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

Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences

Quantun Coulomb particle on Minkowski plane

N.A. Gromov, Костяков Игорь Владимирович, Куратов Василий Васильевич

Published Jan 1, 2019• 2 citations
Publisher
DOI
10.19110/1994-5655-2019-1-5-8

Related papers

QUANTUM PARTICLE ON MINKOWSKI PLANE

N.A. GROMOV, Куратов Василий Васильевич

Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences•Jan 1, 2018•1 citation

Symmetries of a quantized system moving on a pointed plane in a Coulomb potential

Ch. Schulte

PAN•Nov 1, 1998•0 citations

Two-dimensional Coulomb scattering of a quantum particle: Construction of radial wave functions

Vasily Veniaminovitch Pupyshev

We prove that radial wave functions of a charged quantum particle moving in a two-dimensional plane of the three-dimensional coordinate space and scattering by a Coulomb center at rest in the same plane are governed by the Coulomb equation with a half-integer index. We investigate the structure of these functions and consider three physically interesting limits: the non-Coulomb limit and high- and low-energy limits. We explicate the basic differences between two- and three-dimensional Coulomb scattering.

Theoretical and Mathematical Physics•Jan 1, 2016•7 citations

Two-dimensional Coulomb scattering of a quantum particle: Low-energy asymptotic behavior

Vasily Veniaminovitch Pupyshev

We consider a charged quantum particle moving in a two-dimensional plane in the three-dimensional coordinate space and scattering on an immovable Coulomb center in the same plane. We derive and investigate expansions of the wave function and of all radial wave functions of the particle in integer powers of the wave number and in Bessel functions of a real order. We prove that finite sums of such expansions are asymptotic in the low-energy limit.

Theoretical and Mathematical Physics•Jul 1, 2016•5 citations

QUANTUM PARTICLE ON A TORUS WITH AN EXTERNAL FIELD

H. D. Doebner, J. Tolar

Workshop on Geometric Methods in Physics (WGMP)•Oct 1, 1993•2 citations

Quaternionic Particle in a Relativistic Box

Sergio Giardino

arXiv:1504.00643•Foundations of Physics•Nov 26, 2015•26 citations
We prove that radial wave functions of a charged quantum particle moving in a two-dimensional plane of the three-dimensional coordinate space and scattering by a Coulomb center at rest in the same plane are governed by the Coulomb equation with a half-integer index. We investigate the structure of these functions and consider three physically interesting limits: the non-Coulomb limit and high- and low-energy limits. We explicate the basic differences between two- and three-dimensional Coulomb scattering.