Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:hep-ph/9910535 · Physics Letters B

Quantum transport equations for a scalar field

Michael Joyce, Kimmo Kainulainen, Tomislav Prokopec

Published Feb 1, 2000• 7 citations
arXivHTMLPDF
DOI
10.1016/s0370-2693(00)00041-1

Related papers

The Klein–Gordon Equation and Scalar Quantum Fields

Peter Woit

Springer eBooks•Jan 1, 2017•0 citations

Linearized Quantum Transport Equations in Periodic Fields

Petr Král

NATO ASI series. Series B : Physics•Jan 1, 1995•0 citations

Kinetic Scalar Modulation and Quantum Transport Extending the NUVO Schr/odinger Equation – Part 16 of the NUVO Theory Series

Rickey Austin

This paper extends the NUVO-modified Schr¨odinger equation by incorporating local velocity-dependent modulation through the scalar field λ(r, v). Building on the gravitational redshift and time dilation results of Series 15, we introduce kinetic scalar effects and develop a formalism for scalar-modulated quantum parallel transport along trajectories. This approach unifies motion-induced and gravitational contributions to quantum evolution, with implications for GPS, atomic clocks, and quantum interference under dynamic conditions.

•Jun 6, 2025•0 citations

Quantum transport equations

A. Ron

Il Nuovo Cimento•Dec 1, 1964•14 citations

Transport theory beyond binary collisions

M. E. Carrington, Stanisław Mrówczyński

Using the Schwinger-Keldysh technique, we derive the transport equations for a system of quantum scalar fields. We first discuss the general structure of the equations and then their collision terms. Taking into account up to three-loop diagrams in ${\ensuremath{\phi}}^{3}$ model and up to four-loop diagrams in ${\ensuremath{\phi}}^{4}$ model, we obtain transport equations which include the contributions of multiparticle collisions and particle production processes, in addition to mean-field effects and binary interactions.

arXiv:hep-ph/0406097•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Mar 21, 2005•24 citations

Quantum Transport Equations of Particle Systems

WORLD SCIENTIFIC eBooks•Aug 1, 2009•0 citations
This paper extends the NUVO-modified Schr¨odinger equation by incorporating local velocity-dependent modulation through the scalar field λ(r, v). Building on the gravitational redshift and time dilation results of Series 15, we introduce kinetic scalar effects and develop a formalism for scalar-modulated quantum parallel transport along trajectories. This approach unifies motion-induced and gravitational contributions to quantum evolution, with implications for GPS, atomic clocks, and quantum interference under dynamic conditions.
Using the Schwinger-Keldysh technique, we derive the transport equations for a system of quantum scalar fields. We first discuss the general structure of the equations and then their collision terms. Taking into account up to three-loop diagrams in ${\ensuremath{\phi}}^{3}$ model and up to four-loop diagrams in ${\ensuremath{\phi}}^{4}$ model, we obtain transport equations which include the contributions of multiparticle collisions and particle production processes, in addition to mean-field effects and binary interactions.