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|a 20140204d2005 k||y0rusy50 ba
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|a eng
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|a Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential
|f F. N. Litvinets, A. Yu. Trifonov, A. V. Shapovalov
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| 203 |
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|a Text
|c electronic
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| 300 |
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|a Title screen
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| 320 |
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|a [References: 35 tit.]
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|a A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for the nonstationary Gross -- Pitaevskii equation with nonlocal nonlinearity and a quadratic potential. The asymptotic parameter is 1/T, where T>1 is the adiabatic evolution time. A generalization of the Berry phase of the linear Schr\"odinger equation is formulated for the Gross-Pitaevskii equation. For the solutions constructed, the Berry phases are found in explicit form
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| 463 |
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|t Arxiv.org
|v Mathematical Physics
|d 2005
|
| 610 |
1 |
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|a электронный ресурс
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| 610 |
1 |
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|a труды учёных ТПУ
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| 700 |
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1 |
|a Litvinets
|b F. N.
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| 701 |
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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
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| 701 |
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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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| 801 |
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2 |
|a RU
|b 63413507
|c 20180306
|g RCR
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| 856 |
4 |
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|u http://arxiv.org/abs/math-ph/0510054
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| 942 |
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|c CF
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