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An adiabatic theorem without a gap condition. (English) Zbl 0971.81038

Dittrich, Jaroslav (ed.) et al., Mathematical results in quantum mechanics. QMath7 conference, Prag, Czech Republic, June 22-26, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 108, 3-12 (1999).
Summary: The basic adiabatic theorems of classical and quantum mechanics are overviewed and an adiabatic theorem in quantum mechanics without a gap condition is described.
For the entire collection see [Zbl 0911.00055].

MSC:

81Q99 General mathematical topics and methods in quantum theory
70H11 Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics
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