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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| Altres autors: | , |
| Sumari: | 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 |
| Idioma: | anglès |
| Publicat: |
2002
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| Matèries: | |
| Accés en línia: | http://link.springer.com/article/10.1023%2FA%3A1014719007121 |
| Format: | MixedMaterials Electrònic Capítol de llibre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636545 |
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| 200 | 1 | |a Semiclassical Trajectory-Coherent Approximations of Hartree-Type Equations |f V. V. Belov, A. Yu. Trifonov, A. V. Shapovalov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 416-418 (90 tit.)] | ||
| 330 | |a 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 | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Theoretical and Mathematical Physics |o Scientific Journal | ||
| 463 | |t Vol. 130, iss. 3 |v [P. 391-418] |d 2002 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Belov |b V. V. | |
| 701 | 1 | |a Trifonov |b A. Yu. |c physicist, mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1963- |g Andrey Yurievich |3 (RuTPU)RU\TPU\pers\30754 | |
| 701 | 1 | |a Shapovalov |b A. V. |c mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1949- |g Aleksandr Vasilyevich |3 (RuTPU)RU\TPU\pers\31734 | |
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