Introduction to modern methods of quantum many-body theory and their applications / editors, Adelchi Fabrocini, Stefano Fantoni, Eckhard Krotscheck.

Format:

Book

Conference/Event

Contributor:

Fabrocini, A.

Fantoni, S. (Stefano)

Krotscheck, Eckhard.

Conference Name:

European Summer School on Microscopic Many-Body Theories and their Applications (2nd : 2001 : Miramare, Italy)

Series:

Series on advances in quantum many-body theory ; v. 7.

Series on advances in quantum many-body theory ; v. 7

Language:

English

Subjects (All):

Many-body problem--Congresses.

Many-body problem.

Physical Description:

1 online resource (428 p.)

Edition:

1st ed.

Place of Publication:

River Edge, NJ : World Scientific, c2002.

Language Note:

English

Summary:

This invaluable book contains pedagogical articles on the dominant nonstochastic methods of microscopic many-body theories - the methods of density functional theory, coupled cluster theory, and correlated basis functions - in their widest sense. Other articles introduce students to applications of these methods in front-line research, such as Bose-Einstein condensates, the nuclear many-body problem, and the dynamics of quantum liquids. These keynote articles are supplemented by experimental reviews on intimately connected topics that are of current relevance. The book addresses the striking

Contents:

CONTENTS ; PREFACE ; Chapter 1 DENSITY FUNCTIONAL THEORY ; 1. Introduction ; 1.1. Units and notation ; 1.2. Hartree-Fock theory ; 1.3. Homogeneous electron gas ; 1.3.1. Free electrons ; 1.3.2. Exchange energy ; 2. What is density functional theory? ; 2.1. Hohenberg-Kohn theorem

2.2. A simple example: the Thomas-Fermi theory 2.2.1. Variational equation of Thomas-Fermi theory ; 2.2.2. Thomas-Fermi atom ; 2.2.3. An example ; 3. Kohn-Sham theory ; 3.1. Local density approximation ; 3.2. Spin and the local spin density approximation

3.3. The generalized gradient approximation 4. Numerical methods for the Kohn-Sham equation ; 4.0.1. Exact exchange ; 4.0.2. 0(N) methods ; 5. Some applications and limitations of DFT ; 5.1. Two examples of condensed matter ; 5.2. Vibrations ; 5.3. NMR chemical shifts

6. Limitations of DFT 7. Time-dependent density functional theory: the equations ; 7.1. Optical properties ; 7.1.1. f-sum rule ; 7.2. Methods to solve the TDDFT equations ; 7.2.1. Linear response formula ; 7.3. Dynamic polarizability ; 7.4. Dielectric function

8. TDDFT: numerical aspects 8.1. Configuration matrix method ; 8.2. Linear response method ; 8.3. Sternheimer method ; 8.4. Real time method ; 9. Applications of TDDFT ; 9.1. Simple metal clusters ; 9.2. Carbon structures ; 9.3. Diamond ; 9.4. Other applications

9.5. Limitations

Notes:

Lecture notes of the second European Summer School on Microscopic Quantum Many-Body Theories and their Applications, held in Miramare, Trieste, Italy, on September 3-14, 2001.

Includes bibliographical references and indexes.

ISBN:

9789812777072

9812777075

OCLC:

879023697