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arXiv quant-ph/9805078quant-phchao-dynnlin.CD
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量子力学及其他领域中动力学复杂性的新概念

New Concept of Dynamic Complexity in Quantum Mechanics and Beyond

Andrei P. Kirilyuk

摘要:

量子力学中动态复杂性的定性新概念是基于一种新的范式,这种范式出现在对一般哈密顿系统的薛定谔方程的非微扰分析中。非约化分析明确地提供了完整的、一致的解,作为一组许多不相容的成分("实现"),它们应该永久地和概率地相互替换,因为它们中的每一个在普通意义上都是"完整的"。这一发现导致了普遍适用的动态复杂性和自洽的概念,量子混沌,量子测量,不确定性和波减少的停滞问题的现实解决方案。量子行为本身的奇特的、"神秘的"特征现在被看作是在现实结构(现在完全是因果的)的相应最低层次上相互作用的场的动态复杂的、内在多值的行为的结果。这种新的方法将规范理论的结果简化为一种过度简化的极限情况,迫切需要支持,因为它的因果关系和完备性可以直接扩展到真实系统复杂行为的任意情况,与原始机械论(即,“计算机实验”)的主导低效的实验主义形成鲜明对比。e.动态单值)的不可约多值现实的“模型”。

英文摘要:

The qualitatively new concept of dynamic complexity in quantum mechanics is based on a new paradigm appearing within a nonperturbational analysis of the Schroedinger equation for a generic Hamiltonian system. The unreduced analysis explicitly provides the complete, consistent solution as a set of many incompatible components ('realisations') which should permanently and probabilistically replace one another, since each of them is 'complete' in the ordinary sense. This discovery leads to the universally applicable concept of dynamic complexity and self-consistent, realistic resolution of the stagnating problems of quantum chaos, quantum measurement, indeterminacy and wave reduction. The peculiar, 'mysterious' character of quantum behaviour itself is seen now as a result of a dynamically complex, intrinsically multivalued behaviour of interacting fields at the corresponding lowest levels of the (now completely causal) structure of reality. Incorporating the results of the canonical theories as an over-simplified limiting case, this new approach urgently needs support, since its causality and completeness are directly extendible to arbitrary cases of complex behaviour of real systems, in sharp contrast to the dominating inefficient empiricism of 'computer experimentation' with primitive mechanistic (i. e. dynamically single-valued) 'models' of the irreducibly multivalued reality.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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