کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1855966 1529849 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Path integral quantization corresponding to the deformed Heisenberg algebra
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Path integral quantization corresponding to the deformed Heisenberg algebra
چکیده انگلیسی

In this paper, the deformation of the Heisenberg algebra, consistent with both the generalized uncertainty principle and doubly special relativity, has been analyzed. It has been observed that, though this algebra can give rise to fractional derivative terms in the corresponding quantum mechanical Hamiltonian, a formal meaning can be given to them by using the theory of harmonic extensions of function. Depending on this argument, the expression of the propagator of the path integral corresponding to the deformed Heisenberg algebra, has been obtained. In particular, the consistent expression of the one dimensional free particle propagator has been evaluated explicitly. With this propagator in hand, it has been shown that, even in free particle case, normal generalized uncertainty principle and doubly special relativity show very much different result.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 362, November 2015, Pages 24–35
نویسندگان
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