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Introduction to the statistical physics of integrable many-body systems / / Ladislav Šamaj, Zoltán Bajnok [[electronic resource]]
| Introduction to the statistical physics of integrable many-body systems / / Ladislav Šamaj, Zoltán Bajnok [[electronic resource]] |
| Autore | Šamaj Ladislav <1959-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xix, 504 pages) : digital, PDF file(s) |
| Disciplina | 530.12015195 |
| Soggetto topico |
Quantum theory - Statistical methods
Many-body problem |
| ISBN |
1-139-88961-3
1-107-05694-2 1-107-05479-6 1-107-05809-0 1-139-34348-3 1-107-05940-2 1-107-05587-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Spinless Bose and Fermi Gases. 1. Particles with nearest-neighbour interactions: Bethe ansatz and the ground state; 2. Bethe ansatz: zero-temperature thermodynamics and excitations; 3. Bethe ansatz: finite-temperature thermodynamics; 4. Particles with inverse-square interactions; Part II. Quantum Inverse Scattering Method. 5. QISM: Yang-Baxter equation; 6. QISM: transfer matrix and its diagonalization; 7. QISM: treatment of boundary conditions; 8. Nested Bethe ansatz for spin-1/2 fermions with delta interactions; 9. Thermodynamics of spin-1/2 fermions with delta interactions; Part III. Quantum Spin Chains. 10. Quantum Ising chain in a transverse field; 11. XXZ Heisenberg chain: Bethe ansatz and the ground state; 12. XXZ Heisenberg chain: ground state in the presence of magnetic field; 13. XXZ Heisenberg chain: excited states; 14. XXX Heisenberg chain: thermodynamics with strings; 15. XXZ Heisenberg chain: thermodynamics without strings; 16. XYZ Heisenberg chain; 17. Integrable isotropic chains with arbitrary spin; Part IV. Strongly Correlated Electrons. 18. Hubbard model; 19. Kondo effect; 20. Luttinger many-fermion model; 21. Integrable BCS superconductors; Part V. Sine-Gordon Model. 22. Classical sine-Gordon theory; 23. Conformal quantization; 24. Lagrangian quantization; 25. Bootstrap quantization; 26. UV-IR relation; 27. Exact finite volume description from XXZ; 28. Two-dimensional Coulomb gas. |
| Record Nr. | UNINA-9910463146603321 |
Šamaj Ladislav <1959->
|
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| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to the statistical physics of integrable many-body systems / / Ladislav Šamaj, Zoltán Bajnok [[electronic resource]]
| Introduction to the statistical physics of integrable many-body systems / / Ladislav Šamaj, Zoltán Bajnok [[electronic resource]] |
| Autore | Šamaj Ladislav <1959-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xix, 504 pages) : digital, PDF file(s) |
| Disciplina | 530.12015195 |
| Soggetto topico |
Quantum theory - Statistical methods
Many-body problem |
| ISBN |
1-107-06541-0
1-139-88961-3 1-107-05694-2 1-107-05479-6 1-107-05809-0 1-139-34348-3 1-107-05940-2 1-107-05587-3 |
| Classificazione | SCI040000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Spinless Bose and Fermi Gases. 1. Particles with nearest-neighbour interactions: Bethe ansatz and the ground state; 2. Bethe ansatz: zero-temperature thermodynamics and excitations; 3. Bethe ansatz: finite-temperature thermodynamics; 4. Particles with inverse-square interactions; Part II. Quantum Inverse Scattering Method. 5. QISM: Yang-Baxter equation; 6. QISM: transfer matrix and its diagonalization; 7. QISM: treatment of boundary conditions; 8. Nested Bethe ansatz for spin-1/2 fermions with delta interactions; 9. Thermodynamics of spin-1/2 fermions with delta interactions; Part III. Quantum Spin Chains. 10. Quantum Ising chain in a transverse field; 11. XXZ Heisenberg chain: Bethe ansatz and the ground state; 12. XXZ Heisenberg chain: ground state in the presence of magnetic field; 13. XXZ Heisenberg chain: excited states; 14. XXX Heisenberg chain: thermodynamics with strings; 15. XXZ Heisenberg chain: thermodynamics without strings; 16. XYZ Heisenberg chain; 17. Integrable isotropic chains with arbitrary spin; Part IV. Strongly Correlated Electrons. 18. Hubbard model; 19. Kondo effect; 20. Luttinger many-fermion model; 21. Integrable BCS superconductors; Part V. Sine-Gordon Model. 22. Classical sine-Gordon theory; 23. Conformal quantization; 24. Lagrangian quantization; 25. Bootstrap quantization; 26. UV-IR relation; 27. Exact finite volume description from XXZ; 28. Two-dimensional Coulomb gas. |
| Record Nr. | UNINA-9910786730003321 |
|
Šamaj Ladislav <1959->
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to the statistical physics of integrable many-body systems / / Ladislav Šamaj, Zoltán Bajnok
| Introduction to the statistical physics of integrable many-body systems / / Ladislav Šamaj, Zoltán Bajnok |
| Autore | Šamaj Ladislav <1959-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xix, 504 pages) : digital, PDF file(s) |
| Disciplina | 530.12015195 |
| Soggetto topico |
Quantum theory - Statistical methods
Many-body problem |
| ISBN |
1-107-06541-0
1-139-88961-3 1-107-05694-2 1-107-05479-6 1-107-05809-0 1-139-34348-3 1-107-05940-2 1-107-05587-3 |
| Classificazione | SCI040000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Spinless Bose and Fermi Gases. 1. Particles with nearest-neighbour interactions: Bethe ansatz and the ground state; 2. Bethe ansatz: zero-temperature thermodynamics and excitations; 3. Bethe ansatz: finite-temperature thermodynamics; 4. Particles with inverse-square interactions; Part II. Quantum Inverse Scattering Method. 5. QISM: Yang-Baxter equation; 6. QISM: transfer matrix and its diagonalization; 7. QISM: treatment of boundary conditions; 8. Nested Bethe ansatz for spin-1/2 fermions with delta interactions; 9. Thermodynamics of spin-1/2 fermions with delta interactions; Part III. Quantum Spin Chains. 10. Quantum Ising chain in a transverse field; 11. XXZ Heisenberg chain: Bethe ansatz and the ground state; 12. XXZ Heisenberg chain: ground state in the presence of magnetic field; 13. XXZ Heisenberg chain: excited states; 14. XXX Heisenberg chain: thermodynamics with strings; 15. XXZ Heisenberg chain: thermodynamics without strings; 16. XYZ Heisenberg chain; 17. Integrable isotropic chains with arbitrary spin; Part IV. Strongly Correlated Electrons. 18. Hubbard model; 19. Kondo effect; 20. Luttinger many-fermion model; 21. Integrable BCS superconductors; Part V. Sine-Gordon Model. 22. Classical sine-Gordon theory; 23. Conformal quantization; 24. Lagrangian quantization; 25. Bootstrap quantization; 26. UV-IR relation; 27. Exact finite volume description from XXZ; 28. Two-dimensional Coulomb gas. |
| Record Nr. | UNINA-9910975403203321 |
|
Šamaj Ladislav <1959->
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Kvantová Mechanika II / / Jan Klíma, B. Velický
| Kvantová Mechanika II / / Jan Klíma, B. Velický |
| Autore | Klíma Jan |
| Pubbl/distr/stampa | Praha : , : Univerzita Karlova, Nakladatelství Karolinum, , [2018] |
| Descrizione fisica | 1 online resource (373 pages) |
| Disciplina | 530.12015195 |
| Soggetto topico | Quantum theory - Statistical methods |
| Soggetto genere / forma | Electronic books. |
| ISBN | 80-246-3646-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | cze |
| Record Nr. | UNINA-9910466620803321 |
|
Klíma Jan
|
||
| Praha : , : Univerzita Karlova, Nakladatelství Karolinum, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Kvantová Mechanika II / / Jan Klíma, B. Velický
| Kvantová Mechanika II / / Jan Klíma, B. Velický |
| Autore | Klíma Jan |
| Pubbl/distr/stampa | Praha : , : Univerzita Karlova, Nakladatelství Karolinum, , [2018] |
| Descrizione fisica | 1 online resource (373 pages) |
| Disciplina | 530.12015195 |
| Soggetto topico | Quantum theory - Statistical methods |
| ISBN | 80-246-3646-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | cze |
| Record Nr. | UNINA-9910796828303321 |
|
Klíma Jan
|
||
| Praha : , : Univerzita Karlova, Nakladatelství Karolinum, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Kvantová Mechanika II / / Jan Klíma, B. Velický
| Kvantová Mechanika II / / Jan Klíma, B. Velický |
| Autore | Klíma Jan |
| Pubbl/distr/stampa | Praha : , : Univerzita Karlova, Nakladatelství Karolinum, , [2018] |
| Descrizione fisica | 1 online resource (373 pages) |
| Disciplina | 530.12015195 |
| Soggetto topico | Quantum theory - Statistical methods |
| ISBN | 80-246-3646-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | cze |
| Record Nr. | UNINA-9910821509803321 |
|
Klíma Jan
|
||
| Praha : , : Univerzita Karlova, Nakladatelství Karolinum, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA
| Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (312 p.) |
| Disciplina | 530.12015195 |
| Altri autori (Persone) |
MastropietroVieri
MattisDaniel Charles <1932-> |
| Collana | Series on directions in condensed matter physics |
| Soggetto topico | Condensed matter - Research |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4520-72-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface Vieri Mastropietro; Introduction Daniel C. Mattis; Chapter I:. The Luttinger Model and Its Solution; An Exactly Soluble Model of a Many-Fermion System Joaquin M. Luttinger; I. INTRODUCTION; II. EXACT SOLUTION OF THE MODEL; III. EXPLICIT EVALUATION OF MOMENTUM DISTRIBUTION; IV. COMPARISON WITH PERTURBATION THEORY; V. RESPONSE TO EXTERNAL FIELDS; APPENDIX; ACKNOWLEDGMENTS; Exact Solution of a Many-Fermion System and Its Associated Boson Field Daniel C. Mattis and Elliott H. Lieb; I. INTRODUCTION; II. MODEL HAMILTONIAN; III. CASE OF THE FILLED DIRAC SEA
IV. SOLUTIONS OF THE MODEL HAMllTONIANV. EVALUATION OF THE MOMENTUM DISTRIBUTION; VI. DIELECTRIC CONSTANT; APPENDIX; ACKNOWLEDGMENTS; Chapter II: Lattice, Dynamical and Nonlinear Effects; Luttinger Model and Luttinger Liquids Vieri Mastropietro; 1. Introduction; 2. The Luttinger Model Exact Solution; 3. Nonsolvable Lattice Models and the Luttinger Liquid Conjecture; 4. Exact Renormalization Group Analysis; 5. Emerging Symmetries and Vanishing of Beta Function; 6. Ward Identities and Anomalies; 7. Proof of the Luttinger Liquid Relations in Nonsolvable Models; 8. Conclusions; References The Luttinger Liquid and Integrable Models Jesko Sirker1. Introduction; 2. Quantum Integrability; 2.1. Consequences for transport; 2.2. Consequences for thermalization in closed systems; 3. Low-Energy Description of the XXZ Model; 3.1. Irrelevant operators in the finite field case; 3.2. Irrelevant operators for zero field; 4. The Bethe Ansatz Solution; 5. Fixing Parameters of the Luttinger Model Using Integrability; 5.1. Velocity and Luttinger liquid parameter; 5.2. Coupling constants of irrelevant operators; 5.2.1. The zero field case; 5.2.2. The finite field case; 6. Applications 6.1. Impurities, Friedel oscillations and nuclear magnetic resonance6.2. The spin-lattice relaxation rate and transport; 7. Conclusions; Acknowledgments; References; Long Time Correlations of Nonlinear Luttinger Liquids Rodrigo G. Pereira; 1. Introduction; 2. Breakdown of LL Theory by Band Curvature Effects; 3. High Energy Contributions to Time-Dependent Correlation Functions; 4. Long Time Decay at Finite Temperatures; 5. Conclusion and Outlook; Acknowledgments; References; An Expanded Luttinger Model Daniel C. Mattis; 1. Introduction; 2. Review of the (Original) Dispersionless Model 3. Neglect of Exchange Terms4. Important Features of the Original Luttinger Model; 5. Dispersion: The New Feature; 6. Notation; 7. Equations of Motion in the Generalized Model; 8. Eigenvalue Equation at Long Wavelengths; 9. Attractive Versus Repulsive Forces; 10. Conclusion; Appendix A; References; Chapter III: Applications and Experimental Test; Quantum Hall Edge Physics and Its One-Dimensional Luttinger Liquid Description Orion Ciftja; 1. Introduction; 2. Luttinger Liquid and Bosonization; 3. Quantum Hall Effect and the Laughlin States 4. Luttinger Liquid Description of Quantum Hall Edge States |
| Record Nr. | UNINA-9910453251603321 |
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA
| Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (xiii, 297 pages) : illustrations (some color) |
| Disciplina | 530.12015195 |
| Collana | Series on directions in condensed matter physics |
| Soggetto topico |
Luttinger liquids
Condensed matter - Research |
| ISBN | 981-4520-72-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface Vieri Mastropietro; Introduction Daniel C. Mattis; Chapter I:. The Luttinger Model and Its Solution; An Exactly Soluble Model of a Many-Fermion System Joaquin M. Luttinger; I. INTRODUCTION; II. EXACT SOLUTION OF THE MODEL; III. EXPLICIT EVALUATION OF MOMENTUM DISTRIBUTION; IV. COMPARISON WITH PERTURBATION THEORY; V. RESPONSE TO EXTERNAL FIELDS; APPENDIX; ACKNOWLEDGMENTS; Exact Solution of a Many-Fermion System and Its Associated Boson Field Daniel C. Mattis and Elliott H. Lieb; I. INTRODUCTION; II. MODEL HAMILTONIAN; III. CASE OF THE FILLED DIRAC SEA
IV. SOLUTIONS OF THE MODEL HAMllTONIANV. EVALUATION OF THE MOMENTUM DISTRIBUTION; VI. DIELECTRIC CONSTANT; APPENDIX; ACKNOWLEDGMENTS; Chapter II: Lattice, Dynamical and Nonlinear Effects; Luttinger Model and Luttinger Liquids Vieri Mastropietro; 1. Introduction; 2. The Luttinger Model Exact Solution; 3. Nonsolvable Lattice Models and the Luttinger Liquid Conjecture; 4. Exact Renormalization Group Analysis; 5. Emerging Symmetries and Vanishing of Beta Function; 6. Ward Identities and Anomalies; 7. Proof of the Luttinger Liquid Relations in Nonsolvable Models; 8. Conclusions; References The Luttinger Liquid and Integrable Models Jesko Sirker1. Introduction; 2. Quantum Integrability; 2.1. Consequences for transport; 2.2. Consequences for thermalization in closed systems; 3. Low-Energy Description of the XXZ Model; 3.1. Irrelevant operators in the finite field case; 3.2. Irrelevant operators for zero field; 4. The Bethe Ansatz Solution; 5. Fixing Parameters of the Luttinger Model Using Integrability; 5.1. Velocity and Luttinger liquid parameter; 5.2. Coupling constants of irrelevant operators; 5.2.1. The zero field case; 5.2.2. The finite field case; 6. Applications 6.1. Impurities, Friedel oscillations and nuclear magnetic resonance6.2. The spin-lattice relaxation rate and transport; 7. Conclusions; Acknowledgments; References; Long Time Correlations of Nonlinear Luttinger Liquids Rodrigo G. Pereira; 1. Introduction; 2. Breakdown of LL Theory by Band Curvature Effects; 3. High Energy Contributions to Time-Dependent Correlation Functions; 4. Long Time Decay at Finite Temperatures; 5. Conclusion and Outlook; Acknowledgments; References; An Expanded Luttinger Model Daniel C. Mattis; 1. Introduction; 2. Review of the (Original) Dispersionless Model 3. Neglect of Exchange Terms4. Important Features of the Original Luttinger Model; 5. Dispersion: The New Feature; 6. Notation; 7. Equations of Motion in the Generalized Model; 8. Eigenvalue Equation at Long Wavelengths; 9. Attractive Versus Repulsive Forces; 10. Conclusion; Appendix A; References; Chapter III: Applications and Experimental Test; Quantum Hall Edge Physics and Its One-Dimensional Luttinger Liquid Description Orion Ciftja; 1. Introduction; 2. Luttinger Liquid and Bosonization; 3. Quantum Hall Effect and the Laughlin States 4. Luttinger Liquid Description of Quantum Hall Edge States |
| Record Nr. | UNINA-9910790869503321 |
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA
| Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (xiii, 297 pages) : illustrations (some color) |
| Disciplina | 530.12015195 |
| Collana | Series on directions in condensed matter physics |
| Soggetto topico |
Luttinger liquids
Condensed matter - Research |
| ISBN | 981-4520-72-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface Vieri Mastropietro; Introduction Daniel C. Mattis; Chapter I:. The Luttinger Model and Its Solution; An Exactly Soluble Model of a Many-Fermion System Joaquin M. Luttinger; I. INTRODUCTION; II. EXACT SOLUTION OF THE MODEL; III. EXPLICIT EVALUATION OF MOMENTUM DISTRIBUTION; IV. COMPARISON WITH PERTURBATION THEORY; V. RESPONSE TO EXTERNAL FIELDS; APPENDIX; ACKNOWLEDGMENTS; Exact Solution of a Many-Fermion System and Its Associated Boson Field Daniel C. Mattis and Elliott H. Lieb; I. INTRODUCTION; II. MODEL HAMILTONIAN; III. CASE OF THE FILLED DIRAC SEA
IV. SOLUTIONS OF THE MODEL HAMllTONIANV. EVALUATION OF THE MOMENTUM DISTRIBUTION; VI. DIELECTRIC CONSTANT; APPENDIX; ACKNOWLEDGMENTS; Chapter II: Lattice, Dynamical and Nonlinear Effects; Luttinger Model and Luttinger Liquids Vieri Mastropietro; 1. Introduction; 2. The Luttinger Model Exact Solution; 3. Nonsolvable Lattice Models and the Luttinger Liquid Conjecture; 4. Exact Renormalization Group Analysis; 5. Emerging Symmetries and Vanishing of Beta Function; 6. Ward Identities and Anomalies; 7. Proof of the Luttinger Liquid Relations in Nonsolvable Models; 8. Conclusions; References The Luttinger Liquid and Integrable Models Jesko Sirker1. Introduction; 2. Quantum Integrability; 2.1. Consequences for transport; 2.2. Consequences for thermalization in closed systems; 3. Low-Energy Description of the XXZ Model; 3.1. Irrelevant operators in the finite field case; 3.2. Irrelevant operators for zero field; 4. The Bethe Ansatz Solution; 5. Fixing Parameters of the Luttinger Model Using Integrability; 5.1. Velocity and Luttinger liquid parameter; 5.2. Coupling constants of irrelevant operators; 5.2.1. The zero field case; 5.2.2. The finite field case; 6. Applications 6.1. Impurities, Friedel oscillations and nuclear magnetic resonance6.2. The spin-lattice relaxation rate and transport; 7. Conclusions; Acknowledgments; References; Long Time Correlations of Nonlinear Luttinger Liquids Rodrigo G. Pereira; 1. Introduction; 2. Breakdown of LL Theory by Band Curvature Effects; 3. High Energy Contributions to Time-Dependent Correlation Functions; 4. Long Time Decay at Finite Temperatures; 5. Conclusion and Outlook; Acknowledgments; References; An Expanded Luttinger Model Daniel C. Mattis; 1. Introduction; 2. Review of the (Original) Dispersionless Model 3. Neglect of Exchange Terms4. Important Features of the Original Luttinger Model; 5. Dispersion: The New Feature; 6. Notation; 7. Equations of Motion in the Generalized Model; 8. Eigenvalue Equation at Long Wavelengths; 9. Attractive Versus Repulsive Forces; 10. Conclusion; Appendix A; References; Chapter III: Applications and Experimental Test; Quantum Hall Edge Physics and Its One-Dimensional Luttinger Liquid Description Orion Ciftja; 1. Introduction; 2. Luttinger Liquid and Bosonization; 3. Quantum Hall Effect and the Laughlin States 4. Luttinger Liquid Description of Quantum Hall Edge States |
| Record Nr. | UNINA-9910807941803321 |
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||