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Concept of the “stability” of the quantum mechanical state
Author(s) -
Tachibana Akitomo
Publication year - 1983
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560230119
Subject(s) - stability (learning theory) , physics , extension (predicate logic) , quantum , nonlinear system , classical mechanics , electromagnetic field , field (mathematics) , quantum mechanics , state (computer science) , quantum field theory , theoretical physics , mathematics , computer science , algorithm , machine learning , pure mathematics , programming language
A new concept of the “stability” of the quantum mechanical state is presented. This concept is closely related to the hydrodynamical theory of quantum mechanics. For charged particles, the “stability” against the application of the external electromagnetic field is examined. Under a nonlinear interaction, a new type of the solitonlike phenomenon is shown as a novel, illustrative example of the “stable” state. An extension for the relativistic treatment is also examined.