کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7382820 | 1480180 | 2014 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Classical limit of quantum mechanics induced by continuous measurements
ترجمه فارسی عنوان
محدودیت کلاسیک مکانیک کوانتومی ناشی از اندازه گیری های پیوسته است
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
We investigate the quantum-classical transition problem. The main issue addressed is how quantum mechanics can reproduce results provided by Newton's laws of motion. We show that the measurement process is critical to resolve this issue. In the limit of continuous monitoring with minimal intervention the classical limit is reached. The Classical Limit of Quantum Mechanic, in Newtonian sense, is determined by two parameters: the semiclassical time (Ïsc) and the time interval between measurements (ÎÏu). If is ÎÏu small enough, comparing with the Ïsc, then the classical regime is achieved. The semiclassical time for Gaussian initial states coincides with the Ehrenfest time. We also show that the classical limit of an ensemble of Newtonian trajectories, the Liouville regime, is approximately obtained for the quartic oscillator model if the number of measurements in the time interval is large enough to destroy the revival and small enough to not reach the Newtonian regime. Namely, the Newtonian regime occurs when Ïscâ«ÎÏu and the Liouvillian regime is mimicked, for the position observable, if ÎÏuâ[Ïsc,TR], where TR is the revival time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 393, 1 January 2014, Pages 655-668
Journal: Physica A: Statistical Mechanics and its Applications - Volume 393, 1 January 2014, Pages 655-668
نویسندگان
Adélcio C. Oliveira,