FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2021854502> ?p ?o ?g. }

• W2021854502 endingPage "2252" @default.
• W2021854502 startingPage "2230" @default.
• W2021854502 abstract "Abstract The classical Fisher information concept is generalized to cover the complex probability amplitudes (wave functions) of quantum mechanics. Its contributions due to the probability and probability‐current densities are identified. General properties of this local information measure are examined and the Schrödinger functional for the kinetic energy is interpreted as the average Fisher information. The information current and source densities are introduced in terms of which the relevant continuity equation is formulated, expressing the local balance of the information content. The superposition principles for the particle probabilities, probability currents, and the Fisher information densities are examined. The interference (nonadditive) contributions to these quantities due to the quantum mechanical mixing of individual states are identified. An illustrative application of using the nonadditive Fisher information of the atomic orbital (AO) resolution in indexing the chemical bond within the 2‐AO model is presented. This AO‐phase sensitive index is capable of distinguishing the bonding, nonbonding, and antibonding electronic states, as do the familiar bond‐orders of quantum chemistry. It is interpreted as a measure of an extra delocalization of electrons due to the bond formation. This is in contrast to the so called quadratic bond‐multiplicity measures and the nonprojected entropy/information concepts of the communication theory of the chemical bond, which both loose the memory about the relative AO‐phases in molecular orbitals, thus failing to distinguish between the bonding and antibonding electron configurations. Finally, the Schrödinger variational principle of quantum mechanics and the related Kohn‐Sham principle of Density‐Functional theory are interpreted as constrained variational principles of the Fisher information contained in the electron probability distributions. They are examples of the Extreme Physical Information principle related to the measurement process. The Fisher‐information principle for the adiabatic (Born‐Oppenheimer) approximation of the molecular quantum mechanics is also examined. © 2008 Wiley Periodicals, Inc. Int J Quantum Chem, 2008" @default.
• W2021854502 created "2016-06-24" @default.
• W2021854502 creator A5018498247 @default.
• W2021854502 date "2008-01-01" @default.
• W2021854502 modified "2023-10-16" @default.
• W2021854502 title "Use of Fisher information in quantum chemistry" @default.
• W2021854502 cites W1813088665 @default.
• W2021854502 cites W1964921738 @default.
• W2021854502 cites W1965555277 @default.
• W2021854502 cites W1965596683 @default.
• W2021854502 cites W1966104193 @default.
• W2021854502 cites W1974249842 @default.
• W2021854502 cites W1976636413 @default.
• W2021854502 cites W1979907385 @default.
• W2021854502 cites W1987668957 @default.
• W2021854502 cites W1991102168 @default.
• W2021854502 cites W1995875735 @default.
• W2021854502 cites W1998960507 @default.
• W2021854502 cites W2000872531 @default.
• W2021854502 cites W2003409499 @default.
• W2021854502 cites W2003690651 @default.
• W2021854502 cites W2007701780 @default.
• W2021854502 cites W2010669946 @default.
• W2021854502 cites W2014761675 @default.
• W2021854502 cites W2017786850 @default.
• W2021854502 cites W2020372189 @default.
• W2021854502 cites W2021246758 @default.
• W2021854502 cites W2025231941 @default.
• W2021854502 cites W2030976617 @default.
• W2021854502 cites W2033555468 @default.
• W2021854502 cites W2037099598 @default.
• W2021854502 cites W2039722400 @default.
• W2021854502 cites W2041838197 @default.
• W2021854502 cites W2042944554 @default.
• W2021854502 cites W2047788433 @default.
• W2021854502 cites W2052082034 @default.
• W2021854502 cites W2053565514 @default.
• W2021854502 cites W2058993909 @default.
• W2021854502 cites W2060167557 @default.
• W2021854502 cites W2071955309 @default.
• W2021854502 cites W2072772275 @default.
• W2021854502 cites W2085413777 @default.
• W2021854502 cites W2090055713 @default.
• W2021854502 cites W2090104715 @default.
• W2021854502 cites W2090447198 @default.
• W2021854502 cites W2093914988 @default.
• W2021854502 cites W2133582862 @default.
• W2021854502 cites W2142034052 @default.
• W2021854502 cites W2161254846 @default.
• W2021854502 cites W2230728100 @default.
• W2021854502 cites W2491570464 @default.
• W2021854502 cites W2577935807 @default.
• W2021854502 cites W2952302254 @default.
• W2021854502 cites W2998313242 @default.
• W2021854502 cites W4118423 @default.
• W2021854502 cites W4245439180 @default.
• W2021854502 cites W4301961791 @default.
• W2021854502 doi "https://doi.org/10.1002/qua.21752" @default.
• W2021854502 hasPublicationYear "2008" @default.
• W2021854502 type Work @default.
• W2021854502 sameAs 2021854502 @default.
• W2021854502 citedByCount "84" @default.
• W2021854502 countsByYear W20218545022012 @default.
• W2021854502 countsByYear W20218545022013 @default.
• W2021854502 countsByYear W20218545022014 @default.
• W2021854502 countsByYear W20218545022015 @default.
• W2021854502 countsByYear W20218545022016 @default.
• W2021854502 countsByYear W20218545022017 @default.
• W2021854502 countsByYear W20218545022018 @default.
• W2021854502 countsByYear W20218545022019 @default.
• W2021854502 countsByYear W20218545022020 @default.
• W2021854502 countsByYear W20218545022021 @default.
• W2021854502 countsByYear W20218545022022 @default.
• W2021854502 countsByYear W20218545022023 @default.
• W2021854502 crossrefType "journal-article" @default.
• W2021854502 hasAuthorship W2021854502A5018498247 @default.
• W2021854502 hasBestOaLocation W20218545021 @default.
• W2021854502 hasConcept C11255438 @default.
• W2021854502 hasConcept C121332964 @default.
• W2021854502 hasConcept C121864883 @default.
• W2021854502 hasConcept C147120987 @default.
• W2021854502 hasConcept C15184713 @default.
• W2021854502 hasConcept C185592680 @default.
• W2021854502 hasConcept C189394030 @default.
• W2021854502 hasConcept C62520636 @default.
• W2021854502 hasConcept C84114770 @default.
• W2021854502 hasConcept C94231801 @default.
• W2021854502 hasConcept C95269574 @default.
• W2021854502 hasConceptScore W2021854502C11255438 @default.
• W2021854502 hasConceptScore W2021854502C121332964 @default.
• W2021854502 hasConceptScore W2021854502C121864883 @default.
• W2021854502 hasConceptScore W2021854502C147120987 @default.
• W2021854502 hasConceptScore W2021854502C15184713 @default.
• W2021854502 hasConceptScore W2021854502C185592680 @default.
• W2021854502 hasConceptScore W2021854502C189394030 @default.
• W2021854502 hasConceptScore W2021854502C62520636 @default.
• W2021854502 hasConceptScore W2021854502C84114770 @default.
• W2021854502 hasConceptScore W2021854502C94231801 @default.

• next