We prove here that the eigenvalues, eigenfunctions, and time evolutions for a broad class of spatially bounded, finite particle number, undriven, quantum systems can be computed by algorithms containing logarithmically less information than the quantities themselves. Algorithmic complexity theory asserts that such quantal systems are nonchaotic. These results are shown to be valid independent of the size of system parameters such as mass or Planck's constant, provided they are not set equal to zero or infinity.However, rather than confronting quantum mechanics with classical mechanics via the correspondence principle, we suggest a direct comparison of quantum mechanics with macroscopic laboratory reality.Specifically, we here propose the double pendulum -a simple, two-degree-of-freedom, macroscopic system exhibiting a transition to chaos as its amplitude increases -as a model suitable for testing whether a nonchaotic quantum mechanics can accurately predict laboratory observation. Neither theory nor experiment appears to offer insurmountable difficulties to the performance of this comparison.PACS number(s): 03.65. Bz, 05.45.+b, 31.15.+ q
Two short-period InAs/AlSb superlattices, grown with an AlAs-like interface and an InSb-like interface, respectively, were studied with Raman spectroscopy, x-ray diffraction, and ellipsometry. Our measurements show that the InSb-like interface grows perfectly pseudomorphically, whereas the sample with the AlAs-like interface shows indications of relaxation and As interdiffusion. This different interface quality seems to be a fundamental problem, rather than the result of the growth technique.
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