Titlebook: Markov Processes and Quantum Theory; Masao Nagasawa Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to

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Mechanics of Random Motion, introduce this as a hypothesis (.) and adopt it in this book. Then, classical mechanics no longer describes the motion of such particles, because their paths are not smooth, i.e., do not admit a tangent. Therefore, a new equation of motion is needed for such small particles. We will develop here a

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Applications,ndom motion. The Schrodinger equation determines stochastic processes through the equations of motion, and then we can derive the kinematics equation and the path equation. We will first discuss the random motion induced by the Coulomb potential. Then the motion of charged particles in a magnetic fi

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Extinction and Creation,atural phenomena, particles may disappear suddenly and may multiply. In this chapter we will discuss problems of particle extinction (annihilation) and multiplication. First of all, we will deal with particle extinction in the theory of Markov processes. We will define the lifetime of a particle and

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Masao Nagasawae domain of those equations to a suitable neighborhood N of a given assigned configuration C. On the other hand two configurations C. and C. may have different, non-isomorphic invariance groups for the restrictions of the constitutive equations to the analogues N. and N. of the neighborhood N, and E

Introduction

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Masao Nagasawa has proven extremely successful for jamming, demonstrating its predictive power in the context of metastable glassy states obtained through nonequilibrium protocols... .978-3-319-86861-5978-3-319-60423-7Series ISSN 2190-5053 Series E-ISSN 2190-5061

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ur. ..The monograph will serve both as comprehensive introduction and as reference for graduate students and researchers interested in metastability..978-3-319-79676-5978-3-319-24777-9Series ISSN 0072-7830 Series E-ISSN 2196-9701

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Momentum, Kinetic Energy, Locality,In Chap. . we discussed the foundations of a new quantum theory and the paths of random motion under the action of external forces, and in Chap. . we gave some applications of our theory.

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