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

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...

The Uncertainty Principle

The Uncertainty Principle

Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He mathematically...

The Bohr Model

The Bohr Model

Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as the nucleus...

Molecular Orbital Theory I

Molecular Orbital Theory I

Overview of Molecular Orbital Theory

The Energies of Atomic Orbitals

The Energies of Atomic Orbitals

In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.

You might also read

Related Articles

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

Sort by

Same author

Semiclassical mechanism of sawtooth structure tunneling.

Physical review. E·2026

Same author

Quantum diffusion in the Harper model under polychromatic time-perturbation.

Physical review. E·2026

Same author

Semiclassical reproducibility of sawtooth structure observed for a periodically perturbed rounded-rectangular potential.

Physical review. E·2025

Same author

Quantum diffusion induced by small quantum chaos.

Physical review. E·2024

Same author

Sawtooth structure in tunneling probability for a periodically perturbed rounded-rectangular potential.

Physical review. E·2024

Same author

Dynamical tunneling across the separatrix.

Physical review. E·2024

Search research articles

Related Experiment Video

Updated: May 29, 2026

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

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

Published on: August 2, 2019

Non-instanton tunneling: semiclassical and quantum interpretations.

Kin'ya Takahashi¹, Kensuke S Ikeda

¹The Physics Laboratories, Kyushu Institute of Technology, Kawazu 680-4, Iizuka 820-8502, Japan.

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

|September 21, 2011

Summary

Noninstanton tunneling, distinct from instanton tunneling, is explored using semiclassical and quantum methods. The stable-unstable manifold-guided tunneling (SUMGT) theory reveals enhanced tunneling rates in intermediate frequencies for perturbed potentials.

More Related Videos

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

Published on: January 19, 2018

Related Experiment Videos

Last Updated: May 29, 2026

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

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

Published on: August 2, 2019

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

Published on: January 19, 2018

Area of Science:

Quantum Mechanics
Chemical Physics
Theoretical Physics

Background:

Tunneling is a fundamental quantum mechanical phenomenon.
Instanton-type tunneling is a well-established theoretical framework.
Noninstanton tunneling presents a distinct pathway requiring further investigation.

Purpose of the Study:

To investigate noninstanton tunneling using both semiclassical and quantum approaches.
To analyze the behavior of tunneling probability under varying perturbation frequencies.
To provide a quantum interpretation of noninstanton tunneling and its relationship with SUMGT theory.

Main Methods:

Semiclassical analysis using the stable-unstable manifold-guided tunneling (SUMGT) theory.
Quantum analysis employing an exactly solvable model of a periodically perturbed right-angled step potential.
Comparison of tunneling rates across different perturbation frequencies and energy regimes.

Main Results:

Tunneling rates exhibit rapid decay at high and low perturbation frequencies but are significantly enhanced in an intermediate range.
SUMGT theory explains the observed tunneling behavior in perturbed potentials.
The quantum model demonstrates noninstanton tunneling as a form of photoassisted tunneling through a large energy gap.

Conclusions:

Noninstanton tunneling is fundamentally different from instanton-type tunneling.
SUMGT provides a robust semiclassical framework for understanding noninstanton tunneling.
Photoassisted tunneling through a large energy gap offers a quantum mechanical interpretation of noninstanton tunneling.