Analytic vectors for representations of the canonical commutation relations and nondegeneracy of ground states

DOI10.1016/0022-1236(74)90007-XzbMath0285.47033OpenAlexW2058807674MaRDI QIDQ1845370

Leonard Gross

Publication date: 1974

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(74)90007-x

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05) Scattering theory of linear operators (47A40)

Related Items (5)

Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions ⋮ A subelliptic Taylor isomorphism on infinite-dimensional Heisenberg groups ⋮ Dirichlet forms and diffusion processes on rigged Hilbert spaces ⋮ Surjectivity of the Taylor map for complex nilpotent Lie groups ⋮ REPRESENTATIONS OF LIE ALGEBRAS BUILT OVER HILBERT SPACE

Cites Work

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• Analytic vectors
• Mathematical characterization of the physical vacuum for a linear Bose- Einstein field
• A nonperturbative approach to nondegeneracy of ground states in quantum field theory: Polaron models
• Die Eindeutigkeit der Schrödingerschen Operatoren
• The relativistic polaron without cutoffs
• The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum
• Existence and uniqueness of physical ground states
• Hypercontra ctive semigroups and two dimensional self-coupled Bose fields
• Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times
• Invariant Cones and Uniqueness of the Ground State for Fermion Systems

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