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AuthorSchiekel, Bernharddc.contributor.author
Date of accession2017-07-10T12:59:38Zdc.date.accessioned
Available in OPARU since2017-07-10T12:59:38Zdc.date.available
Year of creation2017-06-30dc.date.created
Date of first publication2017-06-30dc.date.issued
Abstract"Zetafunctions in Physics - an Introduction" is an introductory monograph about Riemann-Zetafunction, Spectral Zetafunctions and Dynamical Zetafunctions in Physics on an advanced undergraduate level. Topics are: harmonic oszillator (not much surprising), phase operators and coherent states, pathintegrals of single- and many-particle systems, regularization with Spectral Zetafunction and Casimir-effect, heat-kernel-expansion and regularization and renormalization of the Phi(4,4)-theory in 1-loop approximation, Dynamical or Ruelle Zetafunctions in dynamical systems and Gutzwillers traceformula. Mathematical appendices deal with: Gammafunction, Riemann-Zetafunction, Mellin-transformation, asymptotic expansions, heat-kernel-expansion and (analytic) index-theorem for elliptic differential operators, Fredholm-theory of elliptic pseudo-differential operators. Due to the didactic intention of this introduction all proofs are worked out in details. So, enjoy yourself!dc.description.abstract
Languagededc.language.iso
PublisherUniversität Ulmdc.publisher
ID of original publ.https://www.mb-schiekel.de/zetafunc.pdfdc.relation.uri
LicenseStandarddc.rights
Link to license texthttps://oparu.uni-ulm.de/xmlui/license_v3dc.rights.uri
KeywordWärmekerndc.subject
KeywordSpectral functionsdc.subject
KeywordZeta functionsdc.subject
KeywordPhysicsdc.subject
Dewey Decimal GroupDDC 530 / Physicsdc.subject.ddc
LCSHFunctions, zetadc.subject.lcsh
TitleZeta-Funktionen in der Physik - eine Einführungdc.title
Resource typeBuchdc.type
DOIhttp://dx.doi.org/10.18725/OPARU-4418dc.identifier.doi
PPN1653841699dc.identifier.ppn
URNhttp://nbn-resolving.de/urn:nbn:de:bsz:289-oparu-4457-3dc.identifier.urn
GNDRegularisierungdc.subject.gnd
GNDRenormierungdc.subject.gnd
GNDZetafunktiondc.subject.gnd
FacultyFakultät für Naturwissenschaftenuulm.affiliationGeneral
InstitutionInstitut für Quantenphysikuulm.affiliationSpecific
Citation of original publ.pirvate Homepageuulm.citationOrigPub
Edition4. Auflageuulm.edition
DCMI TypeTextuulm.typeDCMI
TypeZweitveröffentlichunguulm.veroeffentlichung
CategoryPublikationenuulm.category
Bibliographyuulmuulm.bibliographie


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