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Spectrum and Quantum Dynamics

Part of the Progress in Mathematical Physics book series (PMP, volume 54)

Abstract

Different spectral subspaces of a self-adjoint operator T in general entail different behaviors of the unitary evolution group e−itT (particularly as |t|→∞). In this chapter many such dynamical issues are discussed; the main motivation is when T corresponds to the Schrödinger operator of a quantum system. Some related physical concepts, such as quantum return probability and test operators, are used to probe the large-time behaviors. The cornerstones of such results are the concepts of precompactness, almost periodicity and the Wiener and Riemann-Lebesgue lemmas.

Keywords

Spectral Measure Compact Operator Landau Level Quantum Dynamics Periodic Trajectory 
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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Copyright information

© Birkhäuser Verlag AG 2009

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