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Quantum Mechanics and Classical Physics

N. Rosen

Published Jan 1, 1990• 0 citations
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The ubiquity of chaos in classical mechanics (CM), as opposed to the situation in standard quantum mechanics (QM), might be taken as speaking against QM being the fundamental theory of physical phenomena. Bohmian mechanics (BM), as a formulation of quantum theory, may clarify both the existence of chaos in the quantum domain and the nature of the classical limit. Two interesting possibilities are (i) that CM and classical chaos are included in and underwritten by quantum mechanics (BM) or (ii) that BM and CM simply possess a common region of (noninclusive) overlap. In the latter case, neither CM nor QM alone would be sufficient, even in principle, to account for all of the physical phenomena we encounter. In this talk I shall summarize and discuss the implications of some recent work on chaos and on the classical limit within the framework of BM.

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Classical and Quantum Physics

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The ubiquity of chaos in classical mechanics (CM), as opposed to the situation in standard quantum mechanics (QM), might be taken as speaking against QM being the fundamental theory of physical phenomena. Bohmian mechanics (BM), as a formulation of quantum theory, may clarify both the existence of chaos in the quantum domain and the nature of the classical limit. Two interesting possibilities are (i) that CM and classical chaos are included in and underwritten by quantum mechanics (BM) or (ii) that BM and CM simply possess a common region of (noninclusive) overlap. In the latter case, neither CM nor QM alone would be sufficient, even in principle, to account for all of the physical phenomena we encounter. In this talk I shall summarize and discuss the implications of some recent work on chaos and on the classical limit within the framework of BM.
We present a particle model which was developed to explain special relativity by classical means. This model is also able to account for physical processes that are normally attributed to quantum mechanics. The model is able to describe several well-known QM processes by means of classical calculations, making them accessible to the imagination. An essential difference compared with the Standard Model of present-day particle physics is the fact that, in the model presented, particles are viewed as being extended rather than point-like. In addition, the strong force is shown to be the universal force operating in all particles. Also, the photon, which quantum mechanics views as being nothing but a quantum of energy, can be understood to have an internal structure. The model presented here is not merely a different way of explaining physics with similar results; in contrast to quantum mechanics, it has the ability to provide deeper insights into physical processes.
Schordinger's equation is the basical equation of quantum mechanics,which is equivalent to Newton's motion equation in classical physics. This paper compares the differences between quantum mechanics and classical physics by means of discussing the description of motion state and the expression of mechanic quantity of microcosmic particles in Schordinger's equation. It can be seen in this paper that the basical principle of quantum mechanics is the statistical one, while the basical principle of classical physics is the determinism and the strict causality. But under the h→0 limit in Planck constant, quantum mechanics will go beyond normal limit to classical physics.