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

Sampling Continuous Time Signal

Sampling Continuous Time Signal

In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...

Atomic Nuclei: Types of Nuclear Relaxation

Atomic Nuclei: Types of Nuclear Relaxation

Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers energy to a nearby...

The Quantum-Mechanical Model of an Atom

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...

The de Broglie Wavelength

The de Broglie Wavelength

In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...

Fermi Level Dynamics

Fermi Level Dynamics

The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...

Sampling Theorem

Sampling Theorem

In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.

You might also read

Related Articles

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

Sort by

Same author

Dissipative Realization of a Quantum Distance-Based Classifier Using Open Quantum Walks.

Entropy (Basel, Switzerland)·2026

Same author

Generating Generalized Ground-State Ansätze from Few-Body Examples.

Physical review letters·2025

Same author

The quantum-classical complexity of consciousness and orchestrated objective reduction.

Frontiers in human neuroscience·2025

Same author

Entanglement and coherence in pure and doped Posner molecules.

Scientific reports·2025

Same author

Microsatellite-based real-time quantum key distribution.

Nature·2025

Same author

Cross-disciplinary mathematical modelling to benefit healthcare - could clinical pharmacology play an enabling role?

British journal of clinical pharmacology·2024

Search research articles

Related Experiment Video

Updated: Jun 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Sampling of quantum dynamics at long time.

Alessandro Sergi¹, Francesco Petruccione

¹School of Physics, University of KwaZulu-Natal, Pietermaritzburg Campus, Private Bag X01, Scottsville, 3209 Pietermaritzburg, South Africa.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 7, 2010

Summary

This summary is machine-generated.

Energy conservation enables a new transition probability choice for quantum dynamics. This method significantly improves calculations in coherent many-body systems.

More Related Videos

Gradient Echo Quantum Memory in Warm Atomic Vapor

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

Related Experiment Videos

Last Updated: Jun 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Gradient Echo Quantum Memory in Warm Atomic Vapor

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

Area of Science:

Quantum mechanics
Theoretical physics
Computational chemistry

Background:

Quantum dynamics calculations often rely on approximations.
Accurate transition probabilities are crucial for modeling quantum systems.
Previous methods for quantum(-classical) dynamics have limitations.

Purpose of the Study:

To develop a generalized transition probability based on energy conservation.
To improve the accuracy and efficiency of quantum(-classical) dynamics simulations.
To explore new theoretical possibilities for coherent many-body systems.

Main Methods:

Utilizing the principle of energy conservation.
Developing a generalized transition probability.
Applying a piecewise adiabatic representation for quantum(-classical) dynamics.

Main Results:

Achieved significant improvements in calculation accuracy, nearly an order of magnitude.
Demonstrated a generalized choice of transition probability.
Validated the effectiveness of the new scheme over previous methods.

Conclusions:

The generalized transition probability offers a more accurate approach to quantum dynamics.
This method opens new perspectives for theoretical calculations in coherent many-body systems.
The findings have implications for understanding and simulating complex quantum phenomena.