In this paper, we present some geometric properties of the maximum entropy Tsallis-distributions under energy constraint. In the case q1, these distributions are proved to be marginals of uniform distributions on the sphere; in the case q1, they can be constructed as conditional distributions of...

As a part of the so-called Wheeler program, we present an information theoretic treatment for phase space distributions.

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...

We study mixed quantum states described by a statistical operator ρ̂=B̂n,n real, with B̂ quadratic in the position and momentum operators. These states are parameterized as density matrices exhibiting the maximum q-entropy (q-MaxEnt) form. They can be regarded as the mixed-state counterpart...

We show here how to use pieces of thermodynamics’ first law to generate probability distributions for generalized ensembles when only level-population changes are involved. Such microstate occupation modifications, if properly constrained via first law ingredients, can be associated not...