– It is well known that a Shannon based definition of information entropy leads in the classical case to the Boltzmann entropy. It is tempting to regard the Von Neumann entropy as the corresponding quantummechanical definition. But the latter is problematic from quantum information point of view. Consequently we introduce a new definition of entropy that reflects the inherent uncertainty of qua...

in this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. it is shown that it generates the kolmogorov entropy as a special case. if $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

the thermodynamic functions such as enthalpy (h), gibbs free energy (g) and entropy (s) of serineand threonine amino acids were theoretically studied at different condition (solvents andtemperatures) by using gussian o3, software. first, the structural optimization of isolated serine andthreonine were done in the gas phase by using the hartree-fock (hf) level of theory with 3-21g, 6-31g and 6-3...

We show that the entropy function—and hence the finite 1-logarithm—behaves a lot like certain derivations. We recall its cohomological interpretation as a 2-cocycle and also deduce 2n-cocycles for any n. Finally, we give some identities for finite multiple polylogarithms together with number theoretic applications. 1 Information theory, Entropy and Polylogarithms It is well known that the notio...

BACKGROUND beta1-Adrenoceptor antagonists suppress the haemodynamic and arousal responses to tracheal intubation. The Entropy Module shows two spectral entropy-based indices, response entropy (RE) and state entropy (SE). The difference between RE and SE (RE-SE) may reflect nociception during general anaesthesia. In the present study, we investigated the effect of landiolol on entropy indices in...

Projective measurement can increase the entropy of a state ρ, the increased entropy is not only up to the basis of projective measurement, but also has something to do with the properties of the state itself. In this paper we define this increased entropy as basis entropy. And then we discuss the usefulness of this new concept by showing its application in explaining the success probability of ...

BACKGROUND Monitoring of anesthetic depth is important for successful general anesthesia. It is well known that entropy or BIS monitoring assisted titration of anesthetic drugs decreases their consumption. This study evaluated the effect of remifentanil on consumption of sevoflurane during entropy monitored general anesthesia. METHODS Patients were randomly assigned to two groups. The R group...

The entropy S is a dimensionless quant i ty since the tempera ture T has dimensions of energy so that it can be measured in energy units. The r a n d o m variable n is the number of particles, and n s denotes its average or mos t probable value. E is the internal energy, p the chemical potential and V the volume. According to (1), the entropy is the thermodynamic potential tha t determines the ...

We study extremal black hole solutions in D dimensions with near horizon geometry AdS2 × S in higher derivative gravity coupled to other scalar, vector and antisymmetric tensor fields. We define an entropy function by integrating the Lagrangian density over S for a general AdS2 ×SD−2 background, taking the Legendre transform of the resulting function with respect to the parameters labelling the...

Chaos is often explained in terms of random behaviour; and having positive Kolmogorov–Sinai entropy (KSE) is taken to be indicative of randomness. Although seemly plausible, the association of positive KSE with random behaviour needs justification since the definition of the KSE does not make reference to any notion that is connected to randomness. A common way of justifying this use of the KSE...