Bogoliubov transformations beyond Shale-Stinespring: generic \(v^* v\) for bosons

DOI10.1007/978-981-99-5884-9_12MaRDI QIDQ6612943

Sascha Lill

Publication date: 1 October 2024

zbMATH Keywords

generalized Bogoliubov transformationsShale-Stinespring conditionbosonic quantum fields

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

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• Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
• Generalized Hartree-Fock theory and the Hubbard model
• Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
• The dilute Fermi gas via Bogoliubov theory
• Bose-Einstein condensation beyond the Gross-Pitaevskii regime
• Bosonic quadratic Hamiltonians
• Functional evolution of free quantum fields
• Linear Symmetries of Free Boson Fields
• On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation
• The mathematical structure of the bardeen-cooper-schrieffer model
• Local Wick polynomials and time ordered products of quantum fields in curved spacetime

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