Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Regression Toward the Mean

Regression Toward the Mean

Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when...

Deindividuation

Deindividuation

Deindividuation is a form of social influence on an individual’s behavior such that the individual engages in unusual or non-normal behavior while in a group setting. Why? Because in these group settings, the individual no longer sees themselves as an individual anymore, disinhibiting their behavior and personal restraint.

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Reconstruction of the On-Top Two-Electron Density from Natural Orbitals and Their Occupation Numbers.

Journal of chemical theory and computation·2025

Same author

Natural Densitals.

The journal of physical chemistry letters·2025

Same author

Plain Capping for Improved Accuracy of Approximate One- and Two-Electron Densities at Two-Particle Coalescence Points.

Journal of chemical theory and computation·2024

Same author

Constraints upon Functionals of the 1-Matrix, Universal Properties of Natural Orbitals, and the Fallacy of the Collins "Conjecture".

The journal of physical chemistry letters·2024

Same author

Symmetry Equiincidence of Natural Orbitals.

The journal of physical chemistry letters·2023

Same author

Contactium: A strongly correlated model system.

The Journal of chemical physics·2023

Same journal

A data-driven modeling study on the accurate identification of Doppler-free saturated absorption spectra in diatomic tellurium (130Te2).

The Journal of chemical physics·2026

Same journal

Anharmonic phonons via quantum thermal bath simulations.

The Journal of chemical physics·2026

Same journal

Quantum simulation of alignment dependent differential cross sections in co-propagating molecular beams at cold collision energies.

The Journal of chemical physics·2026

Same journal

Non-additive ion effects on the coil-globule equilibrium of a generic polymer in aqueous salt solutions.

The Journal of chemical physics·2026

Same journal

Insights into the unexpected small reduction of the temperature of maximum density of water by lithium chloride addition.

The Journal of chemical physics·2026

Same journal

Optical frequency comb double-resonance spectroscopy of the 9030-9175 cm-1 states of ethylene.

The Journal of chemical physics·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Sep 14, 2025

Experimental Manipulation of Body Size to Estimate Morphological Scaling Relationships in Drosophila

Experimental Manipulation of Body Size to Estimate Morphological Scaling Relationships in Drosophila

Published on: October 1, 2011

Drachmanization revisited.

Jerzy Cioslowski¹

¹Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland and Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany.

The Journal of Chemical Physics

|July 21, 2025

Summary

This summary is machine-generated.

The Hiller-Sucher-Feinberg (HSF) and Drachman formalisms enhance expectation value accuracy for singular operators using approximate wavefunctions. New functionals and proven properties of densities offer improved computational methods in quantum chemistry.

More Related Videos

Quantification of Drosophila Grooming Behavior

Quantification of Drosophila Grooming Behavior

Published on: July 19, 2017

Rearing the Fruit Fly Drosophila melanogaster Under Axenic and Gnotobiotic Conditions

Rearing the Fruit Fly Drosophila melanogaster Under Axenic and Gnotobiotic Conditions

Published on: July 30, 2016

Related Experiment Videos

Last Updated: Sep 14, 2025

Experimental Manipulation of Body Size to Estimate Morphological Scaling Relationships in Drosophila

Experimental Manipulation of Body Size to Estimate Morphological Scaling Relationships in Drosophila

Published on: October 1, 2011

Quantification of Drosophila Grooming Behavior

Quantification of Drosophila Grooming Behavior

Published on: July 19, 2017

Rearing the Fruit Fly Drosophila melanogaster Under Axenic and Gnotobiotic Conditions

Rearing the Fruit Fly Drosophila melanogaster Under Axenic and Gnotobiotic Conditions

Published on: July 30, 2016

Area of Science:

Quantum Chemistry
Computational Physics

Background:

Accurate computation of expectation values for singular operators is crucial in quantum mechanics.
Approximate wavefunctions often lead to inaccuracies when evaluating these expectation values.

Purpose of the Study:

To elucidate the features of Hiller-Sucher-Feinberg (HSF) and Drachman formalisms.
To derive and present new functionals for improved accuracy in quantum mechanical calculations.

Main Methods:

Analysis of HSF and Drachman formalisms.
Derivation of a generalized one-electron density functional.
Presentation of equivalent functional formulations dependent on wavefunction accuracy.

Main Results:

A new generalized one-electron density functional is derived.
Drachmanized densities are proven to be normalizable and cusped, even from cuspless wavefunctions.
Relative advantages and limitations of HSF and Drachman formalisms are discussed.

Conclusions:

The HSF and Drachman formalisms offer improvements for calculating expectation values of singular operators.
Further research into alternative methods like "plain capping" and integral transformations is necessary.
The derived functionals provide a more accurate representation of electron densities.