Abstract
Our theory of collective motions of open system [2,3] is generalized to the case of systems distributed inm-dimensional space. We propose a rigorous definition of a particle in terms of systems theory. A concrete image of a particle, conceived as a localized collective entity in Space, is obtained. It turns out that wave-corpuscle duality is nothing else but a simple consequence of general equations of collective motions: particles appear at the output as collective manifestations of inner states, and waves appear at the input as guiding waves of particles.
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References
Louis de Broglie, Introduction a la Nouvelle Theory des Particles. Gauther-Villar, Paris 1961.
M.S. Livŝic, in Commuting Nonselfadjoint Operators in Hilbert Space, Lecture Notes in Math. 1272, Springer-verlag, 1987, pp. 1–39.
M.S. Livŝic and Y. Avishai, A Study of Solitonic Combinations Based on the Theory of Commuting Non-Self-Adjoint Operators, Linear Algebra and its Applications 122/123/124: 357–414 (1989).
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The David and Helena Zlotowski chair in Operator Theory and Systems Theory.
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Livŝic, M.S. What is a particle from the standpoint of systems theory?. Integr equ oper theory 14, 552–563 (1991). https://doi.org/10.1007/BF01204265
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DOI: https://doi.org/10.1007/BF01204265