552 research outputs found
A Reactive and Efficient Walking Pattern Generator for Robust Bipedal Locomotion
Available possibilities to prevent a biped robot from falling down in the
presence of severe disturbances are mainly Center of Pressure (CoP) modulation,
step location and timing adjustment, and angular momentum regulation. In this
paper, we aim at designing a walking pattern generator which employs an optimal
combination of these tools to generate robust gaits. In this approach, first,
the next step location and timing are decided consistent with the commanded
walking velocity and based on the Divergent Component of Motion (DCM)
measurement. This stage which is done by a very small-size Quadratic Program
(QP) uses the Linear Inverted Pendulum Model (LIPM) dynamics to adapt the
switching contact location and time. Then, consistent with the first stage, the
LIPM with flywheel dynamics is used to regenerate the DCM and angular momentum
trajectories at each control cycle. This is done by modulating the CoP and
Centroidal Momentum Pivot (CMP) to realize a desired DCM at the end of current
step. Simulation results show the merit of this reactive approach in generating
robust and dynamically consistent walking patterns
Effective field theories for baryons with two- and three-heavy quarks
Baryons made of two or three heavy quarks can be described in the modern
language of non-relativistic effective field theories. These, besides allowing
a rigorous treatment of the systems, provide new insight in the nature of the
three-body interaction in QCD.Comment: 7 pages, 1 figure; published versio
Flavor independent systematics of excited baryons and intra-band transition
Transitions among excited nucleons are studied within a non-relativistic
quark model with a deformed harmonic oscillator potential. The transition
amplitudes are factorized into the -th moment and a geometrical factor. This
fact leads to an analogous result to the ``Alaga-rule'' for baryons.Comment: 4 Pages, 2 figures, Talk given at XVI International Conference on
Particles and Nuclei (PaNic02), Osaka, Japan, Sep.30 - Oct.4, 200
Isolated Eigenvalues of the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions
We investigate the low-lying excited states of the spin J ferromagnetic XXZ
chain with Ising anisotropy Delta and kink boundary conditions. Since the third
component of the total magnetization, M, is conserved, it is meaningful to
study the spectrum for each fixed value of M. We prove that for J>= 3/2 the
lowest excited eigenvalues are separated by a gap from the rest of the
spectrum, uniformly in the length of the chain. In the thermodynamic limit,
this means that there are a positive number of excitations above the ground
state and below the essential spectrum
Model-independent Study of Electric Dipole Transitions in Quarkonium
The paper contains a systematic, model-independent treatment of electric
dipole (E1) transitions in heavy quarkonium. Within the effective field theory
framework of potential non-relativistic QCD (pNRQCD), we derive the complete
set of relativistic corrections of relative order v^2 both for weakly and
strongly-coupled quarkonia. The result supports and complements former results
from potential model calculations.Comment: 42 pages, 9 figure
Takahashi Integral Equation and High-Temperature Expansion of the Heisenberg Chain
Recently a new integral equation describing the thermodynamics of the 1D
Heisenberg model was discovered by Takahashi. Using the integral equation we
have succeeded in obtaining the high temperature expansion of the specific heat
and the magnetic susceptibility up to O((J/T)^{100}). This is much higher than
those obtained so far by the standard methods such as the linked-cluster
algorithm. Our results will be useful to examine various approximation methods
to extrapolate the high temperature expansion to the low temperature region.Comment: 5 pages, 4 figures, 2 table
Exact solutions of domain wall and spiral ground states in Hubbard models
We construct a set of exact ground states with a localized ferromagnetic
domain wall and an extended spiral structure in a deformed flat-band Hubbard
model. In the case of quarter filling, we show the uniqueness of the ground
state with a fixed magnetization. We discuss more realistic situation given by
a band-bending perturbation, which can stabilize these curious structures. We
study the scattering of a conduction electron by the domain wall and the spiral
spins.Comment: 4 pages, 2 figures. To be published in J. Phys. Soc. Jpn. 73 (2004
On the density matrix for the kink ground state of higher spin XXZ chain
The exact expression for the density matrix of the kink ground state of
higher spin XXZ chain is obtained
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