• Title/Summary/Keyword: Feynman path-integration

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NEW SIMPLE PROOF OF PATH-INTEGRATION AND ITS APPLICATION

  • Jung, Soon-Mo;Kim, Byung-Bae
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.279-287
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    • 2000
  • A simple estimate of Feynman path-integration with general potential via its new definition is given and found to be very useful. This new method will help find the value of some Feynman path-integrals as precise as one wants.

INTEGRATION STRUCTURES FOR THE OPERATOR-VALUED FEYNMAN INTEGRAL

  • Jefferies, Brian
    • Journal of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.349-363
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    • 2001
  • The analytic in mass operator-valued Feynman integral is related to integration with respect to unbounded set functions formed from the semigroup obtained by analytic continuation of the heat semigroup and the spectral measure of multiplication by characteristics functions.

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