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Diagonalizing quadratic bosonic operators by non-autonomous flow equations /

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 ar...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bach, Volker, 1965- (Autor), Bru, J.-B. (Jean-Bernard), 1973- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2016.
Colección:Memoirs of the American Mathematical Society ; no. 1138.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Bach, Volker,  |d 1965-  |e author. 
245 1 0 |a Diagonalizing quadratic bosonic operators by non-autonomous flow equations /  |c Volker Bach, Jean-Bernard Bru. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2016. 
264 4 |c ©2015 
300 |a 1 online resource (v, 122 pages) 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v volume 240, number 1138 
588 0 |a Online resource; title from PDF title page (viewed February 16, 2016). 
500 |a "Volume 240, number 1138 (fourth of 5 numbers), March 2016." 
504 |a Includes bibliographical references (pages 121-122). 
505 0 0 |t Introduction --  |t Diagonalization of Quadratic Boson Hamiltonians --  |t Brocket-Wegner Flow for Quadratic Boson Operators --  |t Illustration of the Method --  |t Technical Proofs on the One-Particle Hilbert Space --  |t Technical Proofs on the Boson Fock Space --  |t Appendix. 
520 |a 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. 
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650 0 |a Hamiltonian operator. 
650 0 |a Matrices. 
650 0 |a Hilbert space. 
650 6 |a Opérateur hamiltonien. 
650 6 |a Matrices. 
650 6 |a Espace de Hilbert. 
650 7 |a Hamiltonian operator  |2 fast 
650 7 |a Hilbert space  |2 fast 
650 7 |a Matrices  |2 fast 
700 1 |a Bru, J.-B.  |q (Jean-Bernard),  |d 1973-  |e author. 
710 2 |a American Mathematical Society,  |e publisher. 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1138. 
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