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

Bach, Volker; Bru, Jean-Bernard

Softcover

ISBN 10: 1470417057 ISBN 13: 9781470417055

Publisher: American Mathematical Society, 2016

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.

About this title

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2016
• ISBN 10: 1470417057
• ISBN 13: 9781470417055
• Binding: Paperback
• Language: English
• Number of pages: 122