Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Propagation of Waves01:07

Propagation of Waves

2.4K
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
2.4K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

43.1K
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.
43.1K
Reflection of Waves01:07

Reflection of Waves

3.9K
When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...
3.9K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

48.9K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
48.9K
Reynolds Transport Theorem01:24

Reynolds Transport Theorem

1.3K
The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
1.3K
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

1.1K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
1.1K

You might also read

Related Articles

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

Sort by
Same author

Optimization of Covalent 6-Cyanoquinazoline KRAS<sup>G12C</sup> Inhibitors for the Treatment of Solid Tumors.

Journal of medicinal chemistry·2026
Same author

A Novel Small Molecule Allosteric Inhibitor of IL-17A from a DNA-Encoded Library.

ACS medicinal chemistry letters·2025
Same author

Identification of JNJ-61803534, a RORγt Inverse Agonist for the Treatment of Psoriasis.

Journal of medicinal chemistry·2025
Same author

Toward Dose Prediction at Point of Design.

Journal of medicinal chemistry·2024
Same author

Identification of isoquinolinone DHODH inhibitor isosteres.

Bioorganic & medicinal chemistry letters·2024
Same author

Preclinical efficacy of the potent, selective menin-KMT2A inhibitor JNJ-75276617 (bleximenib) in KMT2A- and NPM1-altered leukemias.

Blood·2024

Related Experiment Video

Updated: Sep 4, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

9.7K

Resummation for quantum propagators in bounded spaces.

James P Edwards1, Víctor A González-Domínguez2, Idrish Huet3

  • 1Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, C.P. 58040, Mexico.

Physical Review. E
|July 20, 2022
PubMed
Summary
This summary is machine-generated.

We present a novel method for calculating quantum mechanical propagators with complex Dirichlet boundary conditions. This approach utilizes a generalized "hit function" and Padé approximants to accurately model reflecting boundaries.

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.1K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.9K

Related Experiment Videos

Last Updated: Sep 4, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

9.7K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.1K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.9K

Area of Science:

  • Quantum Mechanics
  • Mathematical Physics
  • Computational Physics

Background:

  • Calculating quantum mechanical propagators is essential for understanding particle behavior.
  • Geometrically nontrivial Dirichlet boundary conditions pose significant challenges in standard calculations.
  • Previous work introduced the 'hit function' as an integral transform of the propagator.

Purpose of the Study:

  • To develop a method for calculating quantum mechanical propagators with geometrically nontrivial Dirichlet boundary conditions.
  • To generalize the 'hit function' and establish its connection to Feynman path integrals.
  • To provide analytical solutions and a general formula for propagators under these conditions.

Main Methods:

  • Generalization of the 'hit function' as a many-point propagator.
  • Utilizing a convergent sequence of Padé approximants to approximate perfectly reflecting boundaries.
  • Analytical calculation of generalized hit functions in 1 and 3 dimensions.

Main Results:

  • Established a relationship between the generalized hit function and Feynman path integrals.
  • Derived recursion relations for hit functions in various dimensions.
  • Conjectured a general analytical formula for propagators with Dirichlet boundary conditions.

Conclusions:

  • The developed method provides an effective approach for calculating quantum mechanical propagators with complex boundary conditions.
  • The results have potential applications in relativistic contexts, such as calculating Casimir energies.
  • The technique offers a pathway for handling more general, non-localized potentials.