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

Journal Article · Tue Jan 13 04:00:00 EST 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4905974· OSTI ID:22390859

Caticha, Ariel; Bartolomeo, Daniel ^[1]; Reginatto, Marcel ^[2]

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1. Department of Physics, University at Albany-SUNY, Albany, NY 12222 (United States)
2. Physicalisch-Technische Bundesanstalt, 38116 Braunschweig (Germany)

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.

• OSTI ID: 22390859
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1641; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENTROPY
HAMILTONIANS
POTENTIALS
QUANTUM MECHANICS
SCHROEDINGER EQUATION