Obedient quantum mechanics: New status of the theory in the inverse problem approach

B. N. Zakhariev; V. M. Chabanov

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Obedient quantum mechanics: New status of the theory in the inverse problem approach

B. N. Zakhariev·V. M. Chabanov

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Abstract

New status in quantum mechanics is connected with recent achievements in the inverse problem. With its help instead of about ten exactly solvable models which serve as a basis of the contemporary education there are infinite (!) number, even complete sets of such models. So, the whole quantum mechanics is embraced by them. They correspond to all possible variations of spectral parameters which determine all properties of quantum systems. There appears a possibility to change at wish quantum objects by variation of these parameters as control levers and examine quantum systems in different thinkable situations. As a result, we acquire a vision of the intrinsic logic of behavior of any thinkable system, including real ones. The regularities revealed by computer visualization of these models were reformulated into unexpectedly simple universal rules of arbitrary transformations and what is more, their elementary constituents were discovered (new breakthrough). Of these elementary "bricks" it is possible in principle to construct objects with any given properties. This book of inverse problem quantum pictures is utmost intelligible and recommended to any physicists, chemists, mathematicians, biologists from students to professors who are interested in laws of the microworld.

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B. N. Zakhariev, V. M. Chabanov. 2002-08-27. Obedient quantum mechanics: New status of the theory in the inverse problem approach. https://arxiv.org/abs/quant-ph/0207074

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