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Birkhäuser Basel eBooks

An Adiabatic Theorem without a Gap Condition

J. E. Avron, Alexander Elgart

Published Jan 1, 1999• 59 citations
Publisher

Abstract

The basic adiabatic theorems of classical and quantum mechanics are over-viewed and an adiabatic theorem in quantum mechanics without a gap condition is described. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
DOI
10.1007/978-3-0348-8745-8_1

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The notion of adiabaticity has played important role in the history of physics. Roughly speaking, it lies on the border of statics and dynamics, taking into account dynamical effects but in the limit of infinitely slow changes. That is, the system is no longer static but its evolution is “infinitely slow.” A typical situation where one applies adiabatic ideas is when a physical system may be divided into two subsystems with completely different time scales: a so-called slow subsystem and fast subsystem . These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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