[PDF] Top 20 sigma10-069. 425KB Jun 04 2011 12:10:43 AM

... Noncommutative deformations of K¨ ahler geometry exhibit some extraordinary features, similar to those that appear in the description of n quantum harmonic oscillators by the noncommutative phase space C n . ... Lihat dokumen lengkap

... generalisations to quantum spacetime: the first becomes f ⊗ g 7→ f ⋆ g, while the second can be given a meaning by sending the differences q j − q k to their minimum, compatibly with positivity (i.e. uncertainty ... Lihat dokumen lengkap

... Intermediate class of models – quasi-exactly-solvable (QES) potentials (or, partially sol- vable) – became interesting during last years. This notion concerns models for which only a part of spectrum and corresponding ... Lihat dokumen lengkap

... We can follow a similar route to construct the relevant non-commutative space associated to Snyder space-time. The Snyder deformation will be based on the decomposition SO(p − 1, 1) ∼ L . SO(p − 1, 1), where L is not a ... Lihat dokumen lengkap

... Key words: Dixmier trace; singular trace; noncommutative integration; noncommutative geometry; Lebesgue integral; noncommutative residue 2010 Mathematics Subject Classification: 46L51; [r] ... Lihat dokumen lengkap

... Fuzzy two-sphere introduced by Madore [1] was a typical and important fuzzy manifold where particular notions of fuzzy geometry have been cultivated. In subsequent explorations of fuzzy geometry, higher dimensional and ... Lihat dokumen lengkap

... Calogero and Eckhaus then showed that a necessary condition for the S-integrability of a dispersive nonlinear partial differential equation is that its multiple scale expansion around a [r] ... Lihat dokumen lengkap

... This modification is, in fact, needed for the compact worldsheet [10]. When calculating the Feynman propagator on the worldsheet, such a divergent term in the Green function appears as an IR cut off, sometimes ... Lihat dokumen lengkap

... 5.3 Modular non-commutative geometry in physics Despite the fact that most, of the literature on non-commutative geometry is actually heavily motivated or directly inspired by physics H[r] ... Lihat dokumen lengkap

... Cluster algebras [9] are another form of discrete dynamical systems. They describe a specific type of evolution, called mutation, of a set of variables or cluster seed. Mutations are rational, subtraction-free ... Lihat dokumen lengkap

... where we assume r, s ∈ N , r + s odd, and ω 1 , ω 2 > 0. This type of Hamiltonians, which represent a natural generalization of the quantum Henon–Heiles model, has been studied also in [11, 12]. We will analyze ... Lihat dokumen lengkap

... Using thisZ-algebra we describe Hermitian irreducible representations of a discrete series for the noncompact quantum algebraUqun,1 which is a real form of Uqgln+ 1, namely, an orthono[r] ... Lihat dokumen lengkap

... [30, 25, 10, 29] and is compounded of principal, complementary, and discrete series. Note that the de Sitter group has no unitary irreducible representation (UIR) analogous to the so-called “massless infinite ... Lihat dokumen lengkap

... B¨ acklund transformations are a prominent tool in the theory of integrable systems and soliton theory. Historically they appeared first in the works of Bianchi [1] and B¨ acklund [2] on surfaces of constant curvature ... Lihat dokumen lengkap

... Abel–Jacobi map, Jacobi inversion modified Kerov–Kirillov–Reshetikhin bijection Riemann theta function charge of extended rigged configuration Here the Kerov–Kirillov–Reshetikhin KKR b[r] ... Lihat dokumen lengkap

... maps the region |λ| ≥ M and | arg(λ)| ≤ ε for some large M > 0 and small ε > 0 onto a region that contains the positive imaginary axis near infinity. Also, H(a, ·) is analytic in the region |λ| ≥ M and | arg(λ)| ≤ ... Lihat dokumen lengkap

... Douglas curvature is a non-Riemannian projective invariant constructed from the Berwald curva- ture. The notion of Douglas curvature was proposed by B´ acs´ o and Matsumoto as a generalization of Berwald curvature [4]. ... Lihat dokumen lengkap

... Since NC geometry turns out to be useful tool for reformulation and investigation of some problems in classical and quantum mechanics [10, 11, 12, 12, 14, 15, 16] as well as in QFT [17], there are ... Lihat dokumen lengkap

... The mechanical analogue system of field theoretical models with N scalar fields has N degrees of freedom and the system of N motion ODE’s is rarely integrable. One may analytically find the solitary waves in field ... Lihat dokumen lengkap

... [10] Foulis D.J., Bennett M.K., Effect algebras and unsharp quantum logics, Found. Phys. 24 (1994), 1331–1352. [11] Foulis D.J., Effects, observables, states, and symmetries in physics, Found. Phys. 37 (2007), ... Lihat dokumen lengkap