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Title: Renormalization group method based on the ionization energy theory

Abstract

Proofs are developed to explicitly show that the ionization energy theory is a renormalized theory, which mathematically exactly satisfies the renormalization group formalisms developed by Gell-Mann-Low, Shankar and Zinn-Justin. However, the cutoff parameter for the ionization energy theory relies on the energy-level spacing, instead of lattice point spacing in k-space. Subsequently, we apply the earlier proofs to prove that the mathematical structure of the ionization-energy dressed electron-electron screened Coulomb potential is exactly the same as the ionization-energy dressed electron-phonon interaction potential. The latter proof is proven by means of the second-order time-independent perturbation theory with the heavier effective mass condition, as required by the electron-electron screened Coulomb potential. The outcome of this proof is that we can derive the heat capacity and the Debye frequency as a function of ionization energy, which can be applied in strongly correlated matter and nanostructures.

Authors:
 [1];  [2]
  1. Jozef Stefan Institute, Jamova Cesta 39, SI-1000 Ljubljana (Slovenia)
  2. (Australia)
Publication Date:
OSTI Identifier:
21579863
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 326; Journal Issue: 3; Other Information: DOI: 10.1016/j.aop.2010.09.011; PII: S0003-4916(10)00174-0; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COULOMB FIELD; DIELECTRIC MATERIALS; EFFECTIVE MASS; ELECTRON-PHONON COUPLING; ELECTRONS; ENERGY LEVELS; GROUP THEORY; IONIZATION; MATTER; NANOSTRUCTURES; PERTURBATION THEORY; PHASE TRANSFORMATIONS; POTENTIALS; RENORMALIZATION; SPECIFIC HEAT; COUPLING; ELECTRIC FIELDS; ELEMENTARY PARTICLES; FERMIONS; LEPTONS; MASS; MATERIALS; MATHEMATICS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES

Citation Formats

Arulsamy, Andrew Das, E-mail: sadwerdna@gmail.com, and School of Physics, University of Sydney, Sydney, New South Wales 2006. Renormalization group method based on the ionization energy theory. United States: N. p., 2011. Web. doi:10.1016/j.aop.2010.09.011.
Arulsamy, Andrew Das, E-mail: sadwerdna@gmail.com, & School of Physics, University of Sydney, Sydney, New South Wales 2006. Renormalization group method based on the ionization energy theory. United States. https://doi.org/10.1016/j.aop.2010.09.011
Arulsamy, Andrew Das, E-mail: sadwerdna@gmail.com, and School of Physics, University of Sydney, Sydney, New South Wales 2006. 2011. "Renormalization group method based on the ionization energy theory". United States. https://doi.org/10.1016/j.aop.2010.09.011.
@article{osti_21579863,
title = {Renormalization group method based on the ionization energy theory},
author = {Arulsamy, Andrew Das, E-mail: sadwerdna@gmail.com and School of Physics, University of Sydney, Sydney, New South Wales 2006},
abstractNote = {Proofs are developed to explicitly show that the ionization energy theory is a renormalized theory, which mathematically exactly satisfies the renormalization group formalisms developed by Gell-Mann-Low, Shankar and Zinn-Justin. However, the cutoff parameter for the ionization energy theory relies on the energy-level spacing, instead of lattice point spacing in k-space. Subsequently, we apply the earlier proofs to prove that the mathematical structure of the ionization-energy dressed electron-electron screened Coulomb potential is exactly the same as the ionization-energy dressed electron-phonon interaction potential. The latter proof is proven by means of the second-order time-independent perturbation theory with the heavier effective mass condition, as required by the electron-electron screened Coulomb potential. The outcome of this proof is that we can derive the heat capacity and the Debye frequency as a function of ionization energy, which can be applied in strongly correlated matter and nanostructures.},
doi = {10.1016/j.aop.2010.09.011},
url = {https://www.osti.gov/biblio/21579863}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = 3,
volume = 326,
place = {United States},
year = {Tue Mar 15 00:00:00 EDT 2011},
month = {Tue Mar 15 00:00:00 EDT 2011}
}