the Dirac equation are obtained for the Yukawa potential plus a tensor interaction with any $\kappa$-value for the cases having the Dirac equation pseudospin and spin symmetry. The potential describing tensor interaction has a Yukawa-like form. Closed forms of the energy eigenvalue equations and the spinor wave functions are computed by using the Nikiforov-Uvarov method. It is observed that the energy eigenvalue equations are consistent with the ones obtained before. Our numerical results are also listed to see the effect of the tensor interaction on the bound states. \\ ( http://arxiv.org/abs/1211.6846 , 10kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6882 (*cross-listing*) Date: Thu, 29 Nov 2012 11:20:08 GMT (7kb) Title: Quantum Physics and Fluctuating Topologies: Survey Authors: M. Asorey, A. P. Balachandran, G. Marmo, I. P. Costa e Silva, A. R. de Queiroz, P. Teotonio-Sobrinho, S. Vaidya Categories: hep-th gr-qc math-ph math.MP quant-ph Comments: 6 pages \\ The spin-statistics connection, quantum gravity and other physical considerations suggest that classical space-time topology is not an immutable attribute and can change in quantum physics. The implementation of topology change using quantum principles has been studied for over two decades by a few of us. There has been a recent revival of interest in some of our work, dating back to as early as 1995. The present paper is meant as a resource article to our major relevant papers. It contains summaries of the contents of the cited papers and the corresponding links wherever available. \\ ( http://arxiv.org/abs/1211.6882 , 7kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6889 (*cross-listing*) Date: Thu, 29 Nov 2012 11:49:12 GMT (583kb) Title: Ladder operators and squeezed coherent states of a 3-dimensional generalized isotonic nonlinear oscillator Authors: V. Chithiika Ruby, S. Karthiga and M. Senthilvelan Categories: quant-ph math-ph math.MP Comments: To appear in J. Phys. A: Math. Theor., (2012) \\ We explore squeezed coherent states of a 3-dimensional generalized isotonic oscillator whose radial part is the newly introduced generalized isotonic oscillator whose bound state solutions have been shown to admit the recently discovered $X_1$-Laguerre polynomials. We construct a complete set of squeezed coherent states of this oscillator by exploring the squeezed coherent states of the radial part and combining the latter with the squeezed coherent states of the angular part. We also prove that the three mode squeezed coherent states resolve the identity operator. We evaluate Mandel's $Q$-parameter of the obtained states and demonstrate that these states exhibit sub-Possionian and super-Possionian photon statistics. Further, we illustrate the squeezing properties of these states, both in the radial and angular parts, by choosing appropriate observables in the respective parts. We also evaluate Wigner function of these three mode squeezed coherent states and demonstrate squeezing property explicitly. \\ ( http://arxiv.org/abs/1211.6889 , 583kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6904 (*cross-listing*) Date: Thu, 29 Nov 2012 13:16:17 GMT (17kb) Title: On expansion of equal-time relativistic two-body wave equations in powers of 1/c to higher orders Authors: Alexei Turovsky Categories: quant-ph math-ph math.MP physics.atom-ph Comments: 12 pages \\ Based on an extension of the Foldy--Wouthuysen method to two-body equations, the problem of expansion of equal-time relativistic equations for two Dirac particles in powers of $1/c$ to higher orders is considered. For the case of two particles with unequal masses, the transformed Hamiltonian in a general even-even form is obtained to order $1/c^4$. It is found that certain extra terms, which can be eliminated by an additional unitary transformation, arise in the expansion in higher orders, depending on the order of application of the generating functions in the first iteration. As examples for illustration, the Breit equation and the Salpeter equation with the Breit interaction are taken and their reduction to approximate forms including all the $1/c^{4}$-order terms is carried out using the method under consideration. The obtained results may be applied for the nonrelativistic expansion of two-body wave equations with various interaction potentials to higher orders, for the investigation of their features and symmetries, and may also be useful in the study of light atoms. \\ ( http://arxiv.org/abs/1211.6904 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6958 (*cross-listing*) Date: Thu, 29 Nov 2012 15:45:33 GMT (52kb) Title: Integrability of reductions of the discrete KdV and potential KdV equations Authors: A.N.W. Hone, P.H. van der Kamp, G.R.W. Quispel and D.T. Tran Categories: nlin.SI math-ph math.DS math.MP Comments: 26 pages, 1 figure \\ We study the integrability of mappings obtained as reductions of the discrete Korteweg-de Vries (KdV) equation and of two copies of the discrete potential Korteweg-de Vries equation (pKdV). We show that the mappings corresponding to the discrete KdV equation, which can be derived from the latter, are completely integrable in the Liouville-Arnold sense. The mappings associated with two copies of the pKdV equation are also shown to be integrable. \\ ( http://arxiv.org/abs/1211.6958 , 52kb) ------------------------------------------------------------------------------ \\ arXiv:1211.6974 (*cross-listing*) Date: Thu, 29 Nov 2012 16:40:23 GMT (511kb,D) Title: Random curves on surfaces induced from the Laplacian determinant Authors: Adrien Kassel, Richard Kenyon Categories: math.PR math-ph math.MP MSC-class: 82B41 \\ We define natural probability measures on cycle-rooted spanning forests (CRSFs) on graphs embedded on a surface with a Riemannian metric. These measures arise from the Laplacian determinant and depend on the choice of a unitary connection on the tangent bundle to the surface. We show that, for a sequence of graphs $(G_n)$ conformally approximating the surface, the measures on CRSFs of $G_n$ converge and give a limiting probability measure on finite multicurves (finite collections of pairwise disjoint simple closed curves) on the surface, independent of the approximating sequence. Wilson's algorithm for generating spanning trees on a graph generalizes to a cycle-popping algorithm for generating CRSFs for a general family of weights on the cycles. We use this to sample the above measures. The sampling algorithm, which relates these measures to the loop-erased random walk, is also used to prove tightness of the sequence of measures, a key step in the proof of their convergence. We set the framework for the study of these probability measures and their scaling limits and state some of their properties. \\ ( http://arxiv.org/abs/1211.6974 , 511kb) ------------------------------------------------------------------------------ \\ arXiv:1211.7010 (*cross-listing*) Date: Thu, 29 Nov 2012 18:06:36 GMT (10kb) Title: Exact matrix product solution for the boundary-driven Lindblad $XXZ$-chain Authors: D. Karevski, V. Popkov, and G.M. Sch\"utz Categories: cond-mat.stat-mech math-ph math.MP quant-ph Comments: 4 pages, no figures \\ We demonstrate that the exact non-equilibrium steady state of the one-dimensional Heisenberg XXZ spin chain driven by boundary Lindblad operators can be constructed explicitly with a matrix product ansatz for the non-equilibrium density matrix where the matrices satisfy a {\it quadratic algebra}. This algebra turns out to be related to the quantum algebra $U_q[SU(2)]$. Coherent state techniques are introduced for the exact solution of the isotropic Heisenberg chain with and without quantum boundary fields and Lindblad terms that correspond to two different completely polarized boundary states. We show that this boundary twist leads to non-vanishing stationary currents of all spin components. Our results suggest that the matrix product ansatz can be extended to more general quantum systems kept far from equilibrium by Lindblad boundary terms. \\ ( http://arxiv.org/abs/1211.7010 , 10kb) ------------------------------------------------------------------------------ \\ arXiv:1211.7011 (*cross-listing*) Date: Thu, 29 Nov 2012 18:10:22 GMT (6kb) Title: A Laplace transform approach to the quantum harmonic oscillator Authors: Douglas R. M. Pimentel and Antonio S. de Castro Categories: quant-ph math-ph math.MP \\ The one-dimensional quantum harmonic oscillator problem is examined via the Laplace transform method. The stationary states are determined by requiring definite parity and good behaviour of the eigenfunction at the origin and at infinity. \\ ( http://arxiv.org/abs/1211.7011 , 6kb) ------------------------------------------------------------------------------ \\ arXiv:1211.7050 (*cross-listing*) Date: Thu, 29 Nov 2012 20:55:13 GMT (45kb) Title: A scale-covariant quantum space-time Authors: Claudio Perini and Gabriele Nunzio Tornetta Categories: gr-qc hep-th math-ph math.MP Comments: 38 pages \\ A noncommutative space-time admitting dilation symmetry was briefly mentioned in the seminal work of Doplicher, Fredenhagen and Roberts. In this paper we explicitly construct the model in details and carry out an in-depth analysis. The C*-algebra that describes this quantum space-time is determined, and it is shown that it admits an action by *-automorphisms of the dilation group, along with the expected Poincar\'e covariance. In order to study the main physical properties of this scale-covariant model, a free scalar neutral field is introduced as a investigation tool. Our key results are then the loss of locality and the irreducibility, or triviality, of special field algebras associated with regions of the ordinary Minkowski space-time. It turns out, in the conclusions, that this analysis allows also to argue on viable ways of constructing a full conformally covariant model for quantum space-time. \\ ( http://arxiv.org/abs/1211.7050 , 45kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:1012.5606 replaced with revised version Thu, 29 Nov 2012 13:18:09 GMT (104kb) Title: Lie symmetries of nonlinear boundary value problems Authors: Roman Cherniha, Sergii Kovalenko Categories: math-ph math.MP Comments: Published version MSC-class: 22E70, 35K61, 80A22 Journal-ref: Commun. Nonlinear Sci. Numer. Simulat. 17 (2012) 71-84 DOI: 10.1016/j.cnsns.2011.04.028 \\ ( http://arxiv.org/abs/1012.5606 , 104kb) ------------------------------------------------------------------------------ \\ arXiv:1103.6182 replaced with revised version Thu, 29 Nov 2012 20:07:38 GMT (36kb) Title: High-Velocity Estimates and Inverse Scattering for Quantum N-Body Systems with Stark Effect Authors: Gerardo Daniel Valencia and Ricardo Weder Categories: math-ph math.MP Comments: In this published version we have added remarks and we have edited the paper MSC-class: 81U40, 35P25, 35Q40, 35R30 Journal-ref: J. Math. Phys. volumen 53 (2012)102105 \\ ( http://arxiv.org/abs/1103.6182 , 36kb) ------------------------------------------------------------------------------ \\ arXiv:1104.4869 replaced with revised version Thu, 29 Nov 2012 05:45:07 GMT (18kb) Title: Weak Chaos from Tsallis Entropy Authors: Nikos Kalogeropoulos Categories: math-ph cond-mat.stat-mech math.MP nlin.CD Comments: 19 pages, Standard LaTeX2e, v2: addition of the last paragraph in Section 4. Three additional refs. To be punished in QScience Connect \\ ( http://arxiv.org/abs/1104.4869 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:1105.4158 (*cross-listing*) replaced with revised version Thu, 29 Nov 2012 16:48:08 GMT (82kb,D) Title: Conformal invariance of loops in the double-dimer model Authors: Richard Kenyon Categories: math.PR math-ph math.MP MSC-class: 82B20 \\ ( http://arxiv.org/abs/1105.4158 , 82kb) ------------------------------------------------------------------------------ \\ arXiv:1204.3714 (*cross-listing*) replaced with revised version Thu, 29 Nov 2012 06:14:19 GMT (64kb) Title: Lectures on AKSZ Topological Field Theories for Physicists Authors: Noriaki Ikeda Categories: hep-th math-ph math.MP math.SG Comments: 77 pages, revised version. added contents \\ ( http://arxiv.org/abs/1204.3714 , 64kb) ------------------------------------------------------------------------------ \\ arXiv:1205.0985 (*cross-listing*) replaced with revised version Thu, 29 Nov 2012 11:19:41 GMT (368kb,D) Title: Precisely timing dissipative quantum information processing Authors: M. J. Kastoryano, M. M. Wolf, J. Eisert Categories: quant-ph cond-mat.stat-mech math-ph math.MP Comments: 5+5 pages, material added \\ ( http://arxiv.org/abs/1205.0985 , 368kb) ------------------------------------------------------------------------------ \\ arXiv:1205.3688 replaced with revised version Thu, 29 Nov 2012 08:27:18 GMT (19kb) Title: Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators Authors: Nicolas Lerner, Yoshinori Morimoto, Karel Pravda-Starov, Chao-Jiang Xu Categories: math-ph math.AP math.FA math.MP Comments: arXiv admin note: text overlap with arXiv:1111.0423 MSC-class: 35Q20, 76P05, 82B40, 35R11 \\ ( http://arxiv.org/abs/1205.3688 , 19kb) ------------------------------------------------------------------------------ \\ arXiv:1206.4570 replaced with revised version Thu, 29 Nov 2012 13:39:33 GMT (58kb) Title: Monotonous continuous-time random walks with drift and stochastic reset events Authors: Miquel Montero and Javier Villarroel Categories: math-ph math.MP math.PR Comments: 15 pages, 4 figures, revtex4-1; considerable revision, 4 appendices added \\ ( http://arxiv.org/abs/1206.4570 , 58kb) ------------------------------------------------------------------------------ \\ arXiv:1206.4893 replaced with revised version Thu, 29 Nov 2012 00:57:30 GMT (467kb) Title: Quantifying Self-Organization with Optimal Wavelets Authors: Milos Milovanovic and Milan Rajkovic Categories: math-ph math.MP nlin.AO Comments: 12 pages, 3 figures \\ ( http://arxiv.org/abs/1206.4893 , 467kb) ------------------------------------------------------------------------------ \\ arXiv:1208.5775 (*cross-listing*) replaced with revised version Wed, 28 Nov 2012 23:35:25 GMT (381kb) Title: On Undulation Invariants of Plane Curves Authors: A. Popolitov and Sh. Shakirov Categories: math.AG math-ph math.MP Comments: 22 pages, 8 figures Report-no: ITEP/TH-10/12 MSC-class: 14H50 \\ ( http://arxiv.org/abs/1208.5775 , 381kb) ------------------------------------------------------------------------------ \\ arXiv:1210.2812 (*cross-listing*) replaced with revised version Thu, 29 Nov 2012 01:54:05 GMT (62kb) Title: Polynomial constraints on representing entangled qubits as matrix product states Authors: Andrew Critch and Jason Morton Categories: quant-ph math-ph math.MP MSC-class: 81R05, 81R50, 20C35, 22E70, 13P25, 13A50, 14J70, 14J81, 14L30, 14Q15, 14R20 \\ ( http://arxiv.org/abs/1210.2812 , 62kb) ------------------------------------------------------------------------------ \\ arXiv:1211.4536 replaced with revised version Thu, 29 Nov 2012 02:51:35 GMT (12kb) Title: Three-particle integrals with the Bessel functions Authors: Alexei M. Frolov Categories: math-ph math.MP physics.atom-ph \\ ( http://arxiv.org/abs/1211.4536 , 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