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DC Field | Value | Language |
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dc.contributor.advisor | Schechter, Martin | |
dc.contributor.advisor | Lebow, Arnold | |
dc.contributor.advisor | Rosenfeld, Norman | |
dc.contributor.author | Altabet, Meryl J. | |
dc.date.accessioned | 2023-09-12T18:05:30Z | |
dc.date.available | 2023-09-12T18:05:30Z | |
dc.date.issued | 1984-06 | |
dc.identifier.citation | Altabet, M. J. (1984, June). Existence and completeness of wave operators in two Hilbert spaces (Publication No. 3331403) [Doctoral dissertation, Yeshiva University]. | en_US |
dc.identifier.isbn | 9798641266169 | |
dc.identifier.uri | https://ezproxy.yu.edu/login?url=https://www.proquest.com/dissertations-theses/existence-completeness-wave-operators-two-hilbert/docview/303331403/se-2?accountid=15178 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12202/9197 | |
dc.description | Doctoral dissertation, PhD / Open Access | en_US |
dc.description.abstract | In this thesis we consider an unperturbed self-adjoint operator H(,0) on a Hilbert space H(,0), the operators A, B mapping H(,0) to the Hilbert space K, and J a bounded linear operator mapping the Hilbert space H(,0) to the Hilbert space H.;Our first objective is to give conditions under which there exists a perturbed self-adjoint operator H such that R(z)J - JR(,0)(z) = -(BJ('*)R(z))*AR(,0)(z) and HJ(R-HOOK)J(H(,0) + B('*)A). We prove the existence of the operator H by actually constructing its resolvent R(z).(').;Our next objective is to consider two specific operators H(,0), the momentum operator and the kinetic energy operator, and to give examples of A, B, J for which the main conclusions of scattering theory hold. In obtaining conditions for the existence and completeness of the wave operator, we use a combination of time dependent and stationary methods. | |
dc.description.uri | https://yulib.yu.edu/lib/item?id=chamo:5281670&fromLocationLink=false&theme=YULIS | |
dc.language.iso | en_US | en_US |
dc.publisher | Yeshiva University | en_US |
dc.relation.ispartofseries | Belfer School of Graduate Dissertations;Publication No. 3331403 | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject | Pure sciences | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Hilbert spaces | en_US |
dc.subject | quantum physics | en_US |
dc.title | Existence and completeness of wave operators in two Hilbert spaces | en_US |
dc.type | Dissertation | en_US |
Appears in Collections: | Belfer Graduate School of Science Dissertations 1962 - 1978 |
Files in This Item:
File | Description | Size | Format | |
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Altabet - Existence and Completeness of Wave Operators in Two Hilbert Spaces.pdf | 8.93 MB | Adobe PDF | View/Open |
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