Diverging exchange force and form of the exact density matrix functional

Dec 23, 2023

340 likes | 345 Vues

This article introduces the concept of RDMFT and explores its geometric interpretation in translationally-invariant systems. It covers applications in solid state physics and ultracold fermionic atoms, with a specific illustration of the Hubbard square. The article concludes with an outlook and open problems in the field.

Share Presentation

Embed Code

anitawilliams

Télécharger la présentation

Diverging exchange force and form of the exact density matrix functional

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

Diverging exchange force and form of the • exact density matrix functional
Outline (I) Introduction into RDMFT (II) Geometric picture underlying RDMFT Translationally-invariant systems (solid state physics, ultracold fermionic atoms)
(I) Introduction into RDMFT

(II) Geometric picture underlying RDMFT

Translationally-invariant systems

Application/Illustration: Hubbard square

Summary and Conclusion
Outlook and open Problems
Thankyou!

Functional Form and Dynamic Models

Functional Form and Dynamic Models. Introduction. Discuss the importance of functional form Examine the Ramsey Reset Test for Functional Form Describe the use of lags in econometric models Evaluate the Koyk transformation as a means of overcoming some of the problems of lagged variables.

1.3k views • 27 slides

2.4 Units of Measurement and Functional Form

2.4 Units of Measurement and Functional Form. -Two important econometric issues are: 1) Changing measurement -When does scaling variables have an effect on OLS estimates? -When does scaling variables have no effect on OLS estimates? 2) Functional Forms

715 views • 36 slides

Density Functional Theory

DFT allows to get information about the energy, the structure and the molecular properties of molecules at lower costs that traditions approaches based on the wavefunction use.. Density functional theory (DFT) has revolutionized the quantun chemistry development of the last 20 years. DFT Publication

1.35k views • 82 slides

FUNctional Form

FUNctional Form. Adding forms of nonlinearity to Regression Models. Getting to know your data. You need to have a basic “feel” for your data to know how to analyze it. Two things you should do before you analyze: Summary statistics (general characteristics) Graphic views of data.

400 views • 38 slides

The density matrix renormalization group

The density matrix renormalization group. Adrian Feiguin. Some literature.

1.7k views • 75 slides

Fundamentals of Density Functional Theory

Fundamentals of Density Functional Theory. Walter Kohn Physics-Chemistry University of California, Santa Barbara. Santa Barbara, CA 93106. kohn@physics.ucsb.edu. Introduction.

549 views • 13 slides

UNEDF1 Energy Density Functional

UNEDF1 Energy Density Functional. M. Kortelainen , J . Moré , J. McDonnell, W. Nazarewicz , P .-G. Reinhart, J. Sarich , N. Schunck. M. V. Stoitsov , S. Wild. Lawrence Livermore National Laboratory, P. O. Box 808, Livermore, CA 94551.

290 views • 19 slides

Linear Functional Form

Linear Functional Form. Y = β 0 + β 1 X 1 + β 2 X 2 + ε Slope = β 1 Impact of X 1 on Y is independent of the quantity of X 2 . Elasticity = β 1 * [X 1/ Y]. Double-Log Functional Form. What if you wished to estimate the following model? Y = β 0 X 1 β1 X 2 β2

462 views • 17 slides

Density Functional Theory And Time Dependent Density Functional Theory

Density Functional Theory And Time Dependent Density Functional Theory . (DFT & TDFT). PRESENTED TO: DR.IRFAN. PRESENTED BY: MALEEHA QASIM MUHAMMAD ZAIN AKRAM. Background:. 1920s : Introduction of the Thomas-Fermi model. 1964 : Hohenberg-Kohn paper proving existence of exact DF.

1.21k views • 36 slides

Density Functional Theory (DFT)

Density Functional Theory (DFT). DFT is an alternative approach to the theory of electronic structure; electron density plays a central role in DFT. Why a new theory?. HF method scales as K 4 (K - # of basis functions) CI methods scale as K 6 -K 10 MPn methods scale as >K 5

3.6k views • 17 slides

Density Functional Theory

Density Functional Theory. 15.11.2006. 1920. 1940. 1960. 1980. 2000. 2020. 1900. A long way in 80 years. L. de Broglie – Nature 112, 540 (1923). E. Schrodinger – 1925, …. Pauli exclusion Principle - 1925. Fermi statistics - 1926. Thomas-Fermi approximation – 1927

670 views • 13 slides

Form of Government Task Force

Form of Government Task Force. Presbytery of Eastern Oklahoma Claremore, OK 2 March 2010. FOG Task Force Web Site www.pcusa.org/formofgovernment. Translations. Translations into Spanish and Korean have recently been completed They are now online. Goal of our Proposal.

312 views • 23 slides

Density functional study of magnetic solids Spin exchange interactions and magnetic properties

Density functional study of magnetic solids Spin exchange interactions and magnetic properties M.-H. Whangbo Deparetment of Chemistry North Carolina State University. NCSU: Yuemei Zhang Chuan Tian Jinhee Kang Dr. Changhoon Lee Dr. Erjun Kan Dr. Fang Wu

701 views • 45 slides

Global fitting of pairing density functional; the isoscalar-density dependence revisited

Global fitting of pairing density functional; the isoscalar-density dependence revisited. Masayuki YAMAGAMI ( University of Aizu ). Motivation. Construction of energy density functional for description of static and dynamical properties across the nuclear chart.

273 views • 16 slides

Is Your Layout Density Verification Exact ?

Is Your Layout Density Verification Exact ?. Hua Xiang * , Kai-Yuan Chao ‡ , Ruchir Puri * and D.F. Wong + * IBM T.J. Watson Research Center + Univ. of Illinois at Urbana-Champaign ‡ Intel Corporation. Density Calculation.

231 views • 14 slides

Observation functional An exact generalization of DFT

Observation functional An exact generalization of DFT. Philippe CHOMAZ - GANIL. States, observables, observations Variational principles Generalized mean-Field Hartree-Fock Hierarchies and fluctuations Exact generalized density functional Exact generalized Kohn-Sham Eq. 1.

302 views • 17 slides

Lecture Density Matrix Formalism

Lecture Density Matrix Formalism A tool used to describe the state of a spin ensemble, as well as its evolution in time. The expectation value X-component of the magnetic moment of nucleus A: Where  is the wave function and is a linear combination of the eigenstates of the form:

453 views • 12 slides

Symmetries and structure of the nuclear pairing energy density functional

Symmetries and structure of the nuclear pairing energy density functional. Aurel Bulgac. A significant part of the results presented here were obtained in collaboration with my graduate student Yongle Yu. Transparencies available at http://www.phys.washington.edu/~bulgac

430 views • 33 slides

Functional Form and Dynamic Models

284 views • 27 slides

Statistical mechanics/Density Matrix

521 views • 28 slides

Density Functional Theory

334 views • 13 slides

More Related