On the spectral properties of Hamiltonians without conservation of the particle number

DOI10.1063/1.1452302zbMath1059.81060OpenAlexW2041610770MaRDI QIDQ4830773

Lech Zielinski, Israel Michael Sigal, Avy Soffer

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1498449a472b5ecd3059f81a4c7715dbdf67a74d

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptotics ⋮ QUANTUM ELECTRODYNAMICS OF RELATIVISTIC BOUND STATES WITH CUTOFFS ⋮ Analysis of the discrete Spectrum of the family SPECTRUM of \(3\times 3\) operator matrices ⋮ The Faddeev equation and the essential spectrum of a model operator associated with the Hamiltonian of a nonconserved number of particles ⋮ On the number of eigenvalues of a matrix operator ⋮ On the spectral analysis of many-body systems ⋮ On the discrete spectrum of a model operator in fermionic Fock space

Cites Work

• A new proof of the Mourre estimate
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules
• Mathematical theory of nonrelativistic matter and radiation
• ASYMPTOTIC COMPLETENESS IN QUANTUM IN FIELD THEORY: MASSIVE PAULI–FIERZ HAMILTONIANS
• Minimal escape velocities

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