Conditional generalized analytic Feynman integrals and a generalized integral equation
We use a generalized Brownian motion process to define a generalized Feynman integral and a conditional generalized Feynman integral. We then establish the existence of these integrals for various functionals. Finally we use the conditional generalized Feynman integral to derive a Schrödinger integr...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200002775 |
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| _version_ | 1850225772825935872 |
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| author | Seung Jun Chang Soon Ja Kang David Skoug |
| author_facet | Seung Jun Chang Soon Ja Kang David Skoug |
| author_sort | Seung Jun Chang |
| collection | DOAJ |
| description | We use a generalized Brownian motion process to define a
generalized Feynman integral and a conditional generalized Feynman
integral. We then establish the existence of these integrals for
various functionals. Finally we use the conditional generalized
Feynman integral to derive a Schrödinger integral equation. |
| format | Article |
| id | doaj-art-51bfb2ba93df4f4ea90c178a4f59ce28 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-51bfb2ba93df4f4ea90c178a4f59ce282025-08-20T02:05:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231175977610.1155/S0161171200002775Conditional generalized analytic Feynman integrals and a generalized integral equationSeung Jun Chang0Soon Ja Kang1David Skoug2Department of Mathematics, Dankook University, Cheonan 330-714, KoreaDepartment of Mathematical Education, Chonnam National University, Kwangju 500, KoreaDepartment of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323, USAWe use a generalized Brownian motion process to define a generalized Feynman integral and a conditional generalized Feynman integral. We then establish the existence of these integrals for various functionals. Finally we use the conditional generalized Feynman integral to derive a Schrödinger integral equation.http://dx.doi.org/10.1155/S0161171200002775Generalized Brownian motiongeneralized Feynman integralconditional generalized Feynman integralSchrödinger equation. |
| spellingShingle | Seung Jun Chang Soon Ja Kang David Skoug Conditional generalized analytic Feynman integrals and a generalized integral equation International Journal of Mathematics and Mathematical Sciences Generalized Brownian motion generalized Feynman integral conditional generalized Feynman integral Schrödinger equation. |
| title | Conditional generalized analytic Feynman integrals and a generalized integral equation |
| title_full | Conditional generalized analytic Feynman integrals and a generalized integral equation |
| title_fullStr | Conditional generalized analytic Feynman integrals and a generalized integral equation |
| title_full_unstemmed | Conditional generalized analytic Feynman integrals and a generalized integral equation |
| title_short | Conditional generalized analytic Feynman integrals and a generalized integral equation |
| title_sort | conditional generalized analytic feynman integrals and a generalized integral equation |
| topic | Generalized Brownian motion generalized Feynman integral conditional generalized Feynman integral Schrödinger equation. |
| url | http://dx.doi.org/10.1155/S0161171200002775 |
| work_keys_str_mv | AT seungjunchang conditionalgeneralizedanalyticfeynmanintegralsandageneralizedintegralequation AT soonjakang conditionalgeneralizedanalyticfeynmanintegralsandageneralizedintegralequation AT davidskoug conditionalgeneralizedanalyticfeynmanintegralsandageneralizedintegralequation |