Papers by Robbert Beukema
Quality and Reliability Engineering International, 2002
The notion of Gelfand triples is applied to interpret mathe- matically a family of phase-space re... more The notion of Gelfand triples is applied to interpret mathe- matically a family of phase-space representations of quantum mechanics interpolating between the Wigner and Husimi representations. Gelfand triples of operators on Hilbert space, and Gelfand triples of functions on phase-space are introduced in order to get isomorphic correspondences between operators and their phase-space representations. The phase- space Gelfand triples are characterized by means of growth conditions on the analytic continuation of the functions. We give integral expressions for the sesquilinear forms belonging to the phase-space Gelfand triples. This provides mathematically rigorous phase-space analogues for quan- tum mechanical expectation values of bounded operators.
Afsluitend kunnen we concluderen dat het direct laserstructureren in alle laserschrijfregimes van... more Afsluitend kunnen we concluderen dat het direct laserstructureren in alle laserschrijfregimes van functionele polymeren voor vloeibare kristaluitlijning resulteert in patronen die niet toegankelijk zijn met andere vloeibare kristaluitlijningstechnieken. De gepatroneerde polymeren kunnen overwogen worden voor toepassing in nieuwe ontwerpen van elektro-optische componenten en apparaten voor display-en beveiligingstoepassingen voor documenten en credit cards.
DOI to the publisher's website. • The final author version and the galley proof are versions of t... more DOI to the publisher's website. • The final author version and the galley proof are versions of the publication after peer review. • The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal. If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User Agreement:
Uploads
Papers by Robbert Beukema