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

Physics Letters A

Wigner's pseudo-particle relativistic dynamics in external potential field

Alexander S. Larkin, Vladimir S. Filinov

Published May 1, 2014• 12 citations
Publisher
DOI
10.1016/j.physleta.2014.04.051

Related papers

Relativistic quantum dynamics of a neutral particle in external electric fields: An approach on effects of spin

F.S. Azevedo, Edilberto Oliveira Silva, Luis B. Castro +2 more

arXiv:1506.03689•Annals of Physics•Aug 10, 2015•14 citations

Gauge-Invariant Relativistic Wigner Functions in External Electromagnetic Fields

Sándor Varró, Juha Javanainen

Acta Physica Hungarica B) Quantum Electronics•Jan 1, 2004•1 citation

Quantum Potential in Relativistic Dynamics

John R. Fanchi

Foundations of Physics•Aug 1, 2000•8 citations

Thermodynamics of relativistic Newton—Wigner particle in external potential field

Alexander S. Larkin, Vladimir S. Filinov

Thermodynamic properties of relativistic spinless particle described by the Klein–Gordon equation have been studied using the Newton–Wigner theory of particle in external potential field. Concept of Wiener path integral was extended on relativistic case. A new path integral Monte–Carlo method was developed for relativistic particle in external potential field. The bounds of applicability of available analytical approaches and related results have been specified by comparison with Monte–Carlo calculations. Developed path integral formalism can be directly extended on systems of many identical Newton–Wigner particles, which interact with external field and each other.

Journal of Physics Conference Series•Nov 11, 2015•2 citations

Forms of relativistic quantum dynamics

F. Coester

Lecture notes in physics•Jan 1, 1982•0 citations

Effects of external fields on a two-dimensional Klein—Gordon particle under pseudo-harmonic oscillator interaction

Sameer M. Ikhdair, Majid Hamzavi

We study the effects of the perpendicular magnetic and Aharonov—Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein—Gordon (KG) particle subjected to an equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field, and magnetic quantum number by means of the Nikiforov—Uvarov (NU) method. The non-relativistic limit, PHO, and harmonic oscillator solutions in the existence and absence of external fields are also obtained.

arXiv:1205.4141•Chinese Physics B•Nov 1, 2012•38 citations
Thermodynamic properties of relativistic spinless particle described by the Klein–Gordon equation have been studied using the Newton–Wigner theory of particle in external potential field. Concept of Wiener path integral was extended on relativistic case. A new path integral Monte–Carlo method was developed for relativistic particle in external potential field. The bounds of applicability of available analytical approaches and related results have been specified by comparison with Monte–Carlo calculations. Developed path integral formalism can be directly extended on systems of many identical Newton–Wigner particles, which interact with external field and each other.
We study the effects of the perpendicular magnetic and Aharonov—Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein—Gordon (KG) particle subjected to an equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field, and magnetic quantum number by means of the Nikiforov—Uvarov (NU) method. The non-relativistic limit, PHO, and harmonic oscillator solutions in the existence and absence of external fields are also obtained.