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LEADER: 02687nam a22004335a 4500
001 013830951-5
005 20131206193653.0
008 121227s1995 gw | s ||0| 0|eng d
020 $a9783540447573
020 $a9783540447573
020 $a9783540602309
024 7 $a10.1007/978-3-540-44757-3$2doi
035 $a(Springer)9783540447573
040 $aSpringer
100 1 $aElizalde, Emilio,$eauthor.
245 10 $aTen Physical Applications of Spectral Zeta Functions /$cby Emilio Elizalde.
264 1 $aBerlin, Heidelberg :$bSpringer Berlin Heidelberg,$c1995.
300 $aXII, 228 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aLecture Notes in Physics Monographs,$x0940-7677 ;$v35
505 0 $aFrom the contents: Introduction and Outlook -- Mathematical Formulas Involving the Different Zeta Functions -- A Treatment of the Non-Polynomial Contributions: Application to Calculate Partition Functions of Strings and Membranes -- Analytical and Numerical Study of Inhomogeneous Epstein and Epstein-Hurwitz Zeta Functions -- Physical Application: Casimir Effect -- Four Physical Applications of the Inhomogeneous Generalized Epstein-Hurwitz Zeta Functions -- Miscellaneous Applications Combining Zeta with Other Regularization Procedures -- Applications to Gravity, Strings and P-Branes -- Last Application: Topological Symmetry Breaking in Self-Interacting Theories.
520 $aZeta-function regularization is a powerful method in perturbation theory. This book is meant as a guide for the student of this subject. Everything is explained in detail, in particular the mathematical difficulties and tricky points, and several applications are given to show how the procedure works in practice (e.g. Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking). The formulas some of which are new can be used for accurate numerical calculations. The book is to be considered as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice.
650 20 $aStatistical physics.
650 20 $aThermodynamics.
650 20 $aQuantum theory.
650 10 $aPhysics.
650 0 $aPhysics.
650 0 $aQuantum theory.
650 0 $aQuantum computing.
650 0 $aStatistical physics.
650 0 $aThermodynamics.
650 24 $aQuantum Computing, Information and Physics.
776 08 $iPrinted edition:$z9783540602309
830 0 $aLecture Notes in Physics Monographs ;$v35.
988 $a20131114
906 $0VEN