Spectral geometry: Two exactly solvable models

DOI10.1016/0375-9601(94)00725-5zbMath0959.58501OpenAlexW1979424710MaRDI QIDQ1965047

Yu. A. Kuperin, G. E. Rudin, B. S. Pavlov, S. I. Vinitskij

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)00725-5

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Applications of global analysis to the sciences (58Z05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of PDEs on manifolds (58J90) Applications of functional analysis in quantum physics (46N50)

Cites Work

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• A topological investigation of the quantum adiabatic phase
• Adiabatic dynamics for a class of quantum Hamiltonians
• Connections and effective S-matrix in triangle representation for quantum scattering
• Convergent expansions for tunneling
• Adiabatic expansions near eigenvalue crossings
• Quantal phase factors accompanying adiabatic changes
• The theory of extensions and explicitly-soluble models
• Topological aspects of the non-adiabatic Berry phase

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