| 000 | 02575nlm0a2200337 4500 | ||
|---|---|---|---|
| 001 | 636531 | ||
| 005 | 20231030040137.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\540 | ||
| 090 | _a636531 | ||
| 100 | _a20140211a2004 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 102 | _aUA | ||
| 105 | _aa z 101zy | ||
| 135 | _adrnn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aSemiclassical Approach to the Geometric Phase Theory for the Hartree Type Equation _fA. V. Shapovalov, A. Yu. Trifonov, A. L. Lisok |
|
| 203 |
_aText _celectronic |
||
| 300 | _aTitle screen | ||
| 320 | _a[References: p. 1465 (17 tit.)] | ||
| 330 | _aQuasi-energy states and a spectrum of quasi-energies asymptotic in small parameter h (h-0) are constructed for a multidimensional Hartree type equation with non-local nonlinearity and with an external field cyclic in time. The quasi-energy states are a special case of trajectory coherent solutions of the Hartree type equation, which belong to the class of semiclassically concentrated functions. A function of this class describes a solitary wave localized in a neighborhood of a phase trajectory in the space of moments of the solution. The phase trajectory is closed due to the configuration of the external field. The Aharonov-Anandan geometric phases, which characterize a system “as a whole”, are found for the quasi-energy states in a semiclassical approximation accurate to O(h3/2), h-0 | ||
| 333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
| 463 |
_tSymmetry in Nonlinear Mathematical Physics, June 23-29, 2003, Kyiv (Kiev), Ukraine _oProceedings of Institute of Mathematics of NAS of Ukraine _v[P. 1454-1465] _d2004 |
||
| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 700 | 1 |
_aShapovalov _bA. V. _cmathematician _cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1949- _gAleksandr Vasilyevich _2stltpush _3(RuTPU)RU\TPU\pers\31734 |
|
| 701 | 1 |
_aTrifonov _bA. Yu. _cphysicist, mathematician _cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1963- _gAndrey Yurievich _2stltpush _3(RuTPU)RU\TPU\pers\30754 |
|
| 701 | 1 |
_aLisok _bA. L. _cphysicist _cAssociate Professor of Tomsk Polytechnic University, Candidate of physical and mathematical sciences _f1981- _gAleksandr Leonidovich _2stltpush _3(RuTPU)RU\TPU\pers\31739 |
|
| 801 | 2 |
_aRU _b63413507 _c20180306 _gRCR |
|
| 856 | 4 | _uhttp://www.imath.kiev.ua/~snmp2003/Proceedings/shapovalov.pdf | |
| 942 | _cCF | ||