کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
979616 933376 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalized metric phase space for quantum systems and the uncertainty principle
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Generalized metric phase space for quantum systems and the uncertainty principle
چکیده انگلیسی

We demonstrate that when the Gibbs entropy is an invariant of motion, following Information Theory procedures it is possible to define a generalized metric phase space for the temporal evolution of the mean values of a given Hamiltonian. The metric is positive definite and this fact leads to a metric tensor, K(t)K(t), whose properties are well defined. Working with these properties we shown that: (a) the Generalized Uncertainty Principle (GUP), is always the summation over the principal minors of order 2 belonging to K(t)K(t); (b) several invariants of motion can be derived from the metric tensor; and (c) particularly, under certain conditions, the GUP itself, is also a motion invariant.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 377, Issue 1, 1 April 2007, Pages 33–42
نویسندگان
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