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...

Calculation of First-Law Quantities II

Calculation of First-Law Quantities II

The first law of thermodynamics establishes that the change in internal energy of a system is given by ΔU = q + w, where q is the heat exchanged, and w is the work performed. For a perfect gas, both internal energy (U) and enthalpy (H) depend solely on temperature. Consequently, for any change of state, whether reversible or irreversible, the internal energy change is determined by integrating the heat capacity at constant volume, and the enthalpy change by integrating the heat capacity at...

Classical Mechanics

Classical Mechanics

Classical mechanics provides a mathematical description of the motion of bodies under the influence of forces. A key principle within this field is the work-energy theorem, which establishes a bridge between the net work done on an object and its kinetic energy.The work-energy theorem states that the net work done on a particle by all the forces acting on it equals the change in its kinetic energy.In simple terms, the work-energy theorem is a method to analyze the effects of forces on an...

Emission Spectra

Emission Spectra

When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.

Calculation of First Law Quantities I

Calculation of First Law Quantities I

Thermodynamic systems undergoing phase transitions or temperature changes experience energy transfer in the form of heat (q) and work (w). For a reversible phase change at constant temperature (T) and pressure (p), the process involves no chemical reaction but results in energy exchange between distinct phases.The heat transferred during this process corresponds to the latent heat of transition, which is the amount of heat energy absorbed or released by a substance when it changes from one...

First Law: Particles in Two-dimensional Equilibrium

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...

You might also read

Related Articles

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

Sort by

Same author

Dynamical Casimir effect in microwave cavities containing nonlinear crystals.

Journal of physics. Condensed matter : an Institute of Physics journal·2015

Same author

[Comprehensive assessment of the health of students with different state of the musculoskeletal system].

Gigiena i sanitariia·2015

Same author

Effects of random migration in population dynamics.

Physical review. E, Statistical, nonlinear, and soft matter physics·2001

Same author

Universal invariants of quantum-mechanical and optical systems.

Journal of the Optical Society of America. A, Optics, image science, and vision·2001

Same author

The role of surgery in the treatment of benign liver lesions.

The Journal of the Kentucky Medical Association·1997

Same author

Type II diabetes after combined kidney and pancreas transplantation for type I diabetes mellitus and end-stage renal disease.

Clinical transplantation·1996

Search research articles

Related Experiment Video

Updated: Jul 16, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Quantum master equations from classical Lagrangians with two stochastic forces.

A V Dodonov¹, S S Mizrahi, V V Dodonov

¹Departamento de Física, CCET, Universidade Federal de São Carlos, Via Washington Luiz km 235, 13565-905 São Carlos, São Paulo, Brazil. adodonov@df.ufscar.br

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

|March 16, 2007

Summary

A new phenomenological approach allows derivation of master equations for quantum Brownian motion. This method simulates environments with classical stochastic forces, encompassing known equations.

Related Experiment Videos

Last Updated: Jul 16, 2026

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:

Quantum mechanics
Statistical physics
Condensed matter theory

Background:

Quantum Brownian motion describes open quantum systems interacting with an environment.
Master equations are crucial for modeling the dynamics of these systems.
Existing models often rely on specific assumptions about the environment's properties.

Purpose of the Study:

To develop a general framework for deriving master equations for quantum Brownian motion.
To explore a phenomenological approach simulating environmental interactions with classical stochastic forces.
To identify the parameters governing this extended family of master equations.

Main Methods:

A phenomenological approach is employed, assuming the environment can be modeled by two classical stochastic forces.
The derivation focuses on quantum Brownian motion of a harmonic oscillator with translationally invariant damping.
The resulting master equations are characterized by three time-dependent correlation functions.

Main Results:

A large family of master equations for quantum Brownian motion is derived.
This family is determined by three time-dependent correlation functions, frequency, and damping coefficients.
Known master equations with bilinear dissipative parts are shown to be special cases within this framework.

Conclusions:

The phenomenological approach provides a versatile method for generating quantum master equations.
The derived family offers a broader description of quantum Brownian motion compared to previous models.
This work unifies various master equations under a single, more general theoretical umbrella.