Higher-order &plank; corrections in the semiclassical quantization of chaotic billiards
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چکیده
منابع مشابه
Higher-order ~ corrections in the semiclassical quantization of chaotic billiards
Abstract. In the periodic orbit quantization of physical systems, usually only the leading-order ~ contribution to the density of states is considered. Therefore, by construction, the eigenvalues following from semiclassical trace formulae generally agree with the exact quantum ones only to lowest order of ~. In different theoretical work the trace formulae have been extended to higher orders o...
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Asymptotic Statistics of Nodal Domains of Quantum Chaotic Billiards in the Semiclassical Limit
Quantum chaos concerns eigenfunctions of the Laplace operator in a domain where a billiard ball would bounce chaotically. Such chaotic eigenfunctions have been conjectured to share statistical properties of their nodal domains with a simple percolation model, from which many interesting quantities can be computed analytically. We numerically test conjectures on the number and size of nodal doma...
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ژورنال
عنوان ژورنال: The European Physical Journal D - Atomic, Molecular and Optical Physics
سال: 2002
ISSN: 1434-6060,1434-6079
DOI: 10.1140/epjd/e20020087