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Aspects of the inverse problem for the Toda chain
http://inspirehep.net/record/1290473
J.Math.Phys. 54 (2013) 121902<br /><br />by: Kozlowski, K.K.<br /><strong>Abstract:</strong> <br />We generalize Babelon's approach to equations in dual variables so as to be able to treat new types of operators which we build out of the sub-constituents of the model's monodromy matrix. Further, we also apply Sklyanin's recent monodromy matrix identities so as to obtain equations in dual variables for yet other operators. The schemes discussed in this paper appear to be universal and thus, in principle, applicable to many models solvable through the quantum separation of variables.Kozlowski, K.K.Tue, 15 Apr 2014 15:37:51 GMThttp://inspirehep.net/record/12904732013Laplace-Runge-Lenz vector for arbitrary spin
http://inspirehep.net/record/1290472
J.Math.Phys. 54 (2013) 123506<br /><br />by: Nikitin, A.G.<br /><strong>Abstract:</strong> <br />A countable set of superintegrable quantum mechanical systems is presented which admit the dynamical symmetry with respect to algebra so(4). This algebra is generated by the Laplace-Runge-Lenz vector generalized to the case of arbitrary spin. The presented systems describe neutral particles with non-trivial multipole momenta. Their spectra can be found algebraically like in the case of hydrogen atom. Solutions for the systems with spins 1/2 and 1 are presented explicitly, solutions for spin 3/2 can be expressed via solutions of an ordinary differential equation of first order. A more extended version of this paper including detailed calculations is published as an e-print arXiv:1308.4279.Nikitin, A.G.Tue, 15 Apr 2014 15:37:48 GMThttp://inspirehep.net/record/12904722013On the diagonal susceptibility of the two-dimensional Ising model
http://inspirehep.net/record/1290471
J.Math.Phys. 54 (2013) 123302<br /><br />by: Tracy, Craig A.<br /><strong>Abstract:</strong> <br />We consider the diagonal susceptibility of the isotropic 2D Ising model for temperatures below the critical temperature. For a parameter k related to temperature and the interaction constant, we extend the diagonal susceptibility to complex k inside the unit disc, and prove the conjecture that the unit circle is a natural boundary.Tracy, Craig A.Tue, 15 Apr 2014 15:37:47 GMThttp://inspirehep.net/record/12904712013Remarks on Hamiltonian structures in G2-geometry
http://inspirehep.net/record/1290470
J.Math.Phys. 54 (2013) 122901<br /><br />by: Cho, Hyunjoo<br /><strong>Abstract:</strong> <br />In this article, we treat G 2-geometry as a special case of multisymplectic geometry and make a number of remarks regarding Hamiltonian multivector fields and Hamiltonian differential forms on manifolds with an integrable G 2-structureCho, HyunjooTue, 15 Apr 2014 15:37:46 GMThttp://inspirehep.net/record/12904702013Non-modular lattices generated by the causal structure
http://inspirehep.net/record/1290469
J.Math.Phys. 54 (2013) 122501<br /><br />by: CegłA, Wojciech<br /><strong>Abstract:</strong> <br />A lattice structure approach is used for investigation of the causal structure of space-time. Two lattices are considered: the first one generated by the chronological relation based on a time-like curve, the second one generated by the causal relation based on a causal path.CegłA, WojciechTue, 15 Apr 2014 15:37:46 GMThttp://inspirehep.net/record/12904692013Geometric momentum for a particle constrained on a curved hypersurface
http://inspirehep.net/record/1290468
J.Math.Phys. 54 (2013) 122113<br /><br />by: Liu, Q.H.<br /><strong>Abstract:</strong> <br />The canonical quantization is a procedure for quantizing a classical theory while preserving the formal algebraic structure among observables in the classical theory to the extent possible. For a system without constraint, we have the so-called fundamental commutation relations (CRs) among positions and momenta, whose algebraic relations are the same as those given by the Poisson brackets in classical mechanics. For the constrained motion on a curved hypersurface, we need more fundamental CRs otherwise neither momentum nor kinetic energy can be properly quantized, and we propose an enlarged canonical quantization scheme with introduction of the second category of fundamental CRs between Hamiltonian and positions, and those between Hamiltonian and momenta, whereas the original ones are categorized into the first. As an N − 1 (N ⩾ 2) dimensional hypersurface is embedded in an N dimensional Euclidean space, we obtain the proper momentum that depends on the mean curvature. For the spherical surface, a long-standing problem in the form of the geometric potential is resolved in a lucid and unambiguous manner, which turns out to be identical to that given by the so-called confining potential technique. In addition, a new dynamical group SO(N, 1) symmetry for the motion on the sphere is demonstrated.Liu, Q.H.Tue, 15 Apr 2014 15:37:45 GMThttp://inspirehep.net/record/12904682013Analytic structure of the multichannel Jost matrix for potentials with Coulombic tails
http://inspirehep.net/record/1290467
J.Math.Phys. 54 (2013) 122112<br /><br />by: Rakityansky, S.A.<br /><strong>Abstract:</strong> <br />A quantum system is considered that can move in N two-body channels with the potentials that may include the Coulomb interaction. For this system, the Jost matrix is constructed in such a way that all its dependencies on the channel momenta and Sommerfeld parameters are factorized in the form of explicit analytic expressions. It is shown that the two remaining unknown matrices are single-valued analytic functions of the energy and therefore can be expanded in the Taylor series near an arbitrary point within the domain of their analyticity. It is derived a system of first-order differential equations whose solutions determine the expansion coefficients of these series. Alternatively, the unknown expansion coefficients can be used as fitting parameters for parametrizing experimental data similarly to the effective-range expansion. Such a parametrization has the advantage of preserving proper analytic structure of the Jost matrix and can be done not only near the threshold energies, but around any collision or even complex energy. As soon as the parameters are obtained, the Jost matrix (and therefore the S-matrix) is known analytically on all sheets of the Riemann surface, and thus enables one to locate possible resonances.Rakityansky, S.A.Tue, 15 Apr 2014 15:37:45 GMThttp://inspirehep.net/record/12904672013Independent bases on the spatial wavefunction of four-identical-particle systems
http://inspirehep.net/record/1290466
J.Math.Phys. 54 (2013) 122105<br /><br />by: Xiao, Shuyuan (SWCNU, Chongqing) et al.<br /><br /><strong>Abstract:</strong> <br />We construct the independent bases on the spatial wavefunction of four-identical-particle systems classified under the rotational group SO(3) and the permutation group S 4 with the usage of transformation coefficients that relate wavefunctions described in one set of internal coordinates with those in another. The basis functions for N ⩽ 2 are presented in the explicit expressions based on the harmonic oscillator model. Such independent bases are supposed to play a key role in the construction of the wavefunctions of the five-quark states and the variation calculation of four-body systems. Our prescription avoids the spurious states and can be programmed for arbitrary N.Xiao, ShuyuanTue, 15 Apr 2014 15:37:44 GMThttp://inspirehep.net/record/12904662013Rational extension and Jacobi-type Xm solutions of a quantum nonlinear oscillator
http://inspirehep.net/record/1290465
J.Math.Phys. 54 (2013) 122104<br /><br />by: Schulze-Halberg, Axel<br /><strong>Abstract:</strong> <br />We construct a rational extension of a recently studied nonlinear quantum oscillator model. Our extended model is shown to retain exact solvability, admitting a discrete spectrum and corresponding closed-form solutions that are expressed through Jacobi-type X m exceptional orthogonal polynomials.Schulze-Halberg, AxelTue, 15 Apr 2014 15:37:44 GMThttp://inspirehep.net/record/12904652013Extending Romanovski polynomials in quantum mechanics
http://inspirehep.net/record/1290464
J.Math.Phys. 54 (2013) 122103<br /><br />by: Quesne, C.<br /><strong>Abstract:</strong> <br />Some extensions of the (third-class) Romanovski polynomials (also called Romanovski/pseudo-Jacobi polynomials), which appear in bound-state wavefunctions of rationally extended Scarf II and Rosen-Morse I potentials, are considered. For the former potentials, the generalized polynomials satisfy a finite orthogonality relation, while for the latter an infinite set of relations among polynomials with degree-dependent parameters is obtained. Both types of relations are counterparts of those known for conventional polynomials. In the absence of any direct information on the zeros of the Romanovski polynomials present in denominators, the regularity of the constructed potentials is checked by taking advantage of the disconjugacy properties of second-order differential equations of Schrödinger type. It is also shown that on going from Scarf I to Scarf II or from Rosen-Morse II to Rosen-Morse I potentials, the variety of rational extensions is narrowed down from types I, II, and III to type III only.Quesne, C.Tue, 15 Apr 2014 15:37:43 GMThttp://inspirehep.net/record/12904642013Application of polynomial su(1, 1) algebra to Pöschl-Teller potentials
http://inspirehep.net/record/1290463
J.Math.Phys. 54 (2013) 122102<br /><br />by: Zhang, Hong-Biao<br /><strong>Abstract:</strong> <br />Two novel polynomial su(1, 1) algebras for the physical systems with the first and second Pöschl-Teller (PT) potentials are constructed, and their specific representations are presented. Meanwhile, these polynomial su(1, 1) algebras are used as an algebraic technique to solve eigenvalues and eigenfunctions of the Hamiltonians associated with the first and second PT potentials. The algebraic approach explores an appropriate new pair of raising and lowing operators K ̂ ± of polynomial su(1, 1) algebra as a pair of shift operators of our Hamiltonians. In addition, two usual su(1, 1) algebras associated with the first and second PT potentials are derived naturally from the polynomial su(1, 1) algebras built by us.Zhang, Hong-BiaoTue, 15 Apr 2014 15:37:43 GMThttp://inspirehep.net/record/12904632013Ward identities and chiral anomalies for coupled fermionic chains
http://inspirehep.net/record/1290462
J.Math.Phys. 54 (2013) 121901<br /><br />by: Costa, L.C.<br /><strong>Abstract:</strong> <br />Coupled fermionic chains are usually described by an effective model written in terms of bonding and anti-bonding fermionic fields with linear dispersion in the vicinities of the respective Fermi points. We derive for the first time exact Ward Identities (WI) for this model, proving the existence of chiral anomalies which verify the Adler-Bardeen non-renormalization property. Such WI are expected to play a crucial role in the understanding of the thermodynamic properties of the system. Our results are non-perturbative and are obtained analyzing Grassmann functional integrals by means of constructive quantum field theory methods.Costa, L.C.Tue, 15 Apr 2014 15:37:42 GMThttp://inspirehep.net/record/12904622013Nonexistence of global solution to Chern-Simons-Higgs system
http://inspirehep.net/record/1290461
J.Math.Phys. 54 (2013) 121506<br /><br />by: Yuan, Jianjun<br /><strong>Abstract:</strong> <br />In this paper, we show that for a class of Higgs potentials V, the 2+1-dimensional Chern-Simons-Higgs system with negative energy or zero energy together with ( d d t ∫ | ϕ ( t , x ) | 2 d x ) ( 0 ) > 0 blows up in finite time.Yuan, JianjunTue, 15 Apr 2014 15:37:41 GMThttp://inspirehep.net/record/12904612013The oscillator model for the Lie superalgebra sh ( 2 | 2 ) and Charlier polynomials
http://inspirehep.net/record/1290460
J.Math.Phys. 54 (2013) 103506<br /><br />by: Jafarov, E.I.Jafarov, E.I.Tue, 15 Apr 2014 15:37:37 GMThttp://inspirehep.net/record/12904602013Finite temperature Casimir effect on spherical shells in (D + 1)-dimensional spacetime and its high temperature limit
http://inspirehep.net/record/1290459
J.Math.Phys. 54 (2013) 103505<br /><br />by: Teo, L.P. (Nottingham U., Malaysia)<br />Teo, L.P.Tue, 15 Apr 2014 15:37:36 GMThttp://inspirehep.net/record/12904592013New solvable discrete-time many-body problem featuring several arbitrary parameters. II
http://inspirehep.net/record/1290458
J.Math.Phys. 54 (2013) 102702<br /><br />by: Calogero, F.Calogero, F.Tue, 15 Apr 2014 15:37:36 GMThttp://inspirehep.net/record/12904582013Fast Tracker: a hardware real time track finder for the ATLAS trigger system
http://inspirehep.net/record/1290457
JINST 9 (2014) C04012<br /><br />by: Kimura, N. (Waseda U.)<br /><br /><strong>Abstract:</strong> <br />The Fast Tracker (FTK) is an integral part of the triggerupgrade program of the ATLAS detector at the Large Hadron Collider(LHC). As the LHC luminosity approaches its design level of 1034 cm−2s−1, the combinatorial problem posed by chargedparticle tracking becomes increasingly difficult due to the swellingof multiple interactions per bunch crossing. The FTK is ahighly-parallel hardware system intended to provide high-qualitytracks with transverse momentum above 1 GeV in real time for onlinetrigger system. The FTK system's design, based on a mixture ofadvanced technologies, and the expected physics performance will bepresented.Kimura, N.Tue, 15 Apr 2014 15:37:13 GMThttp://inspirehep.net/record/12904572014-04-10Ultra Slow Muon Microscope at MUSE / J-PARC
http://inspirehep.net/record/1290456
J.Phys.Conf.Ser. 502 (2014) 012042<br /><br />by: Nakamura, J.<br /><strong>Abstract:</strong> <br />We report current constructing states of the Ultra Slow Muon Beam at U-line / MUSE / J-PARC, which are supported by thermal muonium (Mu, μ+e−) production with the most intense pulsed slow muon beam, laser resonant ionization, and transportation of Ultra Slow Muon Beam. A thermal Mu is produced by a hot tungsten foil in a Mu-production chamber. At the laser resonant ionization process, a thermal Mu is ionized by coherent vacuum ultraviolet radiation and coherent 355-nm radiation. The coherent radiation sources are developed at RIKEN, installed in a laser cabin, and connected via a VUV steering chamber with the Mu-production chamber.Nakamura, J.Tue, 15 Apr 2014 15:37:13 GMThttp://inspirehep.net/record/12904562014-04-10Close-coupling approach to antiproton-impact ionisation of H2 with analytical spherical averaging
http://inspirehep.net/record/1290455
J.Phys.Conf.Ser. 488 (2014) 102032<br /><br />by: Abdurakhmanov, I.B.<br /><strong>Abstract:</strong> <br />Integrated cross section for single ionisation of molecular hydrogen by antiproton impact has been calculated in a wide range of impact energies from 1 keV up to 2 MeV using a close-coupling approach. For the first time all possible orientations of the molecular target have been accounted for using an ab initio analytical spherical averaging technique. Obtained results are in good agreement with experiment.Abdurakhmanov, I.B.Tue, 15 Apr 2014 15:37:13 GMThttp://inspirehep.net/record/12904552014-04-10Ionization of He by slow antiproton impact: total and differential ionization cross sections
http://inspirehep.net/record/1290454
J.Phys.Conf.Ser. 488 (2014) 072008<br /><br />by: Borbély, S.<br /><strong>Abstract:</strong> <br />We present accurate theoretical total ionization cross sections for the single and double ionization of He by antiproton impact. We also show differential cross sections for single ionization at 10 and 100 keV antiproton energies. We analyze the angular distribution of the electrons as a function of ejection energies and investigate the dominant features of the differential cross sections. We identify strong post-collisional projectile-electron interaction effects.Borbély, S.Tue, 15 Apr 2014 15:37:13 GMThttp://inspirehep.net/record/12904542014-04-10Antiproton helium collisions in time-dependent density functional theory
http://inspirehep.net/record/1290453
J.Phys.Conf.Ser. 488 (2014) 072005<br /><br />by: Baxter, Matthew<br /><strong>Abstract:</strong> <br />We have calculated total cross sections for single and double ionization in antiproton helium collisions over a range of impact energies. Several models for the incorporation of correlation have been explored in the context of time-dependent density functional theory.Baxter, MatthewTue, 15 Apr 2014 15:37:12 GMThttp://inspirehep.net/record/12904532014-04-10Interference between direct ionisation and positronium formation in continuum in positron-hydrogen collisions
http://inspirehep.net/record/1290452
J.Phys.Conf.Ser. 488 (2014) 072003<br /><br />by: Kadyrov, A.S.<br /><strong>Abstract:</strong> <br />The fully differential cross section for positron-impact ionisation of hydrogen is calculated in a two-centre Born approximation. It is suggested that two-centre approaches to the problem should assume incoherent combination of contributions from direct ionisation of the atom and positronium formation in continuum.Kadyrov, A.S.Tue, 15 Apr 2014 15:37:12 GMThttp://inspirehep.net/record/12904522014-04-10Neutrino-helium ionizing collisions: Electromagnetic contribution
http://inspirehep.net/record/1290451
J.Phys.Conf.Ser. 488 (2014) 072001<br /><br />by: Kouzakov, Konstantin A. (Moscow State U.) et al.<br /><br /><strong>Abstract:</strong> <br />In terrestrial experiments searching for neutrino magnetic moments one investigates the ionization channel in the neutrino-atom scattering. We present numerical calculations that disprove the recent theoretical claim about large enhancement of the electromagnetic-interaction contribution to the neutrino impact ionization of helium relative to the case of the neutrino scattering on free electrons.Kouzakov, Konstantin A.Tue, 15 Apr 2014 15:37:12 GMThttp://inspirehep.net/record/12904512014-04-10The magnetic moments of the proton and the antiproton
http://inspirehep.net/record/1290450
J.Phys.Conf.Ser. 488 (2014) 012033<br /><br />by: Ulmer, S. (Wako, RIKEN) et al.<br /><br /><strong>Abstract:</strong> <br />Recent exciting progress in the preparation and manipulation of the motional quantum states of a single trapped proton enabled the first direct detection of the particle's spin state. Based on this success the proton magnetic moment μp was measured with ppm precision in a Penning trap with a superimposed magnetic field inhomogeneity. An improvement by an additional factor of 1000 in precision is possible by application of the so-called double Penning trap technique. In a recent paper we reported the first demonstration of this method with a single trapped proton, which is a major step towards the first direct high-precision measurement of μp. The techniques required for the proton can be directly applied to measure the antiproton magnetic moment μp. An improvement in precision of μp by more than three orders of magnitude becomes possible, which will provide one of the most sensitive tests of CPT invariance. To achieve this research goal we are currently setting up the Baryon Antibaryon Symmetry Experiment (BASE) at the antiproton decelerator (AD) of CERN.Ulmer, S.Tue, 15 Apr 2014 15:37:12 GMThttp://inspirehep.net/record/12904502014-04-10One-Dimensional Ising Models with Long Range Interactions: Cluster Expansion, Phase-Separating Point
http://inspirehep.net/record/1290449
Commun.Math.Phys. 327 (2014) 951-991<br /><br />by: Cassandro, MarzioCassandro, MarzioTue, 15 Apr 2014 15:37:06 GMThttp://inspirehep.net/record/12904492014