You're viewing papers too quickly. Please wait a moment.<br>This helps keep the archive available for everyone.

Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Quantum Thermodynamics

Scattering Amplitude Together with Thermodynamic Properties in the Poschl-Teller Double Ring-Shaped Coulomb Potential

arXiv
Authors: Mahdi Eshghi, Sasan Soudi, Sameer M. Ikhdair

Year

2020

Paper ID

20943

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

We obtain the exact solution to the Dirac equation with the Poschl-Teller double ring-shaped Coulomb (PTDRSC) potential for any spin-orbit quantum number K. The relativistic scattering amplitude for spin 1/2 particles in the field of this potential has been studied. The wave functions are expressed in terms of the hyper-geometric series of the continuous states on the K/2Pi scale. A formula for the phase shifts has also been found. In the nonrelativistic limits, our solution to the Dirac system converges to that of the Schrödinger one. At the high temperature, the partition function is calculated in order to study the behavior of some thermodynamic properties.

Why This Paper Matters

  • This paper contributes to the Quantum Thermodynamics research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • We obtain the exact solution to the Dirac equation with the Poschl-Teller double ring-shaped Coulomb (PTDRSC) potential for any spin-orbit quantum number K.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:2009.02537 [2] arXiv https://arxiv.org/abs/2009.02537 [3] Publisher https://arxiv.org/abs/2009.02537

Local Citation Graph (Related-Paper Links)

Current Paper #20943 #69912 Spectral and thermodynamic prop... #69909 Fundamental Irreversibility fro...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.