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

Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields

Some remarks on the Dirac-like equation in phase space

Wawrzyniec Guz

Published Jun 1, 1985• 0 citations
Publisher
DOI
10.1007/bf02902221

Related papers

On the Dirac-like equation in phase space

Wawrzyniec Guz

Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields•Apr 1, 1985•2 citations

A remark on the Dirac equation

G. Coddens

Foundations of Physics Letters•Jun 1, 1995•1 citation

The 1-D Dirac Equation in the Phase Space Quantum Mechanics

Jaromir Tosiek, Luca Campobasso

Trends in mathematics•Jan 1, 2023•0 citations

Classical versus quantum dynamics for a driven relativistic oscillator

R. E. Wagner, P. J. Peverly, Qichang C. Su +1 more

We compare the time evolution of the quantum-mechanical spatial probability density obtained by solving the time-dependent Dirac equation with its classical counterpart obtained from the relativistic Liouville equation for the phase-space density in a regime in which the dynamics is essentially relativistic. For a resonantly driven one-dimensional harmonic oscillator, the simplest nontrivial model system to perform this comparison, we find that, despite the nonlinearity induced by relativity, the classical ensemble description matches the quantum evolution remarkably well.

Physical Review A•Feb 17, 2000•14 citations

Phase Spaces and the Dirac Derivation

WORLD SCIENTIFIC eBooks•Mar 1, 2011•0 citations

The Phase-Space Noncommutativity Effect on the Large and Small Wave-Function Components Approach at Dirac Equation

Ilyas Haouam

By the large and small wave-function components approach we achieved the nonrelativistic limit of the Dirac equation in interaction with an electromagnetic potential in noncommutative phase-space, and we tested the effect of the phase-space noncommutativity on it, knowing that the nonrelativistic limit of the Dirac equation gives the Schrödinger-Pauli equation.

arXiv:1408.0515•OALib•Jan 1, 2018•5 citations
We compare the time evolution of the quantum-mechanical spatial probability density obtained by solving the time-dependent Dirac equation with its classical counterpart obtained from the relativistic Liouville equation for the phase-space density in a regime in which the dynamics is essentially relativistic. For a resonantly driven one-dimensional harmonic oscillator, the simplest nontrivial model system to perform this comparison, we find that, despite the nonlinearity induced by relativity, the classical ensemble description matches the quantum evolution remarkably well.