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.
| ISBN: | 9781470417055 |
| Publication date: | 30th April 2016 |
| Author: | Volker Bach, JB Bru |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 122 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Mathematical physics |
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.
Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations features in the following genres: Mathematical physics
Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations is available in Paperback
Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations was written by Volker Bach, JB Bru and published by American Mathematical Society
Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations has 122 pages
Yes it is part of Memoirs of the American Mathematical Society series