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Titlebook: Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics; Khavtgain Namsrai Book 1986 D. Reidel Publishing Company, Dordrecht, Holla

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发表于 2025-3-21 17:18:48 | 显示全部楼层 |阅读模式
书目名称Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics
编辑Khavtgain Namsrai
视频video
丛书名称Fundamental Theories of Physics
图书封面Titlebook: Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics;  Khavtgain Namsrai Book 1986 D. Reidel Publishing Company, Dordrecht, Holla
描述over this stochastic space-time leads to the non local fields considered by G. V. Efimov. In other words, stochasticity of space-time (after being averaged on a large scale) as a self-memory makes the theory nonlocal. This allows one to consider in a unified way the effect of stochasticity (or nonlocality) in all physical processes. Moreover, the universal character of this hypothesis of space-time at small distances enables us to re-interpret the dynamics of stochastic particles and to study some important problems of the theory of stochastic processes [such as the relativistic description of diffusion, Feynman­ type processes, and the problem of the origin of self-turbulence in the motion of free particles within nonlinear (stochastic) mechanics]. In this direction our approach (Part II) may be useful in recent developments of the stochastic interpretation of quantum mechanics and fields due to E. Nelson, D. Kershaw, I. Fenyes, F. Guerra, de la Pena-Auerbach, J. -P. Vigier, M. Davidson, and others. In particular, as shown by N. Cufaro Petroni and J. -P. Vigier, within the discussed approach, a causal action-at-distance interpretation of a series of experiments by A. Aspect and hi
出版日期Book 1986
关键词Algebra; Markov; Schrödinger equation; Soliton; calculus; matrix theory; mechanics; model; operator; quantum
版次1
doihttps://doi.org/10.1007/978-94-009-4518-0
isbn_softcover978-94-010-8513-7
isbn_ebook978-94-009-4518-0Series ISSN 0168-1222 Series E-ISSN 2365-6425
issn_series 0168-1222
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1986
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发表于 2025-3-21 22:32:09 | 显示全部楼层
Book 1986raged on a large scale) as a self-memory makes the theory nonlocal. This allows one to consider in a unified way the effect of stochasticity (or nonlocality) in all physical processes. Moreover, the universal character of this hypothesis of space-time at small distances enables us to re-interpret th
发表于 2025-3-22 04:19:15 | 显示全部楼层
Functional Integral Techniques in Quantum Field Theoryies. Substantial success in the applications of . has been obtained in . In this chapter the main attention is focussed on this problem, which was considered in more detail by Simon (1979); Glimm and Jaffe (1981); especially in the cases of gauge fields by Nash (1978); Faddeev and Slavnov (1980); and of stochastic fields by Langouche .. (1979).
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Foundation of the Nonlocal Model of Quantized Fieldsion. Another field approach is connected with names of Garding, Wightman, Haag, Lehmann, Symanzik and Zimmermann, etc. The mathematical fundamentals of QFT were given in a series of monographs [see, for example, Bogolubov .. (1958), Streater and Wightman (1964), Jost (1965), and Bogolubov .. (1975)].
发表于 2025-3-22 18:36:27 | 显示全部楼层
The Basic Problems of Nonlocal Quantum Field Theoryinstein relation between momentum and energy . = (. + .). to be valid for extended fields constructed by means of the relativistic invariant distributions.(.□) (1.11), then they will satisfy free field equations, for example, in the case of the one-component scalar field .(.) = .(.):
发表于 2025-3-22 21:49:07 | 显示全部楼层
Selected Topics in Stochastic Mechanicsrra (1981) and Moore (1980). We believe that the full clarification of the deep connection between these two approaches will be a major step toward a better understanding of the physical foundations of quantum mechanics.
发表于 2025-3-23 04:46:13 | 显示全部楼层
Further Developments in Stochastic Quantization of gauge fields, and the use of new techniques and concepts. A central role in these ideas is played by the fact that there exist stochastic solutions of a simple variant of the Yang-Mills theory, obtained by Matinyan .. (1981a, b); Chirikov and Shepelyansky (1981).
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