Spectral functions in mathematics and physics. (©2002)

• Record Type: Book
• Further Information: Note: Klaus Kirsten.
• Other Names: Kirsten, Klaus, 1962-
• Contents: INTRODUCTION; A FIRST LOOK AT ZETA FUNCTIONS AND HEAT TRACES; Zeta Function in Quantum Field Theory; Statistical Mechanics of Finite Systems: Bose-Einstein Condensation; Local versus Global Boundary Conditions; ZETA FUNCTIONS ON GENERALIZED CONES AND RELATED MANIFOLDS; Scalar Field on the Three-Dimensional Ball; Scalar Field on the D-Dimensional Generalized Cone; Spinor Field with Global and Local Boundary Conditions; Forms with Absolute and Relative Boundary Conditions; Oblique Boundary Conditions on the Generalized Cone; Further Examples on a Related Geometry; CALCULATION OF HEAT KERNEL COEFFCIENTS VIA SPECIAL CASES; Heat Equation Asymptotics for Manifolds without Boundary; General Form for Dirichlet and Robin Boundary Conditions; Heat Kernel Coefficients on the Generalized Cone; Determination of the General Heat Kernel Coefficients; Mixed Boundary Conditions; Special Case Calculations for Mixed Boundary Conditions; Determination of the Mixed Heat Kernel Coefficients; Oblique Boundary Conditions; Leading Heat Equation Asymptotics with Spectral Boundary Conditions; Summary of the Results; Further Boundary Conditions; HEAT CONTENT ASYMPTOTICS; General Form of the Heat Content Coefficients; Dirichlet Boundary Conditions; Robin Boundary Conditions; Heat Content Asymptotics on the Generalized Cone; Mixed Boundary Conditions; FUNCTIONAL DETERMINANTS; Some One-Dimensional Examples; Scalar Field; Spinor Field with Global and Local Boundary Conditions; Forms with Absolute and Relative Boundary Conditions; Determinants by Conformal Transformation; CASIMIR ENERGIES; Scalar Field; Spinor Field with Global and Local Boundary Conditions; Electromagnetic Field with and without Medium; Massive Scalar Field; Massive Spinor Field with Local Boundary Conditions; GROUND STATE ENERGIES UNDER THE INFLUENCE OF EXTERNAL FIELDS; Formalism: Scattering Theory and Ground State Energy; Examples and General Results; Spinor Field in the Background of a Finite Radius Flux Tube; BOSE-EINSTEIN CONDENSATION OF IDEAL BOSE GASES UNDER EXTERNAL CONDITIONS; Ideal Bose Gases in the Grand Canonical Description; Canonical Description of Ideal Bose-Einstein Condensates; Microcanonical Condensate Fluctuations; CONCLUSIONS; APPENDICES; Basic Zeta Functions; Conformal Relations between Geometric Tensors; Application of Index Theorems; Representations for the Asymptotic Contributions; Perturbation Theory for the Logarithm of the Jost Function; REFERENCES; INDEX; Each chapter also includes an Introduction and Concluding Remarks section
• Publisher Details: Boca Raton, Fla : Chapman & Hall/CRC
• Publication Date: 2002
• Copyright Date: 2002
• Extent: 1 online resource (382 pages), illustrations
• Subjects: 530.15/57222; Functions, Zeta; Spectral theory (Mathematics); Mathematical physics; SCIENCE -- Physics -- Mathematical & Computational; Functions, Zeta; Mathematical physics; Spectral theory (Mathematics); Electronic books
• Languages: English
• ISBNs: 1420035460; 9781420035469
• Related ISBNs: 158488259X; 9781584882596
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.