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A nonlinear Schrödinger model for many-particle quantum systems
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نویسنده
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zhang q. ,ma t.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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Considering both effects of the s-wave scattering and the atom-atom interaction rather than only the effect of the s-wave scattering,we establish a nonlinear schrödinger model for many-particle quantum systems and we prove the global existence of a solution to the model and obtain the expression of the solution. furthermore,we show that the hamilton energy and the total particle number both are conservative quantities. © 2012 qiang zhang and tian ma.
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آدرس
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college of computer science,civil aviation flight university of china,guanghan 618307,china,department of mathematics,sichuan university, China, department of mathematics,sichuan university, China
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Authors
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