We determine the equation of state of stoichiometric FeO by employing the diffusion Monte Carlo method. The fermionic nodes are fixed by a single Slater determinant of spin-unrestricted orbitals. The calculated ambient-pressure properties (lattice constant, bulk modulus, and cohesive energy) agree very well with available experimental data. At approximately 65 GPa, the atomic lattice changes fr...

We present a numerical study of mixed boson-fermion systems at zero temperature in isotropic and anisotropic harmonic traps. We investigate the phenomenon of component separation as function of the strength of the interparticle interaction. While solving a Gross-Pitaevskii mean field equation for the boson distribution in the trap, we utilize two different methods to extract the density profile...

where m = 0, 1, . . . labels angular momentum. For m = 1 the Laughlin state is just a Slater determinant for the filled lowest Landau level, but for higher m it is believed not to be a sum of any finite number of Slater determinants in the N →∞ limit. We explained the origin of this wavefunction using the pseudopotential approach introduced by Haldane: it is the maximum-density zero-energy stat...

Inspired by the universal approximation theorem and widespread adoption of artificial neural network techniques in a diversity fields, we propose feed-forward networks as general purpose trial wave function for quantum Monte Carlo simulations continous many-body systems. Whereas simple model systems whole can be represented network, antisymmetry condition non-trivial fermionic is incorporated m...

We introduce the notion of the cutting strip of an outside decomposition of a skew shape, and show that cutting strips are in one-to-one correspondence with outside decompositions for a given skew shape. Outside decompositions are introduced by Hamel and Goulden and are used to give an identity for the skew Schur function that unifies the determinantal expressions for the skew Schur functions i...

Slater JA, Lujan HL, DiCarlo SE. Does gender influence learning style preferences of first-year medical students? Adv Physiol Educ 31: 336–342, 2007; doi:10.1152/advan.00010.2007.—Students have specific learning style preferences, and these preferences may be different between male and female students. Understanding a student’s learning style preference is an important consideration when design...

Sets of non-intersecting, monotonic lattice paths, or xed routings, provide a common representation for several combinatorial problems and have been the key element for designing sampling algorithms. Markov chain algorithms based on routings have led to eecient samplers for tilings, Eulerian orientations 8] and triangulations 9], while an algorithm which successively calculates ratios of determ...

Precis: We discuss the behaviour of prices in an n-sector, circulating capital model with no joint production, of the type considered by Sraffa in Part I of his book. Instead of following Sraffa's approach, which uses the notion of proportions of labour to means of production in the various "layers" of means of production, we base our analysis directly on the characteristic roots and vectors of...

Some techniques of bilinearization of the non-autonomous 1 + 1 dimensional discrete soliton equations is discussed by taking the discrete KdV equation, the discrete Toda lattice equation, and the discrete LotkaVolterra equation as examples. Casorati determinant solutions to those equations are also constructed explicitly.

The Bethe theory of electron diffraction is used to calculate reflection electron diffraction intensities for mediiim and high energy electrons. A generalized Hill's determinant method is used for •he numencal calculations instead of the more common but slower matrix-eigenvalue technique. Results of a "systematics" calculation of the specular intensity as a function of incident angle are compar...