Information entropy as a measure of tunneling and quantum confinement in a symmetric double‐well potential
N Mukherjee, A Roy, AK Roy - Annalen der Physik, 2015 - Wiley Online Library
Information entropic measures such as Fisher information, Shannon entropy, Onicescu
energy and Onicescu Shannon entropy of a symmetric double‐well potential are calculated …
energy and Onicescu Shannon entropy of a symmetric double‐well potential are calculated …
Asymptotic formula for the quantum entropy of position in energy eigenstates
J Sánchez-Ruiz - Physics Letters A, 1997 - Elsevier
The asymptotic formula SQ∼ SC− 1+ In 2 is obtained for the information entropy in position
space SQ of one-dimensional quantum systems in energy eigenstates, where SC is the …
space SQ of one-dimensional quantum systems in energy eigenstates, where SC is the …
Maximum entropy and approximate descriptions of pure states
AR Plastino, A Plastino - Physics Letters A, 1993 - Elsevier
Maximum entropy and approximate descriptions of pure states Page 1 Physics Letters A 181
(1993) 446—449 North-Holland PHYSICS LETTERS A Maximum entropy and approximate …
(1993) 446—449 North-Holland PHYSICS LETTERS A Maximum entropy and approximate …
Logarithmic potential of Hermite polynomials and information entropies of the harmonic oscillator eigenstates
J Sánchez-Ruiz - Journal of Mathematical Physics, 1997 - pubs.aip.org
The problem of calculating the information entropy in both position and momentum spaces
for the n th stationary state of the one-dimensional quantum harmonic oscillator reduces to …
for the n th stationary state of the one-dimensional quantum harmonic oscillator reduces to …
Information and metrics in Hilbert space
M Ravicule, M Casas, A Plastino - Physical Review A, 1997 - APS
The concept of distance in Hilbert space is relevant in a variety of scenarios, in particular for
investigating the quality of different approximations. In this work we study the relations …
investigating the quality of different approximations. In this work we study the relations …
Maximum-entropy approach to critical phenomena in ground states of finite systems
A scheme for detecting signatures of phase transitions associated with pure quantum states,
from the knowledge of a limited set of expectation values, is introduced. An accurate …
from the knowledge of a limited set of expectation values, is introduced. An accurate …
Relative Fisher information in some central potentials
N Mukherjee, AK Roy - Annals of Physics, 2018 - Elsevier
Relative Fisher information (IR) was pursued for 1D quantum harmonic oscillator (QHO), 3D
isotropic QHO, hydrogen atom and pseudoharmonic potential (PHP) in both r and p spaces …
isotropic QHO, hydrogen atom and pseudoharmonic potential (PHP) in both r and p spaces …
Geometric probability theory and Jaynes's methodology
We provide a generalization of the approach to geometric probability advanced by the great
mathematician Gian Carlo Rota, in order to apply it to generalized probabilistic physical …
mathematician Gian Carlo Rota, in order to apply it to generalized probabilistic physical …
Shannon entropy and Fisher information from a non-Born–Oppenheimer perspective
We study the Shannon entropy and the Fisher information in a non-Born–Oppenheimer
(nBO) regime, where these quantities are constructed from one-particle densities obtained …
(nBO) regime, where these quantities are constructed from one-particle densities obtained …
Quantum entropy for nuclei
CP Panos, SE Massen - International Journal of Modern Physics E, 1997 - World Scientific
The position-and momentum-space information entropies of nuclei are calculated in the
framework of two models of the nucleus, ie the harmonic oscillator shell model and a …
framework of two models of the nucleus, ie the harmonic oscillator shell model and a …