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

Bewley Lattice Diagram

Bewley Lattice Diagram

The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.

Lattice Centering and Coordination Number

Lattice Centering and Coordination Number

The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...

Linear time-invariant Systems

Linear time-invariant Systems

A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be calculated...

BIBO stability of continuous and discrete -time systems

BIBO stability of continuous and discrete -time systems

System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system.

Extended Versions of Green’s Theorem

Extended Versions of Green’s Theorem

Green’s Theorem connects the circulation of a vector field around a closed curve with the behavior of the field across the region enclosed by that curve. It provides a way to replace a line integral around a boundary with a double integral over the interior region, making it especially useful in plane geometry, fluid flow, and vector calculus.Although Green’s Theorem is often introduced using simple regions without gaps, it can also be applied to regions made from several simple parts. This...

State Space Representation

State Space Representation

The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...

You might also read

Related Articles

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

Sort by

Same author

The Counselling Session Benefits Scale: Reliability, validity and psychometric properties.

Psychology and psychotherapy·2026

Same author

EIF4A3-dependent nonsense-mediated decay buffers AML1-ETO9a dosage and modulates outcome in t(8;21) acute myeloid leukemia.

Leukemia·2026

Same author

[Novel framework based on multi-stage random sampling and differentiable rendering for automated three-dimensional orientation estimation of skull base foramina].

Sheng wu yi xue gong cheng xue za zhi = Journal of biomedical engineering = Shengwu yixue gongchengxue zazhi·2026

Same author

The ATP-binding cassette (ABC) transporter YbiT deficient mutant of Riemerella anatipestifer displays attenuation and confers promoting immune protection in geese.

Veterinary microbiology·2026

Same author

Medical Referring Image Segmentation via Next-Token Mask Prediction.

IEEE transactions on medical imaging·2026

Same author

MAPLE enables ultrasensitive detection of low-frequency cfDNA methylation haplotypes using short capture probes with cost-efficient performance.

Genome research·2026

Search research articles

Related Experiment Video

Updated: Jul 3, 2026

Measuring Attention and Visual Processing Speed by Model-based Analysis of Temporal-order Judgments

Measuring Attention and Visual Processing Speed by Model-based Analysis of Temporal-order Judgments

Published on: January 23, 2017

Time-dependent V-representability on lattice systems.

Yonghui Li¹, C A Ullrich

¹Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA.

The Journal of Chemical Physics

|August 7, 2008

Summary

Discretization of electronic systems on lattices breaks the link between time-dependent densities and potentials. This study reveals issues with the continuity equation, impacting time-dependent density-functional theory applications.

More Related Videos

RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans

RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans

Published on: July 17, 2021

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Related Experiment Videos

Last Updated: Jul 3, 2026

Measuring Attention and Visual Processing Speed by Model-based Analysis of Temporal-order Judgments

Measuring Attention and Visual Processing Speed by Model-based Analysis of Temporal-order Judgments

Published on: January 23, 2017

RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans

RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans

Published on: July 17, 2021

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Computational Physics
Quantum Chemistry
Materials Science

Background:

The relationship between time-dependent densities and potentials is fundamental in electronic structure theory.
Time-dependent density-functional theory (TDDFT) offers a computationally efficient approach to study electronic dynamics.
V-representability ensures that a given density can be generated by a valid potential.

Purpose of the Study:

To investigate the mapping between time-dependent densities and potentials for noninteracting electronic systems on lattices.
To analyze the breakdown of time-dependent V-representability in discretized systems.
To discuss the implications for numerical implementations of TDDFT.

Main Methods:

Analysis of the continuity equation for noninteracting electronic systems on lattices.
Examination of lattice models with two and N points.
Comparison with the continuum limit.

Main Results:

Identified specific time-dependent density functions on lattices that lack a corresponding real time-dependent potential.
Attributed the loss of time-dependent V-representability to discretization-induced problems in the continuity equation.
Demonstrated that time-dependent noninteracting V-representability is recovered in the continuum limit.

Conclusions:

Discretization of the kinetic-energy operator on lattices poses challenges for time-dependent V-representability in electronic systems.
Numerical applications of TDDFT may encounter limitations due to these lattice artifacts.
The continuum limit is crucial for restoring the fundamental mapping between densities and potentials.