Hamiltonians defined as quadratic forms

DOI10.1007/BF01647118zbMath0208.38804OpenAlexW2038176406MaRDI QIDQ2543729

Barry Simon

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1007/bf01647118

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (14)

Root system of singular perturbations of the harmonic oscillator type operators ⋮ Absence of positive eigenvalues of magnetic Schrödinger operators ⋮ On the stability and spectral properties of the two-dimensional Brown-Ravenhall operator with a short-range potential ⋮ The unified approach to spectral analysis ⋮ Scale invariant transfer matrices and Hamiltionians ⋮ Exact analytical solutions of a two-dimensional hydrogen atom in a constant magnetic field ⋮ On the triviality of \((\lambda_0\phi^4)_{d+1}\) in the nonrelativistic and Lee approximations ⋮ The commutator method for form-relatively compact perturbations ⋮ 5.—Semi-bounded Dirichlet Integrals and the Invariance of the Essential Spectra of Self-adjoint Operators ⋮ Schrödinger operators with singular magnetic vector potentials ⋮ Cut-off potentials and forms extensions ⋮ Adiabatic theorems and applications to the quantum Hall effect ⋮ On weakly \(D\)-differentiable operators ⋮ Hypercontra ctive semigroups and two dimensional self-coupled Bose fields

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