کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10720857 1031566 2005 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamical symmetries of semi-linear Schrödinger and diffusion equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Dynamical symmetries of semi-linear Schrödinger and diffusion equations
چکیده انگلیسی
Conditional and Lie symmetries of semi-linear 1D Schrödinger and diffusion equations are studied if the mass (or the diffusion constant) is considered as an additional variable. In this way, dynamical symmetries of semi-linear Schrödinger equations become related to the parabolic and almost-parabolic subalgebras of a three-dimensional conformal Lie algebra (conf3)C. We consider non-hermitian representations and also include a dimensionful coupling constant of the non-linearity. The corresponding representations of the parabolic and almost-parabolic subalgebras of (conf3)C are classified and the complete list of conditionally invariant semi-linear Schrödinger equations is obtained. Possible applications to the dynamical scaling behaviour of phase-ordering kinetics are discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 723, Issue 3, 12 September 2005, Pages 205-233
نویسندگان
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