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Can I read Multi-scale semiclassical approximations for Schrödinger propagators on manifolds on EtoBox?
Multi-scale semiclassical approximations for Schrödinger propagators on manifolds by F.H. Molzahn; T.A. Osborn; S.A. Fulling is a Physics and Astronomy article available to read on EtoBox.
What is Multi-scale semiclassical approximations for Schrödinger propagators on manifolds about?
Exponential representations of the Schr~dinger propagator are constructs for an interacting quantum system on a semi-Riemarmian manifold M. For a local fundamental solution of the time dependent Schrodinger equation, the higher-order WK3 approximation is re-expanded in the scaling parameter s responsible for the gauge invariant derivative expansion. The geometrical methods which establish the consistency between the WKB and e expansions involve a perturbative analysis of the classical dynamics on M which employs the Green function of the inhomogeneous geodesic deviation equation. The analysis applies when both propagator arguments lie in a region which is convex with respect to the classical motion. A multi-scale analysis in the parameters fi, s, charge 2 and time displacement At is performed, leading to simple basic coeficient functions and their recurrence relations. These propagator representations display.exphcitly the interplay between the local geometry of the manifold and the effects of the background electromagnetic fields.
Who reads Multi-scale semiclassical approximations for Schrödinger propagators on manifolds?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- F.H. Molzahn; T.A. Osborn; S.A. Fulling
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0003-4916)
- Published
- 1992
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)