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 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...

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...

Schwarzschild Radius and Event Horizon

Schwarzschild Radius and Event Horizon

No object with a finite mass can travel faster than the speed of light in a vacuum. This fact has an interesting consequence in the domain of extremely high gravitational fields.
The minimum speed required to launch a projectile from the surface of an object to which it is gravitationally bound so that it eventually escapes the object’s gravitational field is called the escape velocity. The escape velocity is independent of the mass of the object. Merging the idea of escape velocity with the...

Dual Nature of Electromagnetic (EM) Radiation

Dual Nature of Electromagnetic (EM) Radiation

Electromagnetic (EM) radiation consists of electric and magnetic field components oscillating in planes perpendicular to each other and mutually perpendicular to radiation propagation through space. EM radiation can be classified as a wave, characterized by the properties of waves such as wavelength (denoted as λ) and frequency (represented by ν).
Wavelength is the distance between two consecutive peaks (the highest point) or troughs (the lowest point) in the wave. Frequency is the number of...

Absorption of Radiation

Absorption of Radiation

The rate of heat transfer by emitted radiation is described by the Stefan-Boltzmann law of radiation:

Standing Waves in a Cavity

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

You might also read

Related Articles

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

Sort by

Same author

Percutaneous Myocardial Revascularization.

Current treatment options in cardiovascular medicine·2000

Same author

Minimal potentials with very many minima

Physical review letters·2000

Same author

Rapid Solubility Determination Using Vapor-Phase Osmometry.

Journal of biomolecular screening·2000

Same author

Particle physics. Backyard exotica

Nature·2000

Same author

Quantum Numbers of Textured Hall Effect Quasiparticles.

Physical review letters·1996

Same author

Experimental Consequences of a Minimal Messenger Model for Supersymmetry Breaking.

Physical review letters·1996

Search research articles

Related Experiment Video

Updated: Jul 19, 2026

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

Hawking radiation As tunneling

Parikh¹, Wilczek

¹Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544 and Spinoza Institute, University of Utrecht, 3584 CE Utrecht, The Netherlands.

Physical Review Letters

|December 2, 2000

Summary

Hawking radiation is derived as a quantum tunneling process. This method respects conservation laws, leading to a non-thermal particle emission spectrum, unlike spontaneous emission from charged conductors.

Area of Science:

Quantum Field Theory
General Relativity
Black Hole Thermodynamics

Background:

Hawking radiation describes black hole particle emission.
Previous derivations often involve complex calculations.
Understanding the precise spectrum is crucial for black hole physics.

Purpose of the Study:

To present a simplified derivation of Hawking radiation.
To interpret Hawking radiation as a quantum tunneling process.
To analyze the particle emission spectrum's thermal properties.

Main Methods:

Derivation of Hawking radiation using action principle in dynamical geometry.
Calculation of the imaginary part of the action for tunneling.
Application of conservation laws to the emission process.

More Related Videos

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

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images

Published on: August 31, 2022

Related Experiment Videos

Last Updated: Jul 19, 2026

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

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

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images

Published on: August 31, 2022

Main Results:

Hawking radiation is shown to be a tunneling phenomenon.
The imaginary action is linked to the Boltzmann factor at Hawking temperature.
The derived spectrum is not perfectly thermal due to conserved quantities.

Conclusions:

The tunneling derivation offers a direct approach to Hawking radiation.
Conservation laws modify the spectrum, deviating from a purely thermal distribution.
This framework provides insights comparable to spontaneous emission in conductors.