نتایج جستجو برای: slater determinant

تعداد نتایج: 49507  

2000
J. F. Markham

In lattice QCD calculation, evaluating the fermion determinant is computationally expensive and as a consequence detM is often not evaluated and is simply set equal to a constant. This is called the quenched approximation and amounts to neglecting internal fermion loops. The goal of this work is to study the systematic error introduced by quenching and to compensate for quenching errors by cons...

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2000
Boyd Alex Brown

The Mean-Field (MF) and Shell-Model Configuration-Mixing (SMCM) methods are two microscopic approaches for calculating the nuclear masses which are complementary to each other. However, one usually finds them used in isolation from each other. In this talk I will review the strengths of these methods as well as their limitations. They are contrasted by the type of data which are used to constra...

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2008
K. Splittorff

In this lecture we discuss various aspects of QCD at nonzero chemical potential, including its phase diagram and the Dirac spectrum, and summarize what chiral random matrix theory has contributed to this subject. To illustrate the importance of the phase of the fermion determinant, we particularly highlight the differences between QCD and phase quenched QCD.

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1999
C. Alexandrou

The fermion determinant which results after integration of the fermions leads to non-local interactions among the gauge links Ux,μ making the cost for updating all links grow naively like O(V ), where V is the lattice volume. In the Hybrid Monte Carlo (HMC) algorithm, which is the standard method of numerical simulations with dynamical fermions, one uses an auxiliary bosonic pseudo-fermion fiel...

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2012
Dhvanit I. Shah Naoko Takahashi-Makise Jeffrey D. Cooney Liangtao Li Iman J. Schultz Eric L. Pierce Anupama Narla Alexandra Seguin Shilpa M. Hattangadi Amy E. Medlock Nathaniel B. Langer Tamara A. Dailey Slater N. Hurst Danilo Faccenda Jessica M. Wiwczar Spencer K. Heggers Guillaume Vogin Wen Chen Caiyong Chen Dean R. Campagna Carlo Brugnara Yi Zhou Benjamin L. Ebert Nika N. Danial Mark D. Fleming Diane M. Ward Michelangelo Campanella Harry A. Dailey Jerry Kaplan Barry H. Paw

Dhvanit I. Shah, Naoko Takahashi-Makise, Jeffrey D. Cooney{, Liangtao Li, Iman J. Schultz{, Eric L. Pierce{, Anupama Narla, Alexandra Seguin, Shilpa M. Hattangadi{, Amy E. Medlock, Nathaniel B. Langer{, Tamara A. Dailey, Slater N. Hurst, Danilo Faccenda, Jessica M. Wiwczar{, Spencer K. Heggers, Guillaume Vogin{, Wen Chen{, Caiyong Chen, Dean R. Campagna, Carlo Brugnara, Yi Zhou, Benjamin L. Ebe...

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2007
FRITZ GESZTESY MARIUS MITREA

We explore the extent to which a variant of a celebrated formula due to Jost and Pais, which reduces the Fredholm perturbation determinant associated with the Schrödinger operator on a half-line to a simple Wronski determinant of appropriate distributional solutions of the underlying Schrödinger equation, generalizes to higher dimensions. In this multi-dimensional extension, the half-line is re...

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2013
Joao Alves Ant'onio Bravo Henrique Oliveira

Abstract Infinite Leslie matrices are studied. The purely linear algebraic concept of weighed kneading determinant is introduced to solve linear difference equations associated with Leslie matrices. The method applies both to finite and infinite matrices. In the finite case this technique simplifies the computations. The asymptotic properties of the solutions are established using the positive ...

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1998
Alan C. Irving

We argue that lattice simulations of full QCD with varying quark mass are best conducted at fixed lattice spacing rather than at fixed β. We present techniques which enable this to be carried out effectively, namely the tuning in bare parameter space and efficient stochastic estimation of the fermion determinant. Results and tests of the method are presented. We discuss other applications of su...

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2006
Gerd Bergmann

An approximate ground state of the Anderson-Friedel impurity problem is presented in a very compact form. It requires solely the optimization of two localized electron states and consists of four Slater states Slater determinants . The resulting singlet ground-state energy lies far below the Anderson mean-field solution and agrees well with the numerical results by Gunnarsson and Schönhammer, w...

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1996
ZUOWEI SHEN

This paper gives a practical method of extending an nr matrix P (z), r n, with Laurent polynomial entries in one complex variable z, to a square matrix also with Laurent polynomial entries. If P (z) has orthonormal columns when z is restricted to the torus T, it can be extended to a paraunitary matrix. If P (z) has rank r for each z 2 T, it can be extended to a matrix with nonvanishing determin...

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