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Title: Quantum and classical solutions for statically screened two-dimensional Wannier-Mott excitons

Abstract

Quantum solutions and classical orbits are discussed for statically screened Wannier-Mott excitons for two closely related potentials: the Stern-Howard potential and a suggested simple focusing one. Bound states and exact ''quantized'' values of screening are obtained as well. For the suggested potential, the scattering matrix, the Regge poles, and the transmission coefficient are calculated exactly. We argue that the simple potential can be utilized in applications instead of the Stern-Howard potential, which is difficult to handle.

Authors:
 [1]
  1. Institute of Physics, Nicolaus Copernicus University, ul. Grudziadzka 5, PL-87100 Torun (Poland)
Publication Date:
OSTI Identifier:
22068486
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 2; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; BOUND STATE; EXCITONS; MATHEMATICAL SOLUTIONS; REGGE POLES; SCATTERING; TRANSMISSION; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Makowski, Adam J. Quantum and classical solutions for statically screened two-dimensional Wannier-Mott excitons. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.022108.
Makowski, Adam J. Quantum and classical solutions for statically screened two-dimensional Wannier-Mott excitons. United States. https://doi.org/10.1103/PHYSREVA.84.022108
Makowski, Adam J. 2011. "Quantum and classical solutions for statically screened two-dimensional Wannier-Mott excitons". United States. https://doi.org/10.1103/PHYSREVA.84.022108.
@article{osti_22068486,
title = {Quantum and classical solutions for statically screened two-dimensional Wannier-Mott excitons},
author = {Makowski, Adam J},
abstractNote = {Quantum solutions and classical orbits are discussed for statically screened Wannier-Mott excitons for two closely related potentials: the Stern-Howard potential and a suggested simple focusing one. Bound states and exact ''quantized'' values of screening are obtained as well. For the suggested potential, the scattering matrix, the Regge poles, and the transmission coefficient are calculated exactly. We argue that the simple potential can be utilized in applications instead of the Stern-Howard potential, which is difficult to handle.},
doi = {10.1103/PHYSREVA.84.022108},
url = {https://www.osti.gov/biblio/22068486}, journal = {Physical Review. A},
issn = {1050-2947},
number = 2,
volume = 84,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2011},
month = {Mon Aug 15 00:00:00 EDT 2011}
}