Semiclassical Trajectory-Coherent Approximations of Hartree-Type Equations; Theoretical and Mathematical Physics; Vol. 130, iss. 3
| Parent link: | Theoretical and Mathematical Physics: Scientific Journal Vol. 130, iss. 3.— 2002.— [P. 391-418] |
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| Zusammenfassung: | Title screen We use the concept of the complex WKB–Maslov method to construct semiclassically concentrated solutions for Hartree-type equations. Formal solutions of the Cauchy problem for this equation that are asymptotic (with respect to a small parameter h, h-0) are constructed with the power-law accuracy O(hN/2), where N=3 is a positive integer. The system of Hamilton–Ehrenfest equations (for averaged and centered moments) derived in this paper plays a significant role in constructing semiclassically concentrated solutions. In the class of semiclassically concentrated solutions of Hartree-type equations, we construct an approximate Green's function and state a nonlinear superposition principle Режим доступа: по договору с организацией-держателем ресурса |
| Sprache: | Englisch |
| Veröffentlicht: |
2002
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| Online-Zugang: | http://link.springer.com/article/10.1023%2FA%3A1014719007121 |
| Format: | Elektronisch Buchkapitel |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636545 |