Abstract
Nelson’s Stochastic Mechanics (see, e.g., [10, 14, 20, 22, 25–27, 71, 72, 92–94, 96, 115, 116, 118–120]) is a mathematical subject based on the ideas of classical physics but giving the same predictions as quantum mechanics. Stochastic mechanics can be considered as the third method of quantization different from the well known Hamiltonian and Lagrangian (based on the path integrals) methods. Each of the methods has its own scope of applicability, they have a large intersection (where the results are equivalent), but none of them includes any other completely.
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© 1996 Springer Science+Business Media Dordrecht
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Gliklikh, Y.E. (1996). Nelson’S Stochastic Mechanics. In: Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics. Mathematics and Its Applications, vol 374. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8634-4_5
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DOI: https://doi.org/10.1007/978-94-015-8634-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4731-1
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