Quantum Uncertainty and the Spectra of Symmetric Operators
نویسندگان
چکیده
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولSpectra of Compact Composition Operators Over Bounded Symmetric Domains
Let H(D) denote the Hardy space of a bounded symmetric domain D ⊂ C in its standard Harish-Chandra realization, and let Aα(D) be the weighted Bergman space with p ≥ 1 and α < εD, where εD is a critical value depending on D. Suppose that φ : D → D is holomorphic. We show that if the composition operator Cφ defined by Cφ(f) = f ◦ φ is compact (or, more generally, power-compact) on H(D) or Aα(D), ...
متن کاملHigh Resolution Quantum Recurrence Spectra: Beyond the Uncertainty Principle
Highly resolved recurrence spectra are obtained by harmonic inversion of quantum spectra of classically chaotic systems and compared in detail to the results of semiclassical periodic orbit and closed orbit theory. Our analysis is sensitive to separate orbits with nearly degenerate recurrence periods and uncovers complex (“ghost”) orbits even when they are hidden behind close-by real orbits. Th...
متن کاملRandom operators : disorder effects on quantum spectra and dynamics
Anderson localization is one of the most important and fascinating phenomena arising from quantum theory. Physically, it is best described by the fact that the introduction of disorder into a quantum system leads to a strong tendency towards the absence of wave transport. This explains theoretically why the presence of random impurities in a conducting crystalline metal will generally turn it i...
متن کاملSpherically Symmetric Quantum Geometry: States and Basic Operators
The kinematical setting of spherically symmetric quantum geometry, derived from the full theory of loop quantum gravity, is developed. This extends previous studies of homogeneous models to inhomogeneous ones where interesting field theory aspects arise. A comparison between a reduced quantization and a derivation of the model from the full theory is presented in detail, with an emphasis on the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Applicandae Mathematicae
سال: 2008
ISSN: 0167-8019,1572-9036
DOI: 10.1007/s10440-008-9302-7