Hamiltonian structure of the Schrödinger classical dynamical system
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F16%3AN0000127" target="_blank" >RIV/47813059:19240/16:N0000127 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs10701-016-0012-0" target="_blank" >https://link.springer.com/article/10.1007%2Fs10701-016-0012-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10701-016-0012-0" target="_blank" >10.1007/s10701-016-0012-0</a>
Alternative languages
Result language
angličtina
Original language name
Hamiltonian structure of the Schrödinger classical dynamical system
Original language description
The connection between quantum mechanics and classical statistical mechanics has motivated in the past the representation of the Schrödinger quantum-wave equation in terms of “projections” onto the quantum configuration space of suitable phase-space asymptotic kinetic models. This feature has suggested the search of a possible exact super-dimensional classical dynamical system (CDS), denoted as Schrödinger CDS, which uniquely determines the time-evolution of the underlying quantum state describing a set of $N$ like and mutually interacting quantum particles. In this paper the realization of the same CDS in terms of a coupled set of Hamiltonian systems is established. These are respectively associated with a quantum-hydrodynamic CDS advancing in time the quantum fluid velocity and a further one the RD-CDS, describing the relative dynamics with respect to the quantum fluid.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GB14-37086G" target="_blank" >GB14-37086G: Albert Einstein Center for Gravitation and Astrophysics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Foundations of Physics
ISSN
0015-9018
e-ISSN
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Volume of the periodical
46
Issue of the periodical within the volume
9
Country of publishing house
US - UNITED STATES
Number of pages
41
Pages from-to
1127–1167
UT code for WoS article
000382029300004
EID of the result in the Scopus database
2-s2.0-84969972478