| Description |
1 online resource (v, 122 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 240, number 1138 |
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Memoirs of the American Mathematical Society ; no. 1138.
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| Contents |
Introduction -- 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 |
| Summary |
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 diagonali |
| Notes |
"Volume 240, number 1138 (fourth of 5 numbers), March 2016." |
| Bibliography |
Includes bibliographical references (pages 121-122) |
| Notes |
Online resource; title from PDF title page (viewed February 16, 2016) |
| Subject |
Hamiltonian operator.
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Matrices.
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Hilbert space.
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Hamiltonian operator.
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Hilbert space.
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Matrices.
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| Form |
Electronic book
|
| Author |
Bru, J.-B. (Jean-Bernard), 1973- author.
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American Mathematical Society, publisher.
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| ISBN |
9781470428280 |
|
1470428288 |
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