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Introduction to modern methods of quantum many-body theory and their applications [[electronic resource] /] / editors, Adelchi Fabrocini, Stefano Fantoni, Eckhard Krotscheck
Introduction to modern methods of quantum many-body theory and their applications [[electronic resource] /] / editors, Adelchi Fabrocini, Stefano Fantoni, Eckhard Krotscheck
Pubbl/distr/stampa River Edge, NJ, : World Scientific, c2002
Descrizione fisica 1 online resource (428 p.)
Disciplina 530.14/4
Altri autori (Persone) FabrociniA
FantoniS (Stefano)
KrotscheckEckhard
Collana Series on advances in quantum many-body theory
Soggetto topico Many-body problem
Soggetto genere / forma Electronic books.
ISBN 981-277-707-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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
Record Nr. UNINA-9910458625303321
River Edge, NJ, : World Scientific, c2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to modern methods of quantum many-body theory and their applications [[electronic resource] /] / editors, Adelchi Fabrocini, Stefano Fantoni, Eckhard Krotscheck
Introduction to modern methods of quantum many-body theory and their applications [[electronic resource] /] / editors, Adelchi Fabrocini, Stefano Fantoni, Eckhard Krotscheck
Pubbl/distr/stampa River Edge, NJ, : World Scientific, c2002
Descrizione fisica 1 online resource (428 p.)
Disciplina 530.14/4
Altri autori (Persone) FabrociniA
FantoniS (Stefano)
KrotscheckEckhard
Collana Series on advances in quantum many-body theory
Soggetto topico Many-body problem
ISBN 981-277-707-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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
Record Nr. UNINA-9910784869303321
River Edge, NJ, : World Scientific, c2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to modern methods of quantum many-body theory and their applications [[electronic resource] /] / editors, Adelchi Fabrocini, Stefano Fantoni, Eckhard Krotscheck
Introduction to modern methods of quantum many-body theory and their applications [[electronic resource] /] / editors, Adelchi Fabrocini, Stefano Fantoni, Eckhard Krotscheck
Pubbl/distr/stampa River Edge, NJ, : World Scientific, c2002
Descrizione fisica 1 online resource (428 p.)
Disciplina 530.14/4
Altri autori (Persone) FabrociniA
FantoniS (Stefano)
KrotscheckEckhard
Collana Series on advances in quantum many-body theory
Soggetto topico Many-body problem
ISBN 981-277-707-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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
Record Nr. UNINA-9910810695803321
River Edge, NJ, : World Scientific, c2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui