000 03523nam a22005415i 4500
001 978-3-540-44757-3
003 DE-He213
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007 cr nn 008mamaa
008 121227s1995 gw | s |||| 0|eng d
020 _a9783540447573
_9978-3-540-44757-3
024 7 _a10.1007/978-3-540-44757-3
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHQ
_2thema
082 0 4 _a530.12
_223
100 1 _aElizalde, Emilio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aTen Physical Applications of Spectral Zeta Functions
_h[electronic resource] /
_cby Emilio Elizalde.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1995.
300 _aXII, 228 p. 1 illus.
_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 _aand 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: The 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 0 _aQuantum theory.
650 0 _aThermodynamics.
650 0 _aStatistical physics.
650 1 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aQuantum Information Technology, Spintronics.
_0http://scigraph.springernature.com/things/product-market-codes/P31070
650 2 4 _aThermodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21050
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662140505
776 0 8 _iPrinted edition:
_z9783662140499
776 0 8 _iPrinted edition:
_z9783540602309
830 0 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v35
856 4 0 _uhttps://doi.org/10.1007/978-3-540-44757-3
912 _aZDB-2-PHA
912 _aZDB-2-LNP
912 _aZDB-2-BAE
999 _c12018
_d12018