کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9789645 | 1512913 | 2005 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
From probabilities to quantum and classical mechanics
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی مواد
مواد الکترونیکی، نوری و مغناطیسی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
Probabilistic description of results of measurements and its consequences for understanding quantum mechanics are discussed. It is shown that basic mathematical structures of quantum mechanics like the probability amplitudes, Born rule, commutation and uncertainty relations, momentum operator, probability density current, rules for including the scalar and vector potentials and antiparticles can be obtained from the definition of the mean values of powers of the space coordinates and time. Equations of motion of quantum mechanics, the Klein-Gordon equation, Schrödinger equation and Dirac equation, are obtained from the requirement of relativistic invariance of the theory. Limit case of localized probability densities yields the Hamilton-Jacobi equation of classical mechanics. Many particle systems are also discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica E: Low-dimensional Systems and Nanostructures - Volume 29, Issues 1â2, October 2005, Pages 119-128
Journal: Physica E: Low-dimensional Systems and Nanostructures - Volume 29, Issues 1â2, October 2005, Pages 119-128
نویسندگان
LubomÃr Skála, VojtÄch Kapsa,