Fisher information, thermodynamics and Schrödinger equation. (English) Zbl 1300.80001
Summary: Much current research in the physics of information revolves around applications of Fisher’s information measure (FIM). We review here the intimate relationship that links this tool of information theory to two apparently unconnected subjects, namely, the formalism of thermodynamics and the properties of Schrödinger’s equation. This link exhibits the power of information-optimizing principles and enlarges the scope of the physical ideas that emerge out of information theory.
MSC:
80A05 | Foundations of thermodynamics and heat transfer |
94A17 | Measures of information, entropy |
81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |