Wavelet approach to accelerator problems. 2: Metaplectic wavelets

Conference · Thu May 01 00:00:00 EDT 1997

OSTI ID:634039

Fedorova, A; Zeitlin, M ^[1]; Parsa, Z ^[2]

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1. Russian Academy of Sciences, St. Petersburg (Russian Federation). Inst. of Problems of Mechanical Engineering
2. Brookhaven National Lab., Upton, NY (United States). Dept. of Physics

This is the second part of a series of talks in which the authors present applications of wavelet analysis to polynomial approximations for a number of accelerator physics problems. According to the orbit method and by using construction from the geometric quantization theory they construct the symplectic and Poisson structures associated with generalized wavelets by using metaplectic structure and corresponding polarization. The key point is a consideration of semidirect product of Heisenberg group and metaplectic group as subgroup of automorphisms group of dual to symplectic space, which consists of elements acting by affine transformations.

• Research Organization: Brookhaven National Lab. (BNL), Upton, NY (United States)
• Sponsoring Organization: USDOE Office of Energy Research, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 634039
• Report Number(s): BNL-64502; CAP-171-MISC-97C; CONF-970503-; ON: DE97007727; BR: KA0403; CNN: Grant NSF PHY94-07194; TRN: 98:009724
• Resource Relation: Conference: 17. IEEE particle accelerator conference, Vancouver (Canada), 12-16 May 1997; Other Information: PBD: May 1997
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
NONLINEAR PROBLEMS
POISSON EQUATION
POLYNOMIALS
POLARIZATION
GROUP THEORY