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Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations (Memoirs of the American Mathematical Society)

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Description

About the Author Volker Bach, Technische Universitat Braunschweig, Germany.Jean-Bernard Bru, Universidad del Pais Vasco, Bilbao, Spain and Basque Foundation for Science, Bilbao, Spain. Product Description The 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.

Product Specifications

Format: paperback
ASIN: 1470417057
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 30 March 2016
Listed Since: 17 December 2015

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Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations (Memoirs of the American Mathematical Society)

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