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Generalization of the Governing Principle of Dissipative Processes to Complex Scalar Fields ) Quantum Mechanics as “Abstract” Transport Theory
Author(s) -
Gyarmati I.
Publication year - 1974
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19744860103
Subject(s) - dissipative system , physics , classical mechanics , generalization , impossibility , quantum field theory , quantum , scalar (mathematics) , quantization (signal processing) , theoretical physics , quantum mechanics , mathematical physics , mathematics , mathematical analysis , geometry , algorithm , political science , law
The genuine variational principle of macroscopic dissipative continua is generalized to complex scalar fields in the universal form of G AUSS ian type. The generalization makes it possible to extend the validity of the principle to the PS field of the non‐relativistic S CHRÖDINGER equation, and to certain types of non‐linear problems. Following M ORSE 's and F ESHBACH 's sequence of thoughtful ideas in reverse direction the fundamentals of an “abstract” transport theory, isomorphic with one‐particle quantum theory, are developed and the possibility of interpreting the quantum theory by classical models is discussed. On the basis of new arguments, the impossibility of interpreting quantum mechanics in terms of classical transport theories (hydrodynamical model, diffusional and stochastic models) is established.