کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1857700 1529938 2008 36 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new variational perturbation method for double-well oscillators
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
A new variational perturbation method for double-well oscillators
چکیده انگلیسی

We propose a variational perturbation method based on the observation that eigenvalues of each parity sector of both the anharmonic and double-well oscillators are approximately equi-distanced. The generalized deformed algebra satisfied by the invariant operators of the systems provides well defined Hilbert spaces to both of the oscillators. There appears a natural expansion parameter defined by the ratio of length scales of the trial wavefunctions. The energies of the ground state and the first order excited state, in the zeroth order variational approximation, are obtained with errors <10−2% for vast range of the coupling strength for both oscillators. An iterative formula is presented which perturbatively generates higher order corrections from the lower order invariant operators and the first order correction is explicitly given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 323, Issue 6, June 2008, Pages 1424–1459
نویسندگان
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