2,337 research outputs found
Quantum affine transformation group and covariant differential calculus
We discuss quantum deformation of the affine transformation group and its Lie
algebra. It is shown that the quantum algebra has a non-cocommutative Hopf
algebra structure, simple realizations and quantum tensor operators. The
deformation of the group is achieved by using the adjoint representation. The
elements of quantum matrix form a Hopf algebra. Furthermore, we construct a
differential calculus which is covariant with respect to the action of the
quantum matrix.Comment: LaTeX 22 pages OS-GE-34-94 RCNP-05
Laughlin states on the sphere as representations of Uq(sl(2))
We discuss quantum algebraic structures of the systems of electrons or
quasiparticles on a sphere of which center a magnetic monople is located on. We
verify that the deformation parameter is related to the filling ratio of the
particles in each case.Comment: 8 pages, Late
Generalized Arcsine Law and Stable Law in an Infinite Measure Dynamical System
Limit theorems for the time average of some observation functions in an
infinite measure dynamical system are studied. It is known that intermittent
phenomena, such as the Rayleigh-Benard convection and Belousov-Zhabotinsky
reaction, are described by infinite measure dynamical systems.We show that the
time average of the observation function which is not the function,
whose average with respect to the invariant measure is finite, converges to
the generalized arcsine distribution. This result leads to the novel view that
the correlation function is intrinsically random and does not decay. Moreover,
it is also numerically shown that the time average of the observation function
converges to the stable distribution when the observation function has the
infinite mean.Comment: 8 pages, 8 figure
Enhancement of the incretin pathway in response to bariatric surgery is important for restoration of beta cell function
ArticleDIABETOLOGIA. 52(2):374-375 (2009)journal articl
Regularized Renormalization Group Reduction of Symplectic Map
By means of the perturbative renormalization group method, we study a
long-time behaviour of some symplectic discrete maps near elliptic and
hyperbolic fixed points. It is shown that a naive renormalization group (RG)
map breaks the symplectic symmetry and fails to describe a long-time behaviour.
In order to preserve the symplectic symmetry, we present a regularization
procedure, which gives a regularized symplectic RG map describing an
approximate long-time behaviour succesfully
Isospectral Hamiltonians and algebra
We discuss a spectrum generating algebra in the supersymmetric quantum
mechanical system which is defined as a series of solutions to a specific
differential equation. All Hamiltonians have equally spaced eigenvalues, and we
realize both positive and negative mode generators of a subalgebra of
without use of negative power of raising/lowering operators of
the system. All features in the supersymmetric case are generalized to the
parasupersymmetric systems of order 2.Comment: 15 pages, LaTeX, one postscript figure available by request version
appearing in Prog. Theore. Phy
Neutrino Mass Textures with Maximal CP Violation
We have found three types of neutrino mass textures, which give maximal
CP-violation as well as maximal atmospheric neutrino mixing. These textures are
described by six real mass parameters: one specified by two complex flavor
neutrino masses and two constrained ones and the others specified by three
complex flavor neutrino masses. In each texture, we calculate mixing angles and
masses as well as Majorana CP phases.Comment: 10 pages, RevTex, no figures, references updated, version to appear
in Phys. Rev.
Chiral symmetry analysis and rigid rotational invariance for the lattice dynamics of single-wall carbon nanotubes
In this paper, we provide a detailed expression of the vibrational potential
for the lattice dynamics of the single-wall carbon nanotubes (SWCNT) satisfying
the requirements of the exact rigid translational as well as rotational
symmetries, which is a nontrivial generalization of the valence force model for
the planar graphene sheet. With the model, the low frequency behavior of the
dispersion of the acoustic modes as well as the flexure mode can be precisely
calculated. Based upon a comprehensive chiral symmetry analysis, the calculated
mode frequencies (including all the Raman and infrared active modes),
velocities of acoustic modes and the polarization vectors are systematically
fitted in terms of the chiral angle and radius, where the restrictions of
various symmetry operations of the SWCNT are fulfilled
Raman and Infra-red properties and layer dependence of the phonon dispersions in multi-layered graphene
The symmetry group analysis is applied to classify the phonon modes of
-stacked graphene layers (NSGL's) with AB- and AA-stacking, particularly
their infra-red and Raman properties. The dispersions of various phonon modes
are calculated in a multi-layer vibrational model, which is generalized from
the lattice vibrational potentials of graphene to including the inter-layer
interactions in NSGL's. The experimentally reported red shift phenomena in the
layer number dependence of the intra-layer optical C-C stretching mode
frequencies are interpreted. An interesting low frequency inter-layer optical
mode is revealed to be Raman or Infra-red active in even or odd NSGL's
respectively. Its frequency shift is sensitive to the layer number and
saturated at about 10 layers.Comment: enlarged versio
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