The trajectory-coherent approximation and the system of moments for the Hartree type equation; International Journal of Mathematics and Mathematical Sciences; Vol. 32, iss. 6
| Parent link: | International Journal of Mathematics and Mathematical Sciences: Scientific Journal Vol. 32, iss. 6.— 2002.— [P. 325-370] |
|---|---|
| Yazar: | |
| Diğer Yazarlar: | , |
| Özet: | Title screen The general construction of semiclassically concentrated solutions to the Hartree typeequation, based on the complex WKB-Maslov method, is presented. The formal solutions of the Cauchy problem for this equation, asymptotic in small parameter h (h- 0), are constructed with a power accuracy of O(hN/2), where N is any natural number. In constructing the semiclassically concentrated solutions, a set of Hamilton-Ehrenfest equations (equations for centered moments) is essentially used. The nonlinear superposition principle has been formulated for the class of semiclassically concentrated solutions of Hartree type equations. The results obtained are exemplified by a one-dimensional Hartree type equation with a Gaussian potential |
| Dil: | İngilizce |
| Baskı/Yayın Bilgisi: |
2002
|
| Konular: | |
| Online Erişim: | http://www.hindawi.com/journals/ijmms/2002/931236/abs/ |
| Materyal Türü: | Elektronik Kitap Bölümü |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636547 |
MARC
| LEADER | 00000nla0a2200000 4500 | ||
|---|---|---|---|
| 001 | 636547 | ||
| 005 | 20250331091834.0 | ||
| 035 | |a (RuTPU)RU\TPU\network\558 | ||
| 035 | |a RU\TPU\network\556 | ||
| 090 | |a 636547 | ||
| 100 | |a 20140212d2002 k||y0rusy50 ba | ||
| 101 | 0 | |a eng | |
| 102 | |a US | ||
| 135 | |a drnn ---uucaa | ||
| 181 | 0 | |a i | |
| 182 | 0 | |a b | |
| 200 | 1 | |a The trajectory-coherent approximation and the system of moments for the Hartree type equation |f V. V. Belov, A. Yu. Trifonov, A. V. Shapovalov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 368-370 (53 titю)] | ||
| 330 | |a The general construction of semiclassically concentrated solutions to the Hartree typeequation, based on the complex WKB-Maslov method, is presented. The formal solutions of the Cauchy problem for this equation, asymptotic in small parameter h (h- 0), are constructed with a power accuracy of O(hN/2), where N is any natural number. In constructing the semiclassically concentrated solutions, a set of Hamilton-Ehrenfest equations (equations for centered moments) is essentially used. The nonlinear superposition principle has been formulated for the class of semiclassically concentrated solutions of Hartree type equations. The results obtained are exemplified by a one-dimensional Hartree type equation with a Gaussian potential | ||
| 461 | |t International Journal of Mathematics and Mathematical Sciences |o Scientific Journal | ||
| 463 | |t Vol. 32, iss. 6 |v [P. 325-370] |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 | |
| 801 | 2 | |a RU |b 63413507 |c 20180306 |g RCR | |
| 856 | 4 | |u http://www.hindawi.com/journals/ijmms/2002/931236/abs/ | |
| 942 | |c CF | ||