Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-08-100-25
DOI: https://dx.doi.org/10.15863/TAS.2021.08.100.25
Language: English
Citation: Halema, Z. Y. H. (2021). Integration by parts formulas and formulation of Feynman path integral. ISJ Theoretical & Applied Science, 08 (100), 137-142. Soi: http://s-o-i.org/1.1/TAS-08-100-25 Doi: https://dx.doi.org/10.15863/TAS.2021.08.100.25 |
Pages: 137-142
Published: 30.08.2021
Abstract: This paper aimed at investigating the Integration by Parts Formulas and Rotationally Invariant Sobolev Calculus on Free Loop Spaces of a manifold mechanics. This formulation is very familiar to us and well known to be useful. But its rigorous meaning is given little except for special cases.
Key words: Sobolev calculus, loop space, Laplacian, Feynman path integral, Lagrangian function, Schrodinger equation, Continuous uniformly.
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