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Journal of Mathematical Physics, ISSN 0022-2488, 10/2017, Volume 58, Issue 10, p. 104102
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/2017, Volume 58, Issue 10
Journal Article
Journal of Chemical Physics, ISSN 0021-9606, 05/2004, Volume 120, Issue 19, pp. 8906 - 8912
A new correlation measure, the product of the Shannon entropy power and the Fisher information of the electron density, is introduced by analyzing the... 
ISOELECTRONIC SERIES | WAVE-FUNCTIONS | INEQUALITIES | GROUND-STATE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SYSTEMS | IONS | OSCILLATOR | ENTROPY
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2019, Volume 516, pp. 273 - 279
In this work we determine and discuss the entropic uncertainty measures of Shannon type for all the discrete stationary states of the multidimensional harmonic... 
Shannon entropy | Multidimensional harmonic systems | COULOMB | FISHER INFORMATION | UNCERTAINTY RELATIONS | PHYSICS, MULTIDISCIPLINARY | INFORMATION ENTROPIES | OSCILLATOR | POLYNOMIALS | QUANTUM INFORMATION | WAVE-FUNCTIONS | SYSTEMS | ASYMPTOTICS | Physics - Quantum Physics
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 08/2016, Volume 57, Issue 8, p. 1
  The radial expectation values of the probability density of a quantum system in position and momentum spaces allow one to describe numerous physical... 
Uncertainty | Probability distribution | Entropy | Quantum physics
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 12/2018, Volume 59, Issue 12, p. 123504
The Krein-like r-functionals of the hypergeometric orthogonal polynomials {pn(x)}, with the kernel of the form xs[ω(x)]βpm1(x)…pmr(x) being ω(x) the weight... 
COULOMB STURMIANS | CONNECTION | INTEGRALS | HYPERSPHERICAL HARMONICS | PRODUCTS | EXPANSIONS | NORMS | COEFFICIENTS | ENTROPIES | PHYSICS, MATHEMATICAL | FORMULAS
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2016, Volume 462, pp. 1197 - 1206
Journal Article
EPL, ISSN 0295-5075, 02/2016, Volume 113, Issue 4, pp. 48003 - 48003
The Renyi entropies R-p[rho], 0 < p < infinity of the probability density rho(n, l, m)((r) over right arrow) of a physical system completely characterize the... 
DENSITY | POSITION | FISHER INFORMATION | STATES | PHYSICS, MULTIDISCIPLINARY | KINETIC-ENERGY | INFORMATION ENTROPIES | EXPANSIONS | HOMOGENEOUS FUNCTIONALS | TERMS | ATOMIC AVOIDED CROSSINGS | Entropy (Information) | Infinity | Quantum numbers | Asymptotic properties | Mathematical analysis | Mathematical models | Schroedinger equation | Entropy
Journal Article
Chemical Physics Letters, ISSN 0009-2614, 2005, Volume 414, Issue 4, pp. 468 - 472
The Fisher information of single-particle systems with a central potential, which is a gradient functional of their quantum-mechanical probability density, is... 
DENSITY | INEQUALITIES | KINETIC-ENERGY | BOUNDS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | ATOMS | ONE-ELECTRON | EXPECTATION VALUES
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 05/2017, Volume 50, Issue 21, p. 215206
The determination of the physical entropies (Renyi, Shannon, Tsallis) of high-dimensional quantum systems subject to a central potential requires the knowledge... 
entropic functionals of Laguerre and Gegenbauer polynomials | information theory of orthogonal polynomials | asymptotic analysis of integrals | MECHANICS | STATES | PHYSICS, MULTIDISCIPLINARY | SYSTEMS | ATOMS | ASYMPTOTICS | PHYSICS, MATHEMATICAL
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/2017, Volume 58, Issue 10, p. 1
The entropic moments of the probability density of a quantum system in position and momentum spaces describe not only some fundamental and/or experimentally... 
Uncertainty | Entropy (Information theory) | Numerical methods | Approximations | Probability | Atoms & subatomic particles | Entropy | Quantum physics | Physics | Quantum theory
Journal Article
ISBN 9783540115724
Web Resource
ISBN 9783540115724
Web Resource
Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 07/2018, Volume 2018, Issue 7, p. 73203
Journal Article
Theoretical Chemistry Accounts, ISSN 1432-881X, 11/2016, Volume 135, Issue 11, pp. 1 - 6
Journal Article
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, ISSN 1742-5468, 07/2018
The Renyi entropies of Coulomb systems R-p[rho] < p < infinity are logarithms of power functionals of the electron density rho((r)over-right-arrow) which... 
rigorous results in statistical mechanics | COULOMB | STATES | MECHANICS | LINEARIZATION RELATIONS | HYPERSPHERICAL HARMONICS | EXPANSIONS | ATOMS | PHYSICS, MATHEMATICAL | quantum information
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 08/2016, Volume 57, Issue 8, p. 82109
The radial expectation values of the probability density of a quantum system in position and momentum spaces allow one to describe numerous physical quantities... 
LIMITS | WAVE-FUNCTIONS | STATES | CENTRAL POTENTIALS | ENTROPIES | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL | EXPECTATION VALUES | ATOM | MOLECULES | RENYI | Hypergeometric functions | Position measurement | Lower bounds | Momentum | Uncertainty | Quantum theory | Physics - Quantum Physics
Journal Article
EPL (Europhysics Letters), ISSN 0295-5075, 04/2009, Volume 86, Issue 2, pp. 20005 - 20005p5
The study of the entanglement properties of systems of N fermions has attracted considerable interest during the last few years. Various separability criteria... 
PHYSICS, MULTIDISCIPLINARY | SYSTEMS | Physics - Quantum Physics
Journal Article
Journal of Physics B: Atomic, Molecular and Optical Physics, ISSN 0953-4075, 01/2012, Volume 45, Issue 1, pp. 015504 - 1-5
We compute the entanglement of the ground state and several singlet and triplet excited states of the helium atom using high-quality, state-of-the-art... 
INTEGRATION | PARTICLES | PURE STATES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SYSTEMS | 2-ELECTRON ENTANGLEMENT | MODEL | OPTICS | FISHER-INFORMATION | ATOM | State of the art | Helium atoms | Ground state | Entanglement | Excitation | Wavefunctions | Helium
Journal Article
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