Semiclassical quantization of skipping orbits
نویسندگان
چکیده
منابع مشابه
Semiclassical quantization with bifurcating orbits
Bifurcations of classical orbits introduce divergences into semiclassical spectra which have to be smoothed with the help of uniform approximations. We develop a technique to extract individual energy levels from semiclassical spectra involving uniform approximations. As a prototype example, the method is shown to yield excellent results for photoabsorption spectra for the hydrogen atom in an e...
متن کاملSemiclassical quantization using diffractive orbits.
Diffraction, in the context of semiclassical mechanics, describes the manner in which quantum mechanics smooths over discontinuities in the classical mechanics. An important example is a billiard with sharp corners; its semiclassical quantisation requires the inclusion of diffractive periodic orbits in addition to classical periodic orbits. In this paper we construct the corresponding zeta func...
متن کاملQuantization of Nilpotent Coadjoint Orbits Quantization of Nilpotent Coadjoint Orbits Quantization of Nilpotent Coadjoint Orbits
Let G be a complex reductive group. We study the problem of associating Dixmier algebras to nilpotent (co)adjoint orbits of G, or, more generally, to orbit data for G. If g = 0 + n + in is a triangular decomposition of g and 0 is a nilpotent orbit, we consider the irreducible components of 0 n n, which are Lagrangian subvarieties of 0. The main idea is to construct, starting with certain "good"...
متن کاملSemiclassical singularities from bifurcating orbits.
We investigated numerically, for a generic quantum system (a kicked top), how the singular behavior of classical systems at bifurcations is reflected by their quantum counterpart. Good agreement is found with semiclassical predictions.
متن کاملSemiclassical Quantization of Giant Gravitons
We study excited spherical branes (“giant gravitons”) in AdS × S spacetimes with background flux. For large excitation, these branes may be treated semiclassically. We compute their spectra using Bohr-Sommerfeld quantization and use the AdS/CFT correspondence to relate them to anomalous dimensions in the dual field theory at strong coupling, expressed as a series expansion in powers of 1/N . Th...
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: The European Physical Journal B
سال: 2011
ISSN: 1434-6028,1434-6036
DOI: 10.1140/epjb/e2010-10584-y