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

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

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

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

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

The fundamental information-theoretic measures (the Rényi and Tsallis entropies, ) of the highly-excited (Rydberg) quantum states of the -dimensional ( )...

[formula omitted]-dimensional quantum physics | Entropic uncertainty measures of Shannon | [formula omitted]-dimensional hydrogenic systems | Rényi and Tsallis types | Rydberg states | D-dimensional hydrogenic systems | D-dimensional quantum physics | MOMENTUM-SPACE | STATES | UNCERTAINTY RELATIONS | PHYSICS, MULTIDISCIPLINARY | Renyi and Tsallis types | INFORMATION | HYDROGEN-ATOM | POSITION | DENSITY-DEPENDENT QUANTITIES | HYPERSPHERICAL HARMONICS | BOUNDS | ORBITALS | Atoms | Analysis | Physics - Quantum Physics

[formula omitted]-dimensional quantum physics | Entropic uncertainty measures of Shannon | [formula omitted]-dimensional hydrogenic systems | Rényi and Tsallis types | Rydberg states | D-dimensional hydrogenic systems | D-dimensional quantum physics | MOMENTUM-SPACE | STATES | UNCERTAINTY RELATIONS | PHYSICS, MULTIDISCIPLINARY | Renyi and Tsallis types | INFORMATION | HYDROGEN-ATOM | POSITION | DENSITY-DEPENDENT QUANTITIES | HYPERSPHERICAL HARMONICS | BOUNDS | ORBITALS | Atoms | Analysis | Physics - Quantum Physics

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

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

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

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

Uncertainty | Entropy (Information theory) | Numerical methods | Approximations | Probability | Atoms & subatomic particles | Entropy | Quantum physics | Physics | Quantum theory

Journal Article

14.
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Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces

Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 07/2018, Volume 2018, Issue 7, p. 73203

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2017, Volume 50, Issue 50, p. 505001

Complexity theory embodies some of the hardest, most fundamental and most challenging open problems in modern science. The very term complexity is very...

information theory of the blackbody radiation in a multidimensional universe | Shannon entropy | biparametric measures of complexity of probability distributions | Planck distribution | Crámer-Rao complexity | Heisenberg-Rényi measures of complexity | Fisher-Shannon complexity | INEQUALITIES | PHYSICS, MULTIDISCIPLINARY | NONEXTENSIVE ENTROPY | D-DIMENSIONS | PHYSICS, MATHEMATICAL | STATISTICAL COMPLEXITY | Heisenberg-Renyi measures of complexity | BLACK-BODY RADIATION | INFORMATION PLANE | SHANNON-INFORMATION | RENYI ENTROPY | CRAMER-RAO | Cramer-Rao complexity | Physics - Statistical Mechanics

information theory of the blackbody radiation in a multidimensional universe | Shannon entropy | biparametric measures of complexity of probability distributions | Planck distribution | Crámer-Rao complexity | Heisenberg-Rényi measures of complexity | Fisher-Shannon complexity | INEQUALITIES | PHYSICS, MULTIDISCIPLINARY | NONEXTENSIVE ENTROPY | D-DIMENSIONS | PHYSICS, MATHEMATICAL | STATISTICAL COMPLEXITY | Heisenberg-Renyi measures of complexity | BLACK-BODY RADIATION | INFORMATION PLANE | SHANNON-INFORMATION | RENYI ENTROPY | CRAMER-RAO | Cramer-Rao complexity | Physics - Statistical Mechanics

Journal Article

Theoretical Chemistry Accounts, ISSN 1432-881X, 11/2016, Volume 135, Issue 11, pp. 1 - 6

In this letter, we present an Information-Theoretic Space generated from the Shannon entropy, the Fisher information, and the disequilibrium measures along...

Theoretical and Computational Chemistry | Chemistry | Chemical space | Physical Chemistry | Atomic/Molecular Structure and Spectra | Inorganic Chemistry | Shannon entropy/ Fisher information | Statistical complexity | Organic Chemistry | Information theory | DENSITY | COMPLEXITY | CHEMISTRY, PHYSICAL | Shannon entropy/Fisher information | Amino acids | Complex systems

Theoretical and Computational Chemistry | Chemistry | Chemical space | Physical Chemistry | Atomic/Molecular Structure and Spectra | Inorganic Chemistry | Shannon entropy/ Fisher information | Statistical complexity | Organic Chemistry | Information theory | DENSITY | COMPLEXITY | CHEMISTRY, PHYSICAL | Shannon entropy/Fisher information | Amino acids | Complex systems

Journal Article

17.
Full Text
Renyi entropies for multidimensiona hydrogenic systems in position and momentum spaces

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

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

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

19.
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Separability criteria and entanglement measures for pure states of N identical fermions

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

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

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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