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Перегляд Відділення математики за назвою

Репозиторій DSpace/Manakin

Перегляд Відділення математики за назвою

Сортувати за: Порядок: Результатів:

  • q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) 
    Asherova, R.M.; Burdík, Č.; Havlíček, M.; Smirnov, Y.F.; Tolstoy, V.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    For the quantum algebra Uq(gl(n+1)) in its reduction on the subalgebra Uq(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Zq(gl(n+1),gl(n)) is given in terms of the generators and their defining ...
  • q-Apostol–Euler Polynomials and q-Alternating Sums 
    Luo, Q.-M. (Український математичний журнал, 2013)
    Basic properties are established and generating functions are obtained for the q -Apostol–Euler polynomials. We define q -alternating sums and obtain q -extensions of some formulas from Integral Transform. Spectr. Funct., ...
  • q-Boson in Quantum Integrable Systems 
    Kundu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    q-bosonic realization of the underlying Yang-Baxter algebra is identified for a series of quantum integrable systems, including some new models like two-mode q-bosonic model leading to a coupled two-component derivative ...
  • Q-Curvature, Spectral Invariants, and Representation Theory 
    Branson, T.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We give an introductory account of functional determinants of elliptic operators on manifolds and Polyakov-type formulas for their infinitesimal and finite conformal variations. We relate this to extremal problems and to ...
  • q-Deformed Bi-Local Fields II 
    Toyoda, H.; Naka, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We study a way of q-deformation of the bi-local system, the two particle system bounded by a relativistic harmonic oscillator type of potential, from both points of view of mass spectra and the behavior of scattering ...
  • q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy 
    He, Jingsong; Li, Yinghua; Cheng, Yi (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Using the determinant representation of gauge transformation operator, we have shown that the general form of τ function of the q-KP hierarchy is a q-deformed generalized Wronskian, which includes the q-deformed Wronskian ...
  • q -Difference Kac-Schwarz Operators in Topological String Theory 
    Takasaki, K.; Nakatsu, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The perspective of Kac-Schwarz operators is introduced to the authors' previous work on the quantum mirror curves of topological string theory in strip geometry and closed topological vertex. Open string amplitudes on each ...
  • Q -permutable subgroups of finite groups 
    Pu, Zh.; Miao, L. (Український математичний журнал, 2011)
    A subgroup H of a group G is called Q-permutable in G if there exists a subgroup B of G such that (1) G=HB and (2) if H1 is a maximal subgroup of H containing HQG, then H1B=BH1<G, where HQG is the largest permutable subgroup ...
  • QR-алгоритм и обобщенные потоки Тода 
    Файбусович, Л.Е. (Український математичний журнал, 1989)
    Рассмотрено асимптотическое поведение решений класса динамических систем — обобщенных потоков Тода. Указана связь с асимптотическим поведением решений матричных дифференциальных уравнений Риккати на граесмановом многообразии.
  • Q-system Cluster Algebras, Paths and Total Positivity 
    di Francesko, P.; Kedem, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In the first part of this paper, we provide a concise review of our method of solution of the Ar Q-systems in terms of the partition function of paths on a weighted graph. In the second part, we show that it is possible ...
  • Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    An exactly solvable position-dependent mass Schrödinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional ...
  • Quadratic residues of the norm group in sectorial domains 
    Balyas, L.; Varbanets, P. (Algebra and Discrete Mathematics, 2016)
    In the article the distribution of quadratic residues in the ring Gpn, in the norm subgroup En of multiplicative group G∗pn, is investigated. The asymptotic formula for the number R(x,ϕ) of quadratic residues in the sectorial ...
  • Qualitative Analysis of the Classical and Quantum Manakov Top 
    Sinitsyn, E.; Zhilinskii, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables ...
  • Quantitative convergence theorems for a class of Bernstein–Durrmeyer operators preserving linear functions 
    Gonska, H.; Peltenia, R. (Український математичний журнал, 2010)
    We supplement recent results on a class of Bernstein–Durrmeyer operators preserving linear functions. This is done by discussing two limiting cases and proving quantitative Voronovskaya-type assertions involving the ...
  • Quantitative K-Theory Related to Spin Chern Numbers 
    Loring, T.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We examine the various indices defined on pairs of almost commuting unitary matrices that can detect pairs that are far from commuting pairs. We do this in two symmetry classes, that of general unitary matrices and that ...
  • Quantum Analogs of Tensor Product Representations of su(1,1) 
    Groenevelt, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study representations of Uq(su(1,1)) that can be considered as quantum analogs of tensor products of irreducible *-representations of the Lie algebra su(1,1). We determine the decomposition of these representations into ...
  • Quantum Boolean algebras 
    Diaz, R. (Algebra and Discrete Mathematics, 2017)
    We introduce quantum Boolean algebras which are the analogue of the Weyl algebras for Boolean affine spaces. We study quantum Boolean algebras from the logical and the set theoretical viewpoints.
  • Quantum-Classical Wigner-Liouville Equation 
    Kapral, R.; Sergi, A. (Український математичний журнал, 2005)
    We consider a quantum system that is partitioned into a subsystem and a bath. Starting from the Wigner transform of the von Neumann equation for the quantum-mechanical density matrix of the entire system, the quantum-classical ...
  • Quantum Cosmology from Group Field Theory Condensates: a Review 
    Gielen, S.; Sindoni, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We give, in some detail, a critical overview over recent work towards deriving a cosmological phenomenology from the fundamental quantum dynamics of group field theory (GFT), based on the picture of a macroscopic universe ...
  • Quantum Curve and the First Painlevé Equation 
    Iwaki, K.; Saenz, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that the topological recursion for the (semi-classical) spectral curve of the first Painlevé equation PI gives a WKB solution for the isomonodromy problem for PI. In other words, the isomonodromy system is a quantum ...

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