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2089-05.pdf | 1.81 MB | Adobe PDF | 見る/開く |
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dc.contributor.author | Ji, Un Cig | en |
dc.date.accessioned | 2020-06-19T04:18:08Z | - |
dc.date.available | 2020-06-19T04:18:08Z | - |
dc.date.issued | 2018-08 | - |
dc.identifier.issn | 1880-2818 | - |
dc.identifier.uri | http://hdl.handle.net/2433/251604 | - |
dc.description.abstract | We study the displacement operators within the framework of quantum white noise calculus. The displacement operators are characterized by implementation problems which are equivalent to linear differential equations associated with the quantum white noise derivatives for white noise operators. Then the displacement operators are applied to study a generalization of the Cameron-Martin-Girsanov theorem. More precisely, we prove that the affine transform, with an isometric dilation and a regular drift, of a Brownian motion is again a Brownian motion with respect to a new probability measure which is derived explicitly in terms of the displacement operators. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | 京都大学数理解析研究所 | ja |
dc.publisher.alternative | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.subject | 60H40 | en |
dc.subject | 46F25 | en |
dc.subject | 81S25 | en |
dc.subject | Boson filed | en |
dc.subject | canonical commutation relation | en |
dc.subject | Fock space | en |
dc.subject | implementation problem | en |
dc.subject | displacement operator | en |
dc.subject | Girsanov transform | en |
dc.subject.ndc | 410 | - |
dc.title | Displacement Operator and Generalization of Cameron-Martin-Girsanov Theorem (Mathematical Aspects of Quantum Fields and Related Topics) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AN00061013 | - |
dc.identifier.jtitle | 数理解析研究所講究録 | ja |
dc.identifier.volume | 2089 | - |
dc.identifier.spage | 53 | - |
dc.identifier.epage | 70 | - |
dc.textversion | publisher | - |
dc.sortkey | 05 | - |
dc.address | Department of Mathematics, Institute for Industrial and Applied Mathematics, Chungbuk National University | en |
dcterms.accessRights | open access | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku | en |
出現コレクション: | 2089 量子場の数理とその周辺 |
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