Abstract
The integral eigenvalue equation of the Hamiltonian with a finite-range potential is transformed so as to explicitly take into account the particular structure of a potential consisting of a finite collection of nonoverlapping, muffin-tin type individual potentials (scatterers). The separation between structure and potential, thought to be obtained as an exact result in the framework of multiple-scattering theory, is found to represent an approximation which originates in having considered what is only a necessary condition to be both necessary and sufficient. As an application, the equation for the energy levels of a muffin-tin periodic potential is discussed and shown to be represented by the Korringa-Kohn-Rostoker equation only as an approximate result.
| Original language | English |
|---|---|
| Pages (from-to) | 10469-10474 |
| Number of pages | 6 |
| Journal | Physical Review B |
| Volume | 37 |
| Issue number | 18 |
| DOIs | |
| Publication status | Published - 1988 |
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ASJC Scopus subject areas
- Condensed Matter Physics
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Exact eigenvalue equation for a finite and infinite collection of muffin-tin potentials. / Badralexe, E.; Freeman, Arthur J.
In: Physical Review B, Vol. 37, No. 18, 1988, p. 10469-10474.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Exact eigenvalue equation for a finite and infinite collection of muffin-tin potentials
AU - Badralexe, E.
AU - Freeman, Arthur J
PY - 1988
Y1 - 1988
N2 - The integral eigenvalue equation of the Hamiltonian with a finite-range potential is transformed so as to explicitly take into account the particular structure of a potential consisting of a finite collection of nonoverlapping, muffin-tin type individual potentials (scatterers). The separation between structure and potential, thought to be obtained as an exact result in the framework of multiple-scattering theory, is found to represent an approximation which originates in having considered what is only a necessary condition to be both necessary and sufficient. As an application, the equation for the energy levels of a muffin-tin periodic potential is discussed and shown to be represented by the Korringa-Kohn-Rostoker equation only as an approximate result.
AB - The integral eigenvalue equation of the Hamiltonian with a finite-range potential is transformed so as to explicitly take into account the particular structure of a potential consisting of a finite collection of nonoverlapping, muffin-tin type individual potentials (scatterers). The separation between structure and potential, thought to be obtained as an exact result in the framework of multiple-scattering theory, is found to represent an approximation which originates in having considered what is only a necessary condition to be both necessary and sufficient. As an application, the equation for the energy levels of a muffin-tin periodic potential is discussed and shown to be represented by the Korringa-Kohn-Rostoker equation only as an approximate result.
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UR - http://www.scopus.com/inward/citedby.url?scp=35949014738&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.37.10469
DO - 10.1103/PhysRevB.37.10469
M3 - Article
VL - 37
SP - 10469
EP - 10474
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 1098-0121
IS - 18
ER -