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:
Hamiltonian operator.
Matrices.
Hilbert space.
Opérateur hamiltonien.
Espace de Hilbert.
Hamiltonian operator
Hilbert space
Matrices
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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