Unitary implementations of one-parameter squeezing groups
DOI10.1063/1.532352zbMath0909.46058OpenAlexW2091361502MaRDI QIDQ4212995
Reinhard Honegger, Alfred Rieckers
Publication date: 7 October 1998
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532352
Fock representationLuttinger modelBogoliubov automorphismsCCR-algebrarepresentations symplectically related (but inequivalent) to Focksqueezing processes with infinite modessymplectic one parameter groups
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Electromagnetic interaction; quantum electrodynamics (81V10) Quantum optics (81V80) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of selfadjoint operator algebras to physics (46L60)
Cites Work
- Temperature states on loop groups, theta functions and the Luttinger model
- On the continuous extension of states on the CCR algebra
- Fermions and associated bosons of one-dimensional model
- Existence and uniqueness of the vacuum for linear quantized fields
- Unitary equivalence of Fock representations on the Weyl algebra
- Foundations of the Theory of Dynamical Systems of Infinitely Many Degrees of Freedom, II
- Implementation of automorphism groups in certain representations of the canonical commutation relations
- Global cocycle dynamics for infinite mean field quantum systems interacting with the boson gas
- Squeezing Bogoliubov transformations on the infinite mode CCR-algebra
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