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The Feynman Integral and Feynman's Operational Calculus

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Title: The Feynman Integral and Feynman's Operational Calculus
Description: The aim of this book is to make accessible to mathematicians, physicists and other scientists interested in qunatum theory, the beautiful but mathematically difficult subjects of the Feynman integral and Feynman's operational calculus. Some advantages of the approaches to the Feynman integral which are treated in detail in this book are the following: the existence of the Feynman integral is established for very general potentials in all four cases; under more restrictive but still broad conditions, three of these Feynman integrals agree with one another and with the unitary group from the usual approach to quantum dynamics; these same three Feynman integrals possess pleasant stability properties. Much of the material covered here was previously available only in the research literature, and the book also contains some new results. The background material in mathematics and physics that motivates the study of the Feynman integral and Feynman's operational calculus is discussed, and detailed proofs are provided for the central results.
Authors: Gerald W. Johnson, Michel L. Lapidus
Resource Type: eBook.
Subjects: Feynman integrals, Calculus, Operational
Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Calculus
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 98476
RelevancyScore: 966
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 965.702392578125
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  Label: Title
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  Data: The Feynman Integral and Feynman's Operational Calculus
– Name: Abstract
  Label: Description
  Group: Ab
  Data: The aim of this book is to make accessible to mathematicians, physicists and other scientists interested in qunatum theory, the beautiful but mathematically difficult subjects of the Feynman integral and Feynman's operational calculus. Some advantages of the approaches to the Feynman integral which are treated in detail in this book are the following: the existence of the Feynman integral is established for very general potentials in all four cases; under more restrictive but still broad conditions, three of these Feynman integrals agree with one another and with the unitary group from the usual approach to quantum dynamics; these same three Feynman integrals possess pleasant stability properties. Much of the material covered here was previously available only in the research literature, and the book also contains some new results. The background material in mathematics and physics that motivates the study of the Feynman integral and Feynman's operational calculus is discussed, and detailed proofs are provided for the central results.
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  Data: <searchLink fieldCode="AR" term="%22Gerald+W%2E+Johnson%22">Gerald W. Johnson</searchLink><br /><searchLink fieldCode="AR" term="%22Michel+L%2E+Lapidus%22">Michel L. Lapidus</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Feynman+integrals%22">Feynman integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Calculus%2C+Operational%22">Calculus, Operational</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.43
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Feynman integrals
        Type: general
      – SubjectFull: Calculus, Operational
        Type: general
    Titles:
      – TitleFull: The Feynman Integral and Feynman's Operational Calculus
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Gerald W. Johnson
      – PersonEntity:
          Name:
            NameFull: Michel L. Lapidus
      – PersonEntity:
          Name:
            NameFull: Gerald W. Johnson
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          Name:
            NameFull: Michel L. Lapidus
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2000
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780198515722
            – Type: isbn-electronic
              Value: 9780585483528
            – Type: isbn-electronic
              Value: 9780191546266
          Titles:
            – TitleFull: The Feynman Integral and Feynman's Operational Calculus
              Type: main
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