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OverviewThe authors study a non-autonomous, non-linear evolution equation on the space of operators on a complex Hilbert space. They specify assumptions that ensure the global existence of its solutions and allow them to derive its asymptotics at temporal infinity. They demonstrate that these assumptions are optimal in a suitable sense and more general than those used before. The evolution equation derives from the Brocket-Wegner flow that was proposed to diagonalize matrices and operators by a strongly continuous unitary flow. In fact, the solution of the non-linear flow equation leads to a diagonalization of Hamiltonian operators in boson quantum field theory which are quadratic in the field. Full Product DetailsAuthor: Volker Bach , Jean-Bernard BruPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.204kg ISBN: 9781470417055ISBN 10: 1470417057 Pages: 122 Publication Date: 30 April 2016 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Diagonalization of quadratic boson Hamiltonians Brocket-Wegner flow for quadratic boson operators Illustration of the method Technical proofs on the one-particle Hilbert space Technical proofs on the boson Fock space Appendix ReferencesReviewsAuthor InformationVolker Bach, Technische Universitat Braunschweig, Germany. Jean-Bernard Bru, Universidad del Pais Vasco, Bilbao, Spain and Basque Foundation for Science, Bilbao, Spain. Tab Content 6Author Website:Countries AvailableAll regions |
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