Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho |
Autore | Botelho Luiz C. L |
Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science Publishers, c2009 |
Descrizione fisica | 1 online resource (352 p.) |
Disciplina | 530.14/3 |
Soggetto topico |
Path integrals
Integral representations Probabilities |
Soggetto genere / forma | Electronic books. |
ISBN | 1-60741-908-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""METHODS OF BOSONIC AND FERMIONIC PATH INTEGRALS REPRESENTATIONS: CONTINUUM RANDOM GEOMETRY IN QUANTUM FIELD THEORY""; ""Contents""; ""About This Monograph (ForewordI)""; ""Loop Space Path Integrals Representations for Euclidean Quantum Fields Path Integrals and the Covariant Path Integral""; ""1.1. Introduction""; ""1.2. The Bosonic Loop Space Formulation of the O(N)-Scalar Field Theory""; ""1.3. A Fermionic Loop Space for QCD""; ""1.4. Invariant Path Integration and the Covariant Functional Measure for Einstein Gravitation Theory""; ""References""; ""Appendix A.""; ""Appendix B.""
""8.1. Introduction"" |
Record Nr. | UNINA-9910454798403321 |
Botelho Luiz C. L
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Hauppauge, N.Y., : Nova Science Publishers, c2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho |
Autore | Botelho Luiz C. L |
Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science Publishers, c2009 |
Descrizione fisica | 1 online resource (352 p.) |
Disciplina | 530.14/3 |
Soggetto topico |
Path integrals
Integral representations Probabilities |
ISBN | 1-60741-908-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""METHODS OF BOSONIC AND FERMIONIC PATH INTEGRALS REPRESENTATIONS: CONTINUUM RANDOM GEOMETRY IN QUANTUM FIELD THEORY""; ""Contents""; ""About This Monograph (ForewordI)""; ""Loop Space Path Integrals Representations for Euclidean Quantum Fields Path Integrals and the Covariant Path Integral""; ""1.1. Introduction""; ""1.2. The Bosonic Loop Space Formulation of the O(N)-Scalar Field Theory""; ""1.3. A Fermionic Loop Space for QCD""; ""1.4. Invariant Path Integration and the Covariant Functional Measure for Einstein Gravitation Theory""; ""References""; ""Appendix A.""; ""Appendix B.""
""8.1. Introduction"" |
Record Nr. | UNINA-9910778031203321 |
Botelho Luiz C. L
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Hauppauge, N.Y., : Nova Science Publishers, c2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho |
Autore | Botelho Luiz C. L |
Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science Publishers, c2009 |
Descrizione fisica | 1 online resource (352 p.) |
Disciplina | 530.14/3 |
Soggetto topico |
Path integrals
Integral representations Probabilities |
ISBN | 1-60741-908-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""METHODS OF BOSONIC AND FERMIONIC PATH INTEGRALS REPRESENTATIONS: CONTINUUM RANDOM GEOMETRY IN QUANTUM FIELD THEORY""; ""Contents""; ""About This Monograph (ForewordI)""; ""Loop Space Path Integrals Representations for Euclidean Quantum Fields Path Integrals and the Covariant Path Integral""; ""1.1. Introduction""; ""1.2. The Bosonic Loop Space Formulation of the O(N)-Scalar Field Theory""; ""1.3. A Fermionic Loop Space for QCD""; ""1.4. Invariant Path Integration and the Covariant Functional Measure for Einstein Gravitation Theory""; ""References""; ""Appendix A.""; ""Appendix B.""
""8.1. Introduction"" |
Record Nr. | UNINA-9910810460503321 |
Botelho Luiz C. L
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Hauppauge, N.Y., : Nova Science Publishers, c2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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A modern theory of random variation [[electronic resource] ] : with applications in stochastic calculus, financial mathematics, and Feynman integration / / Patrick Muldowney |
Autore | Muldowney P (Patrick), <1946-> |
Edizione | [1st edition] |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2012 |
Descrizione fisica | 1 online resource (545 p.) |
Disciplina | 519.2/3 |
Soggetto topico |
Random variables
Calculus of variations Path integrals Mathematical analysis |
ISBN |
1-118-34594-0
1-118-34595-9 1-283-83500-2 1-118-34592-4 |
Classificazione | MAT034000 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
A Modern Theory of Random Variation: With Applications in Stochastic Calculus, Financial Mathematics, and Feynman Integration; Contents; Preface; Symbols; 1 Prologue; 1.1 About This Book; 1.2 About the Concepts; 1.3 About the Notation; 1.4 Riemann, Stieltjes, and Burkill Integrals; 1.5 The -Complete Integrals; 1.6 Riemann Sums in Statistical Calculation; 1.7 Random Variability; 1.8 Contingent and Elementary Forms; 1.9 Comparison With Axiomatic Theory; 1.10 What Is Probability?; 1.11 Joint Variability; 1.12 Independence; 1.13 Stochastic Processes; 2 Introduction
2.1 Riemann Sums in Integration2.2 The -Complete Integrals in Domain ]0,1]; 2.3 Divisibility of the Domain ]0,1]; 2.4 Fundamental Theorem of Calculus; 2.5 What Is Integrability?; 2.6 Riemann Sums and Random Variability; 2.7 How to Integrate a Function; 2.8 Extension of the Lebesgue Integral; 2.9 Riemann Sums in Basic Probability; 2.10 Variation and Outer Measure; 2.11 Outer Measure and Variation in [0,1]; 2.12 The Henstock Lemma; 2.13 Unbounded Sample Spaces; 2.14 Cauchy Extension of the Riemann Integral; 2.15 Integrability on ]0,(infinity)[; 2.16 ""Negative Probability"" 2.17 Henstock Integration in Rn2.18 Conclusion; 3 Infinite-Dimensional Integration; 3.1 Elements of Infinite-Dimensional Domain; 3.2 Partitions of RT; 3.3 Regular Partitions of RT; 3.4 δ-Fine Partially Regular Partitions; 3.5 Binary Partitions of RT; 3.6 Riemann Sums in RT; 3.7 Integrands in RT; 3.8 Definition of the Integral in RT; 3.9 Integrating Functions in RT; 4 Theory of the Integral; 4.1 The Henstock Integral; 4.2 Gauges for RT; 4.3 Another Integration System in RT; 4.4 Validation of Gauges in RT; 4.5 The Burkill-Complete Integral in RT; 4.6 Basic Properties of the Integral 5.10 Introduction to Central Limit Theorem5.11 Proof of Central Limit Theorem; 5.12 Probability Symbols; 5.13 Measurability and Probability; 5.14 The Calculus of Probabilities; 6 Gaussian Integrals; 6.1 Fresnel's Integral; 6.2 Evaluation of Fresnel's Integral; 6.3 Fresnel's Integral in Finite Dimensions; 6.4 Fresnel Distribution Function in Rn; 6.5 Infinite-Dimensional Fresnel Integral; 6.6 Integrability on RT; 6.7 The Fresnel Function Is VBG*; 6.8 Incremental Fresnel Integral; 6.9 Fresnel Continuity Properties; 7 Brownian Motion; 7.1 c-Brownian Motion; 7.2 Brownian Motion With Drift 7.3 Geometric Brownian Motion |
Record Nr. | UNINA-9910141367303321 |
Muldowney P (Patrick), <1946->
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Hoboken, N.J., : Wiley, 2012 | ||
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Lo trovi qui: Univ. Federico II | ||
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Path integrals [[electronic resource] ] : new trends and perspectives : proceedings of the 9th international conference, Dresden, Germany, September 23-28 2007 / / editors, Wolfhard Janke, Axel Pelster |
Pubbl/distr/stampa | New Jersey, : World Scientific, 2008 |
Descrizione fisica | 1 online resource (629 p.) |
Disciplina | 530.12 |
Altri autori (Persone) |
JankeW (Wolfhard)
PelsterAxel |
Soggetto topico |
Path integrals
Quantum field theory |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-44230-9
9786612442308 981-283-727-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface; Conference committees; Group photo; CONTENTS; Part I History and Perspectives; Part II Quantum Physics; Part III Quantum Field Theory; Part IV Quantum Gravity; Part V Statistical Field Theory; Part VI Monte Carlo Techniques; Part VII Bose-Einstein Condensation; Part VIII Condensed Matter; Part IX Spin Models; Part X Biophysics and Stochastics; List of participants; Author index; Keyword index |
Record Nr. | UNINA-9910457136103321 |
New Jersey, : World Scientific, 2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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Path integrals [[electronic resource] ] : new trends and perspectives : proceedings of the 9th international conference, Dresden, Germany, September 23-28 2007 / / editors, Wolfhard Janke, Axel Pelster |
Pubbl/distr/stampa | New Jersey, : World Scientific, 2008 |
Descrizione fisica | 1 online resource (629 p.) |
Disciplina | 530.12 |
Altri autori (Persone) |
JankeW (Wolfhard)
PelsterAxel |
Soggetto topico |
Path integrals
Quantum field theory |
ISBN |
1-282-44230-9
9786612442308 981-283-727-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface; Conference committees; Group photo; CONTENTS; Part I History and Perspectives; Part II Quantum Physics; Part III Quantum Field Theory; Part IV Quantum Gravity; Part V Statistical Field Theory; Part VI Monte Carlo Techniques; Part VII Bose-Einstein Condensation; Part VIII Condensed Matter; Part IX Spin Models; Part X Biophysics and Stochastics; List of participants; Author index; Keyword index |
Record Nr. | UNINA-9910780804003321 |
New Jersey, : World Scientific, 2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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Path integrals [[electronic resource] ] : new trends and perspectives : proceedings of the 9th international conference, Dresden, Germany, September 23-28 2007 / / editors, Wolfhard Janke, Axel Pelster |
Pubbl/distr/stampa | New Jersey, : World Scientific, 2008 |
Descrizione fisica | 1 online resource (629 p.) |
Disciplina | 530.12 |
Altri autori (Persone) |
JankeW (Wolfhard)
PelsterAxel |
Soggetto topico |
Path integrals
Quantum field theory |
ISBN |
1-282-44230-9
9786612442308 981-283-727-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface; Conference committees; Group photo; CONTENTS; Part I History and Perspectives; Part II Quantum Physics; Part III Quantum Field Theory; Part IV Quantum Gravity; Part V Statistical Field Theory; Part VI Monte Carlo Techniques; Part VII Bose-Einstein Condensation; Part VIII Condensed Matter; Part IX Spin Models; Part X Biophysics and Stochastics; List of participants; Author index; Keyword index |
Record Nr. | UNINA-9910826427503321 |
New Jersey, : World Scientific, 2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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Path integrals for stochastic processes : an introduction / / Horacio S. Wio, Instituto de Fisica de Cantabria, Universidad de Cantabria, and CSIC, Spain |
Autore | Wio Horacio S |
Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2013 |
Descrizione fisica | 1 online resource (xiii, 159 pages) : illustrations |
Disciplina | 530.1595 |
Collana | Gale eBooks |
Soggetto topico |
Stochastic processes
Path integrals |
ISBN |
1-299-28135-4
981-4449-04-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Stochastic Processes: A Short Tour; 1.1 Stochastic Process; 1.2 Master Equation; 1.3 Langevin Equation; 1.4 Fokker-Planck Equation; 1.5 Relation Between Langevin and Fokker-Planck Equations; 2. The Path Integral for a Markov Stochastic Process; 2.1 The Wiener Integral; 2.2 The Path Integral for a General Markov Process; 2.3 The Recovering of the Fokker-Planck Equation; 2.4 Path Integrals in Phase Space; 2.5 Generating Functional and Correlations; 3. Generalized Path Expansion Scheme I; 3.1 Expansion Around the Reference Path; 3.2 Fluctuations Around the Reference Path
4. Space-Time Transformation I4.1 Introduction; 4.2 Simple Example; 4.3 Fluctuation Theorems from Non-equilibrium Onsager- Machlup Theory; 4.4 Brownian Particle in a Time-Dependent Harmonic Potential; 4.5 Work Distribution Function; 5. Generalized Path Expansion Scheme II; 5.1 Path Expansion: Further Aspects; 5.2 Examples; 5.2.1 Ornstein-Uhlenbeck Problem; 5.2.2 Simplified Prey-Predator Model; 6. Space-Time Transformation II; 6.1 Introduction; 6.2 The Diffusion Propagator; 6.3 Flow Through the Infinite Barrier; 6.4 Asymptotic Probability Distribution; 6.5 General Localization Conditions 6.6 A Family of Analytical Solutions6.7 Stochastic Resonance in a Monostable Non-Harmonic Time-Dependent Potential; 7. Non-Markov Processes: Colored Noise Case; 7.1 Introduction; 7.2 Ornstein-Uhlenbeck Case; 7.3 The Stationary Distribution; 7.4 The Interpolating Scheme; 7.4.1 Stationary Distributions; 8. Non-Markov Processes: Non-Gaussian Case; 8.1 Introduction; 8.2 Non-Gaussian Process η; 8.3 Effective Markov Approximation; 9. Non-Markov Processes: Nonlinear Cases; 9.1 Introduction; 9.2 Nonlinear Noise; 9.2.1 Polynomial Noise; 9.2.2 Exponential Noise; 9.3 Kramers Problem 10. Fractional Diffusion Process10.1 Short Introduction to Fractional Brownian Motion; 10.2 Fractional Brownian Motion: A Path Integral Approach; 10.3 Fractional Brownian Motion: The Kinetic Equation; 10.4 Fractional Brownian Motion: Some Extensions; 10.4.1 Case 1; 10.4.2 Case 2; 10.5 Fractional Levy Motion: Path Integral Approach; 10.5.1 Gaussian Test; 10.5.2 Kinetic Equation; 10.6 Fractional Levy Motion: Final Comments; 11. Feynman-Kac Formula, the Influence Functional; 11.1 Feynman-Kac formula; 11.2 Influence Functional: Elimination of Irrelevant Variables; 11.2.1 Example: Colored Noise |
Record Nr. | UNINA-9910792054403321 |
Wio Horacio S
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Singapore ; ; Hackensack, N.J., : World Scientific, c2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Path integrals for stochastic processes : an introduction / / Horacio S. Wio, Instituto de Fisica de Cantabria, Universidad de Cantabria, and CSIC, Spain |
Autore | Wio Horacio S |
Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2013 |
Descrizione fisica | 1 online resource (xiii, 159 pages) : illustrations |
Disciplina | 530.1595 |
Collana | Gale eBooks |
Soggetto topico |
Stochastic processes
Path integrals |
ISBN |
1-299-28135-4
981-4449-04-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Stochastic Processes: A Short Tour; 1.1 Stochastic Process; 1.2 Master Equation; 1.3 Langevin Equation; 1.4 Fokker-Planck Equation; 1.5 Relation Between Langevin and Fokker-Planck Equations; 2. The Path Integral for a Markov Stochastic Process; 2.1 The Wiener Integral; 2.2 The Path Integral for a General Markov Process; 2.3 The Recovering of the Fokker-Planck Equation; 2.4 Path Integrals in Phase Space; 2.5 Generating Functional and Correlations; 3. Generalized Path Expansion Scheme I; 3.1 Expansion Around the Reference Path; 3.2 Fluctuations Around the Reference Path
4. Space-Time Transformation I4.1 Introduction; 4.2 Simple Example; 4.3 Fluctuation Theorems from Non-equilibrium Onsager- Machlup Theory; 4.4 Brownian Particle in a Time-Dependent Harmonic Potential; 4.5 Work Distribution Function; 5. Generalized Path Expansion Scheme II; 5.1 Path Expansion: Further Aspects; 5.2 Examples; 5.2.1 Ornstein-Uhlenbeck Problem; 5.2.2 Simplified Prey-Predator Model; 6. Space-Time Transformation II; 6.1 Introduction; 6.2 The Diffusion Propagator; 6.3 Flow Through the Infinite Barrier; 6.4 Asymptotic Probability Distribution; 6.5 General Localization Conditions 6.6 A Family of Analytical Solutions6.7 Stochastic Resonance in a Monostable Non-Harmonic Time-Dependent Potential; 7. Non-Markov Processes: Colored Noise Case; 7.1 Introduction; 7.2 Ornstein-Uhlenbeck Case; 7.3 The Stationary Distribution; 7.4 The Interpolating Scheme; 7.4.1 Stationary Distributions; 8. Non-Markov Processes: Non-Gaussian Case; 8.1 Introduction; 8.2 Non-Gaussian Process η; 8.3 Effective Markov Approximation; 9. Non-Markov Processes: Nonlinear Cases; 9.1 Introduction; 9.2 Nonlinear Noise; 9.2.1 Polynomial Noise; 9.2.2 Exponential Noise; 9.3 Kramers Problem 10. Fractional Diffusion Process10.1 Short Introduction to Fractional Brownian Motion; 10.2 Fractional Brownian Motion: A Path Integral Approach; 10.3 Fractional Brownian Motion: The Kinetic Equation; 10.4 Fractional Brownian Motion: Some Extensions; 10.4.1 Case 1; 10.4.2 Case 2; 10.5 Fractional Levy Motion: Path Integral Approach; 10.5.1 Gaussian Test; 10.5.2 Kinetic Equation; 10.6 Fractional Levy Motion: Final Comments; 11. Feynman-Kac Formula, the Influence Functional; 11.1 Feynman-Kac formula; 11.2 Influence Functional: Elimination of Irrelevant Variables; 11.2.1 Example: Colored Noise |
Record Nr. | UNINA-9910810653703321 |
Wio Horacio S
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Singapore ; ; Hackensack, N.J., : World Scientific, c2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Path integrals, hyperbolic spaces and selberg trace formulae / / Christian Grosche |
Autore | Grosche C (Christian), <1956-> |
Edizione | [Second edition.] |
Pubbl/distr/stampa | New York : , : Springer, , 2013 |
Descrizione fisica | 1 online resource (389 pages) |
Disciplina | 530.12 |
Soggetto topico |
Path integrals
Quantum theory |
Soggetto genere / forma | Electronic books. |
ISBN | 981-4460-08-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. Introduction -- 2. Path integrals in quantum mechanics. 2.1. The Feynman path integral. 2.2. Defining the path integral. 2.3. Transformation techniques. 2.4. Group path integration. 2.5. Klein-Gordon particle. 2.6. Basic path integrals -- 3. Separable coordinate systems on spaces of constant curvature. 3.1. Separation of variables and breaking of symmetry. 3.2. Classification of coordinate systems. 3.3. Coordinate systems in spaces of constant curvature -- 4. Path integrals in pseudo-Euclidean geometry. 4.1. The pseudo-Euclidean plane. 4.2. Three-dimensional pseudo-Euclidean space -- 5. Path integrals in Euclidean spaces. 5.1. Two-dimensional Euclidean space. 5.2. Three-dimensional Euclidean space -- 6. Path integrals on spheres. 6.1. The two-dimensional sphere. 6.2. The three-dimensional sphere -- 7. Path integrals on hyperboloids. 7.1. The two-dimensional pseudosphere. 7.2. The three-dimensional pseudosphere -- 8. Path integral on the complex sphere. 8.1. The two-dimensional complex sphere. 8.2. The three-dimensional complex sphere. 8.3. Path integral evaluations on the complex sphere -- 9. Path integrals on Hermitian hyperbolic space. 9.1. Hermitian hyperbolic space HH(2). 9.2. Path integral evaluations on HH(2) -- 10. Path integrals on Darboux spaces. 10.1. Two-dimensional Darboux spaces. 10.2. Path integral evaluations. 10.3. Three-dimensional Darboux spaces -- 11. Path integrals on single-sheeted hyperboloids. 11.1. The two-dimensional single-sheeted hyperboloid -- 12. Miscellaneous results on path integration. 12.1. The D-dimensional pseudosphere. 12.2. Hyperbolic rank-one spaces. 12.3. Path integral on SU(n) and SU(n-1,1) -- 13. Billiard systems and periodic orbit theory. 13.1. Some elements of periodic orbit theory. 13.2. A billiard system in a hyperbolic rectangle. 13.3. Other integrable billiards in two and three dimensions. 13.4. Numerical investigation of integrable billiard systems -- 14. The Selberg trace formula. 14.1. The Selberg trace formula in mathematical physics. 14.2. Applications and generalizations. 14.3. The Selberg trace formula on Riemann surfaces. 14.4. The Selberg trace formula on bordered Riemann surfaces -- 15. The Selberg super-trace formula. 15.1. Automorphisms on super-Riemann surfaces. 15.2. Selberg super-zeta-functions. 15.3. Super-determinants of Dirac operators. 15.4. The Selberg super-trace formula on bordered super-Riemann surfaces. 15.5. Selberg super-zeta-functions. 15.6. Super-determinants of Dirac operators. 15.7. Asymptotic distributions on super-Riemann surfaces -- 16. Summary and discussion. 16.1. Results on path integrals. 16.2. Results on trace formulæ. 16.3. Miscellaneous results, final remarks, and outlook. |
Record Nr. | UNINA-9910452460603321 |
Grosche C (Christian), <1956->
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New York : , : Springer, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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