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Special features of the relation between Fisher information and Schrödinger eigenvalue equation

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Publication:2849733
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DOI10.1063/1.3625265zbMath1272.81058arXiv1105.5054OpenAlexW2043912196MaRDI QIDQ2849733

S. P. Flego, Angel Ricardo Plastino, Angel Plastino

Publication date: 24 September 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5054


Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Measures of information, entropy (94A17)


Related Items

Legendre transform structure and extremal properties of the relative Fisher information, Information theory of consequences of the scale-invariance of Schrödinger's equation, A mixed-entropic uncertainty relation



Cites Work

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  • A simple mathematical model for anomalous diffusion via Fisher's information theory
  • Parameter-free ansatz for inferring ground state wave functions of even convex potentials
  • Coefficients of Diffusion, Viscosity, and Thermal Conductivity of a Gas
  • Forces in Molecules
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