Diagonalizing quadratic bosonic operators by non-autonomous flow equations

Diagonalizing quadratic bosonic operators by non-autonomous flow equations / Volker Bach, Jean-Bernard Bru.

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Bach, Volker, 1965- (Author), Bru, J.-B. (Jean-Bernard), 1973- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2016.
Series:Memoirs of the American Mathematical Society ; no. 1138.
Subjects:
Hamiltonian operator.
Matrices.
Hilbert space.
Hamiltonian operator
Hilbert space
Matrices
Online Access:Click for online access
Table of 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.

Similar Items