A STRONG OPERATOR TOPOLOGY ADIABATIC THEOREM

DOI10.1142/S0129055X02001247zbMath1033.81037arXivmath-ph/0110002OpenAlexW1980668455WikidataQ58004601 ScholiaQ58004601MaRDI QIDQ4420445

Alexander Elgart, Jeffrey H. Schenker

Publication date: 17 August 2003

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

Full work available at URL: https://arxiv.org/abs/math-ph/0110002

zbMATH Keywords

convergencespectral theoryembedded eigenvaluesadiabatic evolutionQuantum theoryweak additive perturbation

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (1)

On the efficiency of Hamiltonian-based quantum computation for low-rank matrices

Cites Work

• Adiabatic theorems and applications to the quantum Hall effect
• Adiabatic theorems for dense point spectra
• Adiabatic theorem without a gap condition
• Localization at large disorder and at extreme energies: an elementary derivation
• Adiabatic expansions near eigenvalue crossings
• On the adiabatic theorem of quantum mechanics
• Adiabatic evolution for systems with infinitely many eigenvalue crossings

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