کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1854971 1529872 2013 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Canonical quantization of classical mechanics in curvilinear coordinates. Invariant quantization procedure
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Canonical quantization of classical mechanics in curvilinear coordinates. Invariant quantization procedure
چکیده انگلیسی
In the paper is presented an invariant quantization procedure of classical mechanics on the phase space over flat configuration space. Then, the passage to an operator representation of quantum mechanics in a Hilbert space over configuration space is derived. An explicit form of position and momentum operators as well as their appropriate ordering in arbitrary curvilinear coordinates is demonstrated. Finally, the extension of presented formalism onto non-flat case and related ambiguities of the process of quantization are discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 339, December 2013, Pages 89-108
نویسندگان
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