Field theory [[electronic resource] ] : a path integral approach / / Ashok Das

• Record Nr.: UNINA9910453115503321
• Autore: Das Ashok <1953->
• Pubbl/distr/stampa: Singapore ; ; River Edge, NJ, : World Scientific, c2006
• ISBN: 1-281-92465-2; 9786611924652; 981-277-326-6
• Edizione: [2nd ed.]
• Descrizione fisica: 1 online resource (377 p.)
• Collana: World Scientific lecture notes in physics ; ; v. 75
• Disciplina: 530.12; 530.14/3; 530.143
• Soggetti: Path integrals; Quantum field theory; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Preface to the First Edition; Preface to the Second Edition; Contents; 1. Introduction; 1.1 Particles and Fields; 1.2 Metric and Other Notations; 1.3 Functionals; 1.4 Review of Quantum Mechanics; 1.5 References; 2. Path Integrals and Quantum Mechanics; 2.1 Basis States; 2.2 Operator Ordering; 2.3 The Classical Limit; 2.4 Equivalence with the Schrodinger Equation; 2.5 Free Particle; 2.6 References; 3. Harmonic Oscillator; 3.1 Path Integral for the Harmonic Oscillator; 3.2 Method of Fourier Transform; 3.3 Matrix Method; 3.4 The Classical Action; 3.5 References; 4. Generating Functional; 4.1 Euclidean Rotation4.2 Time Ordered Correlation Functions; 4.3 Correlation Functions in Definite States; 4.4 Vacuum Functional; 4.5 Anharmonic Oscillator; 4.6 References; 5. Path Integrals for Fermions; 5.1 Fermionic Oscillator; 5.2 Grassmann Variables; 5.3 Generating Functional; 5.4 Feynman Propagator; 5.5 The Fermion Determinant; 5.6 References; 6. Supersymmetry; 6.1 Supersymmetric Oscillator; 6.2 Supersymmetric Quantum Mechanics; 6.3 Shape Invariance; 6.4 Example; 6.5 Supersymmetry and Singular Potentials; 6.6 References; 7. ; Semi-Classical Methods; 7.1 WKB Approximation; 7.2 Saddle Point Method7.3 Semi-Classical Methods in Path Integrals; 7.4 Double Well Potential; 7.5 References; 8. Path Integral for the Double Well; 8.1 Instantons; 8.2 Zero Modes; 8.3 The Instanton Integral; 8.4 Evaluating the Determinant; 8.5 Multi-Instanton Contributions; 8.6 References; 9. Path Integral for Relativistic Theories; 9.1 Systems with Many Degrees of Freedom; 9.2 Relativistic Scalar Field Theory; 9.3 Feynman Rules; 9.4 Connected Diagrams; 9.5 References; 10. Effective Action; 10.1 The Classical Field; 10.2 Effective Action; 10.3 Loop Expansion; 10.4 Effective Potential at One Loop10.5 References; 11. Invariances and Their Consequences; 11.1 Symmetries of the Action; 11.2 Noether's Theorem; 11.3 Complex Scalar Field; 11.4 Ward Identities; 11.5 Spontaneous Symmetry Breaking; 11.6 Goldstone Theorem; 11.7 References; 12. Gauge Theories; 12.1 Maxwell Theory; 12.2 Non-Abelian Gauge Theory; 12.3 Path Integral for Gauge Theories; 12.4 BRST Invariance; 12.5 Ward Identities; 12.6 References; 13. Anomalies; 13.1 Anomalous Ward Identity; 13.2 Schwinger Model; 13.3 References; 14. Systems at Finite Temperature; 14.1 Statistical Mechanics; 14.2 Critical Exponents14.3 Harmonic Oscillator; 14.4 Fermionic Oscillator; 14.5 References; 15. Ising Model; 15.1 One Dimensional Ising Model; 15.2 The Partition Function; 15.3 Two Dimensional Ising Model; 15.4 Duality; 15.5 High and Low Temperature Expansions; 15.6 Quantum Mechanical Model; 15.7 Duality in the Quantum System; 15.8 References; Index
• Sommario/riassunto: This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas.Adding new material keenly requested by readers, this second edition is an important expansion of the popular first edition. Two extra chapters cover path integral quantization of gauge theories and anomalies, and a new section extends the supersymmetry chapter, where singular potentials in supersymmetric systems are described.

Experimental design : from user studies to psychophysics / / Douglas W. Cunningham, Christian Wallraven

• Record Nr.: UNINA9910457769903321
• Autore: Cunningham Douglas W (Douglas William)
• Pubbl/distr/stampa: Boca Raton, Fla. : , : CRC Press, , 2012
• ISBN: 0-429-10495-2; 1-283-59644-X; 9786613908896; 1-4398-6551-5
• Edizione: [1st edition]
• Descrizione fisica: 1 online resource (402 p.)
• Collana: An A K Peters book Experimental design
• Altri autori (Persone): WallravenChristian
• Disciplina: 519.5/7
• Soggetti: Computer science - Experiments; Human-computer interaction - Experiments; Experimental design; Psychophysics; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Front Cover; Contents; Preface; I. Introduction; 1. What Is an Experiment?; 2. Designing an Experiment; II. Response Measures; 3. The Task; 4. Free Description; 5. Rating Scales; 6. Forced-Choice; 7. Specialized Multiple Choice; 8. Real-World Tasks; 9. Physiology; III. Stimuli; 10. Choosing Stimuli; 11. Presenting Stimuli: The Psychtoolbox; IV. Data Analysis; 12. Statistical Issues; 13. Free Description, Questionnaires, and Rating Scales; 14. Forced and Multiple Choice; Bibliography
• Sommario/riassunto: This book explains the basic terminology used to discuss experiments and takes a brief look at the more than 150 year history has in psychology. It covers how to generalize from a few people to the whole population. The largest part of the book is dedicated to the most flexible, and arguably the most central, aspect of an experiment: What do the participants do? Each chapter follows the same structure and includes two examples, one from traditional psychophysics and on using computer animated facial expressions as stimuli.