skip to content
Mathematical Feynman path integrals and their applications Preview this item
ClosePreview this item
Checking...

Mathematical Feynman path integrals and their applications

Author: Sonia Mazzucchi; World Scientific (Firm)
Publisher: Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2009.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman's ideas. This volume provides a detailed,  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Sonia Mazzucchi; World Scientific (Firm)
ISBN: 9789812836915 9812836918
OCLC Number: 613396809
Description: 1 online resource (viii, 216 pages)
Contents: 1. Introduction. 1.1. Wiener's and Feynman's integration. 1.2. The Feynman functional. 1.3. Infinite dimensional oscillatory integrals --
2. Infinite dimensional oscillatory integrals. 2.1. Finite dimensional oscillatory integrals. 2.2. The Parseval type equality. 2.3. Generalized Fresnel integrals. 2.4. Infinite dimensional oscillatory integrals. 2.5. Polynomial phase functions --
3. Feynman Path Integrals and the Schrödinger equation. 3.1. The anharmonic oscillator with a bounded anharmonic potential. 3.2. Time dependent potentials. 3.3. Phase space Feynman path integrals. 3.4. Magnetic field. 3.5. Quartic potential --
4. The stationary phase method and the semiclassical limit of quantum mechanics. 4.1. Asymptotic expansions. 4.2. The stationary phase method. Finite dimensional case. 4.3. The stationary phase method. Infinite dimensional case. 4.4. The semiclassical limit of quantum mechanics. 4.5. The trace formula --
5. Open quantum systems. 5.1. Feynman path integrals and open quantum systems. 5.2. The Feynman-Vernon influence functional. 5.3. The stochastic Schrödinger equation --
6. Alternative approaches to Feynman path integration. 6.1. Analytic continuation of Wiener integrals. 6.2. The sequential approach. 6.3. White noise calculus. 6.4. Poisson processes. 6.5. Further approaches and results.
Responsibility: Sonia Mazzucchi.

Abstract:

Presents an overview of the mathematical realization of Feynman path integrals in terms of well-defined functional integrals, that is, the infinite dimensional oscillatory integrals. This book  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/613396809> # Mathematical Feynman path integrals and their applications
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
   library:oclcnum "613396809" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/172214764#Place/hackensack_n_j> ; # Hackensack, N.J.
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/si> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/172214764#Place/singapore> ; # Singapore
   schema:about <http://experiment.worldcat.org/entity/work/data/172214764#Topic/mathematics_mathematical_analysis> ; # MATHEMATICS--Mathematical Analysis
   schema:about <http://id.worldcat.org/fast/923542> ; # Feynman integrals
   schema:about <http://experiment.worldcat.org/entity/work/data/172214764#Topic/mathematics_calculus> ; # MATHEMATICS--Calculus
   schema:about <http://dewey.info/class/515.43/e22/> ;
   schema:bookFormat schema:EBook ;
   schema:contributor <http://viaf.org/viaf/126207106> ; # World Scientific (Firm)
   schema:copyrightYear "2009" ;
   schema:creator <http://experiment.worldcat.org/entity/work/data/172214764#Person/mazzucchi_sonia> ; # Sonia Mazzucchi
   schema:datePublished "2009" ;
   schema:description "1. Introduction. 1.1. Wiener's and Feynman's integration. 1.2. The Feynman functional. 1.3. Infinite dimensional oscillatory integrals -- 2. Infinite dimensional oscillatory integrals. 2.1. Finite dimensional oscillatory integrals. 2.2. The Parseval type equality. 2.3. Generalized Fresnel integrals. 2.4. Infinite dimensional oscillatory integrals. 2.5. Polynomial phase functions -- 3. Feynman Path Integrals and the Schrödinger equation. 3.1. The anharmonic oscillator with a bounded anharmonic potential. 3.2. Time dependent potentials. 3.3. Phase space Feynman path integrals. 3.4. Magnetic field. 3.5. Quartic potential -- 4. The stationary phase method and the semiclassical limit of quantum mechanics. 4.1. Asymptotic expansions. 4.2. The stationary phase method. Finite dimensional case. 4.3. The stationary phase method. Infinite dimensional case. 4.4. The semiclassical limit of quantum mechanics. 4.5. The trace formula -- 5. Open quantum systems. 5.1. Feynman path integrals and open quantum systems. 5.2. The Feynman-Vernon influence functional. 5.3. The stochastic Schrödinger equation -- 6. Alternative approaches to Feynman path integration. 6.1. Analytic continuation of Wiener integrals. 6.2. The sequential approach. 6.3. White noise calculus. 6.4. Poisson processes. 6.5. Further approaches and results."@en ;
   schema:description "Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman's ideas. This volume provides a detailed, self-contained description of the mathematical difficulties as well as the possible techniques used to solve these difficulties. In particular, it gives a complete overview of the mathematical realization of Feynman path integrals in terms of well-defined functional integrals, that is, the infinite dimensional oscillatory integrals. It contains the traditional results on the topic as well as the more recent developments obtained by the author. Mathematical Feynman Path Integrals and Their Applications is devoted to both mathematicians and physicists, graduate students and researchers who are interested in the problem of mathematical foundations of Feynman path integrals."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/172214764> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isSimilarTo <http://worldcat.org/entity/work/data/172214764#CreativeWork/> ;
   schema:name "Mathematical Feynman path integrals and their applications"@en ;
   schema:productID "613396809" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/613396809#PublicationEvent/singapore_hackensack_n_j_world_scientific_pub_co_2009> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/172214764#Agent/world_scientific_pub_co> ; # World Scientific Pub. Co.
   schema:url <http://ebookcentral.proquest.com/lib/gprc-ebooks/detail.action?docID=477207> ;
   schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=305263> ;
   schema:url <http://www.myilibrary.com?id=244302> ;
   schema:url <http://ebookcentral.proquest.com/lib/ucm/detail.action?docID=477207> ;
   schema:url <http://ebookcentral.proquest.com/lib/rdc/detail.action?docID=477207> ;
   schema:url <http://ebookcentral.proquest.com/lib/macewan-ebooks/detail.action?docID=477207> ;
   schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=305263> ;
   schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=477207> ;
   schema:url <http://ebooks.worldscinet.com/ISBN/9789812836915/9789812836915.shtml> ;
   schema:url <http://ebookcentral.proquest.com/lib/concordiaab-ebooks/detail.action?docID=477207> ;
   schema:url <http://ebookcentral.proquest.com/lib/columbia/detail.action?docID=477207> ;
   schema:workExample <http://worldcat.org/isbn/9789812836915> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/613396809> ;
    .


Related Entities

<http://ebookcentral.proquest.com/lib/concordiaab-ebooks/detail.action?docID=477207>
   rdfs:comment "from Ebook Central Academic Complete" ;
   rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://ebookcentral.proquest.com/lib/gprc-ebooks/detail.action?docID=477207>
   rdfs:comment "from Ebook Central Academic Complete" ;
   rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://ebookcentral.proquest.com/lib/macewan-ebooks/detail.action?docID=477207>
   rdfs:comment "from Ebook Central Academic Complete" ;
   rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://ebookcentral.proquest.com/lib/rdc/detail.action?docID=477207>
   rdfs:comment "from Ebook Central Academic Complete" ;
   rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://ebooks.worldscinet.com/ISBN/9789812836915/9789812836915.shtml>
   rdfs:comment "Access restricted to LBNL staff." ;
    .

<http://experiment.worldcat.org/entity/work/data/172214764#Agent/world_scientific_pub_co> # World Scientific Pub. Co.
    a bgn:Agent ;
   schema:name "World Scientific Pub. Co." ;
    .

<http://experiment.worldcat.org/entity/work/data/172214764#Person/mazzucchi_sonia> # Sonia Mazzucchi
    a schema:Person ;
   schema:familyName "Mazzucchi" ;
   schema:givenName "Sonia" ;
   schema:name "Sonia Mazzucchi" ;
    .

<http://experiment.worldcat.org/entity/work/data/172214764#Place/hackensack_n_j> # Hackensack, N.J.
    a schema:Place ;
   schema:name "Hackensack, N.J." ;
    .

<http://experiment.worldcat.org/entity/work/data/172214764#Topic/mathematics_calculus> # MATHEMATICS--Calculus
    a schema:Intangible ;
   schema:name "MATHEMATICS--Calculus"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/172214764#Topic/mathematics_mathematical_analysis> # MATHEMATICS--Mathematical Analysis
    a schema:Intangible ;
   schema:name "MATHEMATICS--Mathematical Analysis"@en ;
    .

<http://id.worldcat.org/fast/923542> # Feynman integrals
    a schema:Intangible ;
   schema:name "Feynman integrals"@en ;
    .

<http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=305263>
   rdfs:comment "from EBSCO Academic Collection" ;
   rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://viaf.org/viaf/126207106> # World Scientific (Firm)
    a schema:Organization ;
   schema:name "World Scientific (Firm)" ;
    .

<http://worldcat.org/entity/work/data/172214764#CreativeWork/>
    a schema:CreativeWork ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/613396809> ; # Mathematical Feynman path integrals and their applications
    .

<http://worldcat.org/isbn/9789812836915>
    a schema:ProductModel ;
   schema:isbn "9812836918" ;
   schema:isbn "9789812836915" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.