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On applications of Maupertuis-Jacobi correspondence for Hamiltonians $F(x,|p|)$ in some 2-D stationary semiclassical problems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dobrokhotov, S. Minenkov, D. Rouleux, M. |
| Copyright Year | 2014 |
| Abstract | UDK 517.9 We make use of the Maupertuis – Jacobi correspondence, well known in Classical Mechanics, to simplify 2-D asymptotic formulas based on Maslov’s canonical operator, when constructing Lagrangian manifolds invariant with respect to phase flows for Hamiltonians of the form F (x, |p|). As examples we consider Hamiltonians coming from the Schrödinger equation, the 2-D Dirac equation for graphene and linear water wave theory. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/1409.3170v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
