Search results for "Hamiltonian"
showing 10 items of 662 documents
Spin and charge orderings in the atomic limit of the U-V-J model
2011
In this paper we study a generalization of the 1D Hubbard model by considering density-density and Ising-type spin-spin nearest neighbor (NN) interactions, parameterized by $V$ and $J$, respectively. We present the T=0 phase diagram for both ferro ($J>0$) and anti-ferro ($J<0$) coupling obtained in the narrow-band limit by means of an extension to zero-temperature of the transfer-matrix method. Based on the values of the Hamiltonian parameters, we identify a number of phases that involve orderings of the double occupancy, NN density and spin correlations, being these latter very fragile.
Comparison between the fCCZ4 and BSSN formulations of Einstein equations in spherical polar coordinates
2015
Recently, we generalized a covariant and conformal version of the Z4 system of the Einstein equations using a reference metric approach, that we denote as fCCZ4. We successfully implemented and tested this approach in a 1D code that uses spherical coordinates and assumes spherical symmetry, obtaining from one to three orders of magnitude reduction of the Hamiltonian constraint violations with respect to the BSSN formulation in tests involving neutron star spacetimes. In this work, we show preliminary results obtained with the 3D implementation of the fCCZ4 formulation in a fully 3D code using spherical polar coordinates.
Polarons in thet-J model
1991
A convenient form of the Peierls-Hubbard Hamiltonian is obtained for the case when the Hubbard repulsion is the largest energy parameter. It allows to consider in the spin-wave approximation the properties of the one-hole low-lying excitations of a 2d lattice. For the parameters approximately corresponding to La2CuO4 it is shown that the hole polarons in the CuO2 planes of lightly doped samples are of large size with a solitonlike-shaped highly asymmetric wave function oriented along the diagonals of the planes or of small size depending on the value of the electron-phonon coupling. In both cases the cooperative effect of the electron-phonon and electron-magnon interactions leads to a large…
The hot bands of silane between 2120 and 2270cm−1
2005
Abstract The infrared spectrum of the SiH 4 molecule has been recorded between 2040 and 2320 cm −1 using the high-resolution Fourier interferometer of the Laboratoire de Photophysique Moleculaire ( Orsay , France ). The resolution was 5.4 × 10 −3 cm −1 . In this region, many lines were previously analyzed and assigned to the ν 1 / ν 3 stretching dyad of 28 SiH 4 , 29 SiH 4 , and 30 SiH 4 molecules [J. Mol. Spectrosc. 143 (1990) 35]. However, several lines in the spectrum were not assigned. The results obtained in our previous study [J. Mol. Spectrosc. 197 (1999) 307] of the infrared spectrum of 28 SiH 4 , in the bending-stretching tetrad region at 3100 cm −1 , enabled us to assign 204 of t…
High-resolution IR spectrum of AsH2D: Ro-vibrational analysis of the bending triad bands , , and
2008
Abstract The infrared spectrum of the AsH2D molecule has been measured in the region of the three bending fundamental bands on a Fourier transform spectrometer with a resolution of 0.0024 cm−1 and analyzed for the first time. More than 7500 normally allowed and in addition about 600 forbidden, but perturbation-activated transitions with J max = 21 , K a max = 20 and K c max = 21 have been assigned to the bands ν 3 , ν 4 , and ν 6 . The measured transition wavenumbers were used to determine 1047 upper energy values. These energies were fitted with a Watson-type Hamiltonian in A reduction and IIIl representation taking into account resonance interactions between all three bending states, (001…
Analysis of the Infrared Fourier Transform Spectrum of the Spectra of Silane in the Range 2930-3300 cm(-1).
1999
The infrared spectrum of (28)SiH(4) between 2930 and 3300 cm(-1) was recorded using the Laboratoire de Physique Moleculaire et Applications (LPMA.) Fourier transform spectrometer. The instrumental response function width chosen makes it possible to obtain a Doppler-limited spectrum. The observed spectrum belongs to the tetrad built with one quantum of stretching mode (nu(1) or nu(3)) and one quantum of bending mode (nu(2) or nu(4)). The excited states are formed from eight vibrational sublevels: nu(1) + nu(2)(E), nu(1) + nu(4)(F(2)), nu(2) + nu(3)(F(1) + F(2)), and nu(3) + nu(4)(A(1) + E + F(1) + F(2)). The intricacy of the upper states was resolved using the variations of the line strength…
High-Resolution Spectroscopy and Preliminary Analysis of the ν1/ν8 Dyad of SF535Cl
2001
Abstract The Fourier transform infrared spectrum of monoisotopic SF 5 35 Cl has been recorded in the 650- to 960-cm −1 region at a temperature of 203 K, a pressure of 0.2 mbar, and an instrumental bandwidth of 0.002 cm −1 . The ν 1 /ν 8 dyad near 900 cm −1 has been analyzed with an effective Hamiltonian developed up to the fourth order and the help of a recently developed set of programs called C 4 v TDS ( C 4 v Top Data System, http://www.u-bourgogne.fr/LPUB/C4VTDS.html ); 1346 transitions for ν 1 , 351 transitions for ν 8 , and 406 ground state combination differences have been assigned and fitted. A global fit has been obtained with an rms of 0.00082 cm −1 for the ν 1 ( a 1 ) band, of 0.…
Preliminary analysis of the pentad of 13CH4 from Raman and infrared spectra
1991
Abstract Preliminary results on the simultaneous analysis of infrared and Raman data of 13 CH 4 in the 3-μm region ( ν 1 , ν 3 , 2 ν 2 , ν 2 + ν 4 , and 2 ν 4 ) are presented. The infrared spectrum of 13 CH 4 (90% enriched) has been recorded with the Fourier transform spectrometer at Kitt Peak National Observatory. Line positions have been measured with a relative accuracy of 0.0001 cm −1 (for well-isolated lines) using 0.0118-cm −1 resolution spectra. In order to compensate for the lack of infrared information about low J transitions of vibrational bands forbidden in infrared, two spectra of the ν 1 ( A 1 ) and 2 ν 2 ( A 1 ) Q branches have been recorded in Dijon by inverse Raman spectrosc…
Analysis of the infrared Fourier transform spectrum of the Dyad of 116SnH4
1990
Abstract The FTIR spectrum of monoisotopic 116SnH4 has been recorded with the Bruker 120 HR interferometer at Giessen, West Germany, in the ν 2 ν 4 range extending from 600 to 850 cm−1. The resolution (FWHM) was 2.1 × 10−3 cm−1. The Dyad ν 2 ν 4 (0100, 0001) was analyzed using a sixth-order Hamiltonian. The analysis of infrared transitions enabled us to determine 10 ground state parameters, 9 ν2 parameters, 17 ν4 parameters, and 18 interaction parameters. Of 3800 calculated transitions assigned to observed lines, 1183 unblended lines have been selected for the data refinement. For J ≤ 19, the value of the standard deviation is of the order of magnitude of the estimated experimental accuracy…
Gauge-invariant proper self-energies and vertices in gauge-theories with broken symmetry
1990
Using the pinch technique, we show how to recover, from the {ital S} matrix of a spontaneously broken non-Abelian gauge theory, proper self-energies and vertices which are fully gauge invariant when one or more momenta are off shell. Explicit calculations are carried out at the one-loop level for gauge-boson self-energies and fermion--gauge-boson vertices in a simple SU(2) gauge theory with a Higgs boson. The same technique allows us to calculate, at one-loop order, a neutrino electromagnetic form factor which is gauge invariant at all photon momenta, thus resolving a long-standing problem. We show how massless Goldstone bosons, not present in the {ital S} matrix, must be introduced into Gr…