Large deviation principle for the field in prequantum classical statistical field theory

Khrennikov Andrei; Majid Achref

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Large deviation principle for the field in prequantum classical statistical field theory

机译：前风化典型统计场理论中域的大偏差原理

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摘要

In this paper, we prove a large deviation principle for the background field in prequantum statistical field model. We show a number of examples by choosing a specific random field in our model.

机译：在本文中，我们证明了预结统计场模型中的背景领域的大偏差原理。我们通过在模型中选择特定的随机字段来显示许多示例。

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来源
《Infinite dimensional analysis, quantum probability, and related topics》 |2017年第4期|共12页
作者
Khrennikov Andrei; Majid Achref;
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作者单位

Univ Vaxjo Int Ctr Math Modeling Phys &

Cognit Sci S-35195 Vaxjo Sweden;

Univ Tunis El Manar Fac Sci Tunis Dept Math Tunis Tunisia;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Prequantum classical statistical field theory; white noise theory; large deviation principle;

机译：预结古典统计场理论;白噪声理论;大偏差原理;

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专利

1. Large deviation principle for the field in prequantum classical statistical field theory [J] . Khrennikov Andrei, Majid Achref Infinite dimensional analysis, quantum probability, and related topics . 2017,第4期

机译：前风化典型统计场理论中域的大偏差原理
2. Prequantum Classical Statistical Field Theory: Schr?dinger Dynamics of Entangled Systems as a Classical Stochastic Process [J] . Khrennikov A. Foundations of Physics: An International Journal Devoted to the Conceptual Bases and Fundamental Theories of Modern Physics, Biophysics & Cosmology . 2011,第3期

机译：量子前经典统计场论：作为经典随机过程的纠缠系统的薛定er动力学
3. PREQUANTUM CLASSICAL STATISTICAL FIELD THEORY: SIMULATION OF PROBABILITIES OF PHOTON DETECTION FROM BROWNIAN MOTION INTERACTING WITH THRESHOLD DETECTORS [J] . Khrennikov Andrei, Bazhanov Artem Journal of Russian laser research . 2015,第3期

机译：峰前经典统计场理论：通过布朗运动与阈值检测器交互作用进行光子检测的概率模拟
4. Prequantum Classical Statistical Field Theory: Fundamentals [C] . Andrei Khrennikov International Conference on Advances in Quantum Theory . 2011

机译：预结古典统计领域理论：基础知识
5. Applications of Stein's Method and Large Deviations Principle's in Mean-Field O(N) Models [D] . Nawaz, Tayyab. 2017

机译：Stein的方法和大偏差原理在平均字段O（n）模型中的应用
6. Response to Commentary on Force-field functor theory: classical force-fields which reproduce equilibrium quantum distributions [O] . Ryan Babbush, John A. Parkhill, Alán Aspuru-Guzik 2013

机译：对力场函子理论：再现平衡量子分布的经典力场评论的回应
7. Nonlinear Schr"odinger equations from prequantum classical statistical field theory [O] . Khrennikov, Andrei 2006

机译：来自预量子经典统计量的非线性schr \“odinger方程场论

Large deviation principle for the field in prequantum classical statistical field theory

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