Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
Microscopic approaches to quantum liquids in confined geometries [[electronic resource] /] / editors, Eckhard Krotscheck, Jesus Navarro
| Microscopic approaches to quantum liquids in confined geometries [[electronic resource] /] / editors, Eckhard Krotscheck, Jesus Navarro |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 532 |
| Altri autori (Persone) |
KrotscheckEckhard
NavarroJesús <1949-> |
| Collana | Series on advances in quantum many-body theory |
| Soggetto topico |
Many-body problem
Quantum liquids |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-847-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 HELIUM LIQUIDS IN CONFINED GEOMETRIES ; 1. Introduction ; 2. General observations on confined and inhomogeneous liquid helium ; 3. Droplets ; 4. Films ; 5. Other systems of recent interest ; 6. Theories ; 7. Conclusions ; References
Chapter 2 MONTE CARLO SIMULATIONS AT ZERO TEMPERATURE: HELIUM IN ONE, TWO, AND THREE DIMENSIONS1. Monte Carlo methods and condensed helium ; 2. Monte Carlo methods at zero temperature ; 2.1. Variational Monte Carlo ; 2.2. Diffusion Monte Carlo ; 3. Diffusion Monte Carlo in Fermi systems ; 3.1. Fixed node ; 3.2. Released node 3.3. Analytic improvement of the trial wave function 3.4. A combined strategy ; 4. Preliminary considerations for a DMC calculation of liquid 4He; 4.1. Inputs and consistency checks in the DMC calculations ; 4.2. Unbiased estimators ; 5. Bulk liquid 4He: ground-state and excitations; 5.1. Equation of state and other ground-state properties 5.2. Excited states: phonon-roton spectrum 6. Two-dimensional liquid 4He ; 6.1. Ground-state properties ; 6.2. Vortex excitation ; 7. One-dimensional liquid 4He; 8. Bulk liquid 3He ; 9. Two-dimensional 3He ; 10. Concluding remarks ; References Chapter 3 THE FINITE-TEMPERATURE PATH INTEGRAL MONTE CARLO METHOD AND ITS APPLICATION TO SUPERFLUID HELIUM CLUSTERS 1. Introduction ; 2. Theory ; 2.1. General formulation ; 2.2. Density matrix evaluation ; 2.3. Multilevel Metropolis algorithm 2.4. Estimators for some physical quantities |
| Record Nr. | UNINA-9910450903003321 |
| River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Microscopic approaches to quantum liquids in confined geometries [[electronic resource] /] / editors, Eckhard Krotscheck, Jesus Navarro
| Microscopic approaches to quantum liquids in confined geometries [[electronic resource] /] / editors, Eckhard Krotscheck, Jesus Navarro |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 532 |
| Altri autori (Persone) |
KrotscheckEckhard
NavarroJesús <1949-> |
| Collana | Series on advances in quantum many-body theory |
| Soggetto topico |
Many-body problem
Quantum liquids |
| ISBN | 981-277-847-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 HELIUM LIQUIDS IN CONFINED GEOMETRIES ; 1. Introduction ; 2. General observations on confined and inhomogeneous liquid helium ; 3. Droplets ; 4. Films ; 5. Other systems of recent interest ; 6. Theories ; 7. Conclusions ; References
Chapter 2 MONTE CARLO SIMULATIONS AT ZERO TEMPERATURE: HELIUM IN ONE, TWO, AND THREE DIMENSIONS1. Monte Carlo methods and condensed helium ; 2. Monte Carlo methods at zero temperature ; 2.1. Variational Monte Carlo ; 2.2. Diffusion Monte Carlo ; 3. Diffusion Monte Carlo in Fermi systems ; 3.1. Fixed node ; 3.2. Released node 3.3. Analytic improvement of the trial wave function 3.4. A combined strategy ; 4. Preliminary considerations for a DMC calculation of liquid 4He; 4.1. Inputs and consistency checks in the DMC calculations ; 4.2. Unbiased estimators ; 5. Bulk liquid 4He: ground-state and excitations; 5.1. Equation of state and other ground-state properties 5.2. Excited states: phonon-roton spectrum 6. Two-dimensional liquid 4He ; 6.1. Ground-state properties ; 6.2. Vortex excitation ; 7. One-dimensional liquid 4He; 8. Bulk liquid 3He ; 9. Two-dimensional 3He ; 10. Concluding remarks ; References Chapter 3 THE FINITE-TEMPERATURE PATH INTEGRAL MONTE CARLO METHOD AND ITS APPLICATION TO SUPERFLUID HELIUM CLUSTERS 1. Introduction ; 2. Theory ; 2.1. General formulation ; 2.2. Density matrix evaluation ; 2.3. Multilevel Metropolis algorithm 2.4. Estimators for some physical quantities |
| Record Nr. | UNINA-9910784725303321 |
| River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Microscopic approaches to quantum liquids in confined geometries [[electronic resource] /] / editors, Eckhard Krotscheck, Jesus Navarro
| Microscopic approaches to quantum liquids in confined geometries [[electronic resource] /] / editors, Eckhard Krotscheck, Jesus Navarro |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 532 |
| Altri autori (Persone) |
KrotscheckEckhard
NavarroJesús <1949-> |
| Collana | Series on advances in quantum many-body theory |
| Soggetto topico |
Many-body problem
Quantum liquids |
| ISBN | 981-277-847-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 HELIUM LIQUIDS IN CONFINED GEOMETRIES ; 1. Introduction ; 2. General observations on confined and inhomogeneous liquid helium ; 3. Droplets ; 4. Films ; 5. Other systems of recent interest ; 6. Theories ; 7. Conclusions ; References
Chapter 2 MONTE CARLO SIMULATIONS AT ZERO TEMPERATURE: HELIUM IN ONE, TWO, AND THREE DIMENSIONS1. Monte Carlo methods and condensed helium ; 2. Monte Carlo methods at zero temperature ; 2.1. Variational Monte Carlo ; 2.2. Diffusion Monte Carlo ; 3. Diffusion Monte Carlo in Fermi systems ; 3.1. Fixed node ; 3.2. Released node 3.3. Analytic improvement of the trial wave function 3.4. A combined strategy ; 4. Preliminary considerations for a DMC calculation of liquid 4He; 4.1. Inputs and consistency checks in the DMC calculations ; 4.2. Unbiased estimators ; 5. Bulk liquid 4He: ground-state and excitations; 5.1. Equation of state and other ground-state properties 5.2. Excited states: phonon-roton spectrum 6. Two-dimensional liquid 4He ; 6.1. Ground-state properties ; 6.2. Vortex excitation ; 7. One-dimensional liquid 4He; 8. Bulk liquid 3He ; 9. Two-dimensional 3He ; 10. Concluding remarks ; References Chapter 3 THE FINITE-TEMPERATURE PATH INTEGRAL MONTE CARLO METHOD AND ITS APPLICATION TO SUPERFLUID HELIUM CLUSTERS 1. Introduction ; 2. Theory ; 2.1. General formulation ; 2.2. Density matrix evaluation ; 2.3. Multilevel Metropolis algorithm 2.4. Estimators for some physical quantities |
| Record Nr. | UNINA-9910824173003321 |
| River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||