Entropic dynamics: From entropy and information geometry to Hamiltonians and quantum mechanics

Entropic Dynamics is a framework in which quantum theory is derived as an application of entropic methods of inference. There is no underlying action principle. Instead, the dynamics is driven by entropy subject to the appropriate constraints. In this paper we show how a Hamiltonian dynamics arises...

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Bibliographic Details
Published inAIP conference proceedings Vol. 1641; no. 1
Main Authors Caticha Ariel, Bartolomeo, Daniel, Reginatto Marcel
Format Conference Proceeding Journal Article
LanguageEnglish
Published Melville American Institute of Physics 13.01.2015
Subjects
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Dynamics
ENTROPY
Entropy (Information theory)
Hamiltonian functions
HAMILTONIANS
POTENTIALS
QUANTUM MECHANICS
Quantum theory
Schrodinger equation
SCHROEDINGER EQUATION
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ISSN0094-243X
1551-7616
DOI10.1063/1.4905974

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Summary:Entropic Dynamics is a framework in which quantum theory is derived as an application of entropic methods of inference. There is no underlying action principle. Instead, the dynamics is driven by entropy subject to the appropriate constraints. In this paper we show how a Hamiltonian dynamics arises as a type of non-dissipative entropic dynamics. We also show that the particular form of the "quantum potential" that leads to the Schrödinger equation follows naturally from information geometry.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Conference Papers & Proceedings-1
content type line 21
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4905974