Universal classification scheme for the spatial-localization properties of one-particle states in finite, d-dimensional systems
The spatial-localization properties of general lattice distributions (eg, charge distribution of
one-particle eigenstates) are studied. We have introduced a localization quantity, the …
one-particle eigenstates) are studied. We have introduced a localization quantity, the …
Rényi entropies characterizing the shape and the extension of the phase space representation of quantum wave functions in disordered systems
We discuss some properties of the generalized entropies, called Rényi entropies, and their
application to the case of continuous distributions. In particular, it is shown that these …
application to the case of continuous distributions. In particular, it is shown that these …
[BOOK][B] Concepts and methods in modern theoretical chemistry: electronic structure and reactivity
SK Ghosh, PK Chattaraj - 2013 - books.google.com
Concepts and Methods in Modern Theoretical Chemistry: Electronic Structure and
Reactivity, the first book in a two-volume set, focuses on the structure and reactivity of …
Reactivity, the first book in a two-volume set, focuses on the structure and reactivity of …
Power-law localization at the metal-insulator transition by a quasiperiodic potential in one dimension
The localization properties of an electron in the tight-binding potential λ cos (πα n ν), where
0< ν< 1, are investigated. Wave functions approaching the metal-insulator transition (MIT) λ …
0< ν< 1, are investigated. Wave functions approaching the metal-insulator transition (MIT) λ …
Complexity of two-level systems
I Varga - Physica A: Statistical Mechanics and its Applications, 2025 - Elsevier
Complexity of two-level systems, eg spins, qubits, magnetic moments etc, are analysed
based on the so-called correlational entropy in the case of pure quantum systems and the …
based on the so-called correlational entropy in the case of pure quantum systems and the …
Scaling properties of composite information measures and shape complexity for hydrogenic atoms in parallel magnetic and electric fields
The scaling properties of various composite information-theoretic measures (Shannon and
Rényi entropy sums, Fisher and Onicescu information products, Tsallis entropy ratio, Fisher …
Rényi entropy sums, Fisher and Onicescu information products, Tsallis entropy ratio, Fisher …
Phase-space Rényi entropy, complexity and thermodynamic picture of density functional theory
Á Nagy - Journal of Mathematical Chemistry, 2023 - Springer
Phase-space Rényi entropy and complexity are defined within the thermodynamic picture of
density functional theory. The structural entropy defined by Pipek, Varga and Nagy, the LMC …
density functional theory. The structural entropy defined by Pipek, Varga and Nagy, the LMC …
Defining statistical relative complexity measure: Application to diversity in atoms
A statistical relative complexity measure, based on the Kullback–Leibler distance measure
defining the relative information and the Carbó quantum similarity index defining the relative …
defining the relative information and the Carbó quantum similarity index defining the relative …
Measuring localization-delocalization phenomena in a quantum corral
The standard deviations and Shannon information entropies of the probability densities for a
particle in a quantum corral are compared and contrasted to determine their effectiveness in …
particle in a quantum corral are compared and contrasted to determine their effectiveness in …
Mathematical characterization and shape analysis of localized, fractal, and complex distributions in extended systems
The availability of recent supercomputers and massively parallel computing facilities makes
possible the calculation of the electronic structure of highly extended (mesoscopic) …
possible the calculation of the electronic structure of highly extended (mesoscopic) …