Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations - Couverture souple

Bach, Volker; Bru, Jean-Bernard

 
9781470417055: Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations

Synopsis

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.

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À propos de l?auteur

Volker Bach, Technische Universitat Braunschweig, Germany.

Jean-Bernard Bru, Universidad del Pais Vasco, Bilbao, Spain and Basque Foundation for Science, Bilbao, Spain.

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