Showing 1 - 10 of 12
We investigate the classical limit of the dynamics of a semiclassical system that represents the interaction between matter and a given field. The concept of Fisher Information measure (F) on using as a quantifier of the process, we find that it adequately describes the transition, detecting the...
Persistent link: https://www.econbiz.de/10011059916
As a part of the so-called Wheeler program, we present an information theoretic treatment for phase space distributions.
Persistent link: https://www.econbiz.de/10010873485
By recourse to information-theory tools, we study aspects of the dynamics of the interaction between a single trapped ion with a laser field. Despite its simplicity the model we use exhibits a broad range of intricate physical effects that are clearly detected by information quantifiers like...
Persistent link: https://www.econbiz.de/10010873748
Escort distributions are a well established but (for physicists) a relatively new concept that is rapidly gaining wide acceptance in world. In this work we wish to revisit the concept within the strictures of the celebrated semiclassical Husimi distributions (HDs) and thereby investigate the...
Persistent link: https://www.econbiz.de/10010871570
We show, starting from first principles, that thermodynamics’ first law can be microscopically obtained for Fisher's information measure without need of invoking the adiabatic theorem. Further, it is proved that enforcing the Fisher-first law requirements in a process in which the probability...
Persistent link: https://www.econbiz.de/10010588898
We present a thermodynamic formulation for scale-invariant systems based on the minimization with constraints of the Fisher information measure. In such a way a clear analogy between these systems’ thermal properties and those of gases and fluids is seen to emerge in a natural fashion. We...
Persistent link: https://www.econbiz.de/10010590330
We show how the demon of Frieden and Soffer, working in a nonextensive statistical scenario, is able to devise solutions to some of Einstein’s field equations by recourse to nonlocal changes of variables between appropriate differential equations. It is seen that a variety of cosmological...
Persistent link: https://www.econbiz.de/10010599588
By recourse to (i) the Hellmann–Feynman theorem and (ii) the virial one, the information-optimizing principle based on Fisher’s information measure uncovers a Legendre-transform structure associated with Schrödinger’s equation, in close analogy with the structure that lies behind the...
Persistent link: https://www.econbiz.de/10011058003
We study nonextensive statistical scenarios à la Tsallis with reference to Fisher’s information and Rènyi’s entropy. A new way of evaluating Tsallis’ generalized expectation values is examined within such a context, and is shown to lead to a much better Cramer–Rao bound than the...
Persistent link: https://www.econbiz.de/10011060258
Given a closed system described via an amplitude function ψ(x), what is its level of order? We consider here a quantity R defined by the property that it decreases (or stays constant) after the system is coarse grained. It was recently found that (i) this quantity exhibits a series of...
Persistent link: https://www.econbiz.de/10011060366