77,780 research outputs found
The Energy of the Gamma Metric in the M{\o}ller Prescription
We obtain the energy distribution of the gamma metric using the
energy-momentum complex of M{\o}ller. The result is the same as obtained by
Virbhadra in the Weinberg prescription
One dimensional strongly interacting Luttinger liquid of lattice spinless fermions
The spinless fermion model with hard core repulsive potential extended on a
few lattice sites is considered.The Luttinger liquid behaviour is studied for
the different values of a hard core radius. A critical exponent of the one
particle correlation function for arbitrary electron density and coupling
constant are obtained.Comment: 4 pages, 4 figures, Late
Spinless Calogero-Sutherland model with twisted boundary condition
In this work, the spinless Calogero-Sutherland model with twisted boundary
condition is studied. The ground state wavefunctions, the ground state
energies, the full energy spectrum are provided in details.Comment: preprint of ETH-L, appearing in recent PR
The low-energy theory for the Bose-Hubbard model and the normal ground state of bosons
A bosonic realization of the SU(2) Lie algebra and of its vector
representation is constructed, and an effective low-energy description of the
Bose-Hubbard model in the form of anisotropic theory of quantum rotors is
proposed and discussed. A possibility of a normal zero-temperature bosonic
phase with neither crystalline nor superfluid order around the tip of the
checkerboard-solid lobe at half-integer fillings is examined.Comment: 8 pages, LaTex, one postscript figur
Integrability of a disordered Heisenberg spin-1/2 chain
We investigate how the transition from integrability to nonintegrability
occurs by changing the parameters of the Hamiltonian of a Heisenberg spin-1/2
chain with defects. Randomly distributed defects may lead to quantum chaos. A
similar behavior is obtained in the presence of a single defect out of the
edges of the chain, suggesting that randomness is not the cause of chaos in
these systems, but the mere presence of a defect.Comment: 4 pages, 4 figure
Novel Scaling Behavior for the Multiplicity Distribution under Second-Order Quark-Hadron Phase Transition
Deviation of the multiplicity distribution in small bin from its
Poisson counterpart is studied within the Ginzburg-Landau description for
second-order quark-hadron phase transition. Dynamical factor for the distribution and ratio are defined, and
novel scaling behaviors between are found which can be used to detect the
formation of quark-gluon plasma. The study of and is also very
interesting for other multiparticle production processes without phase
transition.Comment: 4 pages in revtex, 5 figures in eps format, will be appeared in Phys.
Rev.
Third-Order Nonlinear Acoustic Instabilities in Combustion Chambers, Part II: Transverse Modes
An analytical analysis has been developed to investigate the behavior of unsteady transverse pressure oscillations
in combustion chambers. The model extends the previous analysis for the second-order standing wave motions and
accommodates spinning oscillations and third-order nonlinearities. The influences of various parameters and initial conditions on the limit cycles and triggering of pressure oscillations are discussed. Results indicate that the existence of spinning oscillations depends strongly on the number of modes included in the analysis and on the initial conditions. The third-order acoustics has little influence on the triggering of instability. It only modifies the characteristics of limiting amplitudes
Finite-Size Studies on the SO(5) Symmetry of the Hubbard Model
We present numerical evidence for the approximate SO(5) symmetry of the
Hubbard model on a 10 site cluster. Various dynamic correlation functions
involving the operators, the generators of the SO(5) algebra, are studied
using exact diagonalisation, and are found to possess sharp collective peaks.
Our numerical results also lend support on the interpretation of the recent
resonant neutron scattering peaks in the YBCO superconductors in terms of the
Goldstone modes of the spontaneously broken SO(5) symmetry.Comment: 4 pages, Rev-Tex, includes 2 eps figure
Combinatorial interpretation of Haldane-Wu fractional exclusion statistics
Assuming that the maximal allowed number of identical particles in state is
an integer parameter, q, we derive the statistical weight and analyze the
associated equation which defines the statistical distribution. The derived
distribution covers Fermi-Dirac and Bose-Einstein ones in the particular cases
q = 1 and q -> infinity (n_i/q -> 1), respectively. We show that the derived
statistical weight provides a natural combinatorial interpretation of
Haldane-Wu fractional exclusion statistics, and present exact solutions of the
distribution equation.Comment: 8 pages, 2 eps-figure
- …