کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616879 | 1339361 | 2013 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic analysis of the Fourier transform of a probability measure with application to the quantum Zeno effect
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Asymptotic analysis of the Fourier transform of a probability measure with application to the quantum Zeno effect Asymptotic analysis of the Fourier transform of a probability measure with application to the quantum Zeno effect](/preview/png/4616879.png)
چکیده انگلیسی
Let μμ be a probability measure on the set RR of real numbers and μˆ(t):=∫Re−itλdμ(λ) (t∈Rt∈R) be the Fourier transform of μμ (ii is the imaginary unit). Then, under suitable conditions, asymptotic formulae for |μˆ(t/x)|2x in 1/x1/x as x→∞x→∞ are derived. These results are applied to the so-called quantum Zeno effect to establish asymptotic formulae for its occurrence probability in the inverse of the number NN of measurements made in a time interval as N→∞N→∞.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 403, Issue 1, 1 July 2013, Pages 193–199
Journal: Journal of Mathematical Analysis and Applications - Volume 403, Issue 1, 1 July 2013, Pages 193–199
نویسندگان
Asao Arai,