ON THE UNCERTAINTY RELATIONS IN STOCHASTIC MECHANICS

DIMITAR A. TRIFONOV; BLAGOVEST A. NIKOLOV; IVAILO M. MLADENOV

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ON THE UNCERTAINTY RELATIONS IN STOCHASTIC MECHANICS

机译：随机力学中的不确定性关系

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It is shown that the Bohm equations for the phase S and squared modulus p of the quantum mechanical wave function can be derived from the classical ensem-ble equations admiting an aditional momentum p, of the form proportional to the osmotic velocity in the Nelson stochastic mechanics and using the variational prin-ciple with appropriate change of variables. The possibility to treat gradS and p_s as two parts of the momentum of quantum ensemble particles is considered from the view point of uncertainty relations of Robertson - Schrodinger type on the examples of the stochastic image of quantum mechanical canonical coherent and squeezed states.

机译：结果表明，量子力学波函数的S相和平方模数p的Bohm方程可以从纳森纳随机力学中与渗透速度成正比的形式的经典动量方程中得出，该方程可以考虑附加的动量p。并在变量适当变化的情况下使用变分原理。从Robertson-Schrodinger型不确定性关系的角度，以量子力学正则相干态和压缩态的随机图像为例，考虑将gradS和p_s视为量子整体粒子动量的两个部分的可能性。

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《Journal of geometry and symmetry in physics》 |2009年第null期|共19页
作者
DIMITAR A. TRIFONOV; BLAGOVEST A. NIKOLOV; IVAILO M. MLADENOV;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
momentum; quantum; variational;

机译：动量;量子;变分;

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专利

1. ON THE UNCERTAINTY RELATIONS IN STOCHASTIC MECHANICS [J] . DIMITAR A. TRIFONOV, BLAGOVEST A. NIKOLOV, IVAILO M. MLADENOV Journal of geometry and symmetry in physics . 2009,第Null期

机译：随机力学中的不确定性关系
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机译：高斯不确定性的固体力学中基于双重迭代随机摄动的有限元方法
3. Special issue 'Uncertainty quantification in structural analysis and design: To commemorate Professor Gerhart I. Schueller for his life-time contribution in the area of computational stochastic mechanics' [J] . Hector A. Jensen, Michael Beer Computers & Structures . 2013,第sepa期

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4. Relations between information theory, robustness, and statistical mechanics of stochastic systems [C] . Charalambous, C.D., Rezaei, . 2004

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5. Model, identification & analysis of complex stochastic systems: Applications in stochastic partial differential equations and multiscale mechanics. [D] . Das, Sonjoy. 2008

机译：复杂随机系统的模型，识别和分析：在随机偏微分方程和多尺度力学中的应用。
6. Model-free uncertainty estimation in stochastical optical fluctuation imaging (SOFI) leads to a doubled temporal resolution [O] . Wim Vandenberg, Sam Duwé, Marcel Leutenegger, 2016

机译：随机光学波动成像（SOFI）中的无模型不确定性估计可将时间分辨率提高一倍
7. The Heisenberg Uncertainty Principle as an Endogenous Equilibrium Property of Stochastic Optimal Control Systems in Quantum Mechanics [O] . Jussi Lindgren, Jukka Liukkonen 2020

机译：Heisenberg不确定原理作为量子力学随机最佳控制系统的内源性平衡性能
8. Uncertainty and Intelligence in Computational Stochastic Mechanics [R] . Ayyub, Bilal M. 1996

机译：计算随机力学中的不确定性与智能

ON THE UNCERTAINTY RELATIONS IN STOCHASTIC MECHANICS

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