caa a22 4500 475839161 CHVBK 20180406123856.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1023/A:1010728204115 doi (NATIONALLICENCE)springer-10.1023/A:1010728204115 Namiki Mikio Department of Physics, Waseda University, 169-8555, Tokyo, Japan aut Quantum Mechanics and Brownian Motions [Elektronische Daten] [Mikio Namiki] From the point of view that the present formulation of quantum mechanics is very close to the theory of Brownian motions, we search for possible origins of the quantum fluctuation within the framework of new quantization schemes, such as stochastic and/or microcanonical quantizations, for increasing additional fictitious time other than the ordinary one. On the same basis we also show that a D-dimensional quantum system is equivalent to a (D+1)-dimensional classical system. Kluwer Academic Publishers, 2000 canonical and path-integral quantizations nationallicence stochastic and microcanonical quantizations nationallicence future dynamics nationallicence Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 275-282 0167-8019 63:1-3<275 2000 63 10440 https://doi.org/10.1023/A:1010728204115 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1010728204115 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Namiki Mikio Department of Physics, Waseda University, 169-8555, Tokyo, Japan aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 275-282 0167-8019 63:1-3<275 2000 63 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer