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In Physics
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
 the Coherent Potential Approximation commonly referred to simply as the CPA is a method to find the Green's function
Green's function

In mathematics, a Green's function is a type of function used to solve inhomogeneous ordinary differential equation differential equations subject to boundary conditions....
 of an effective medium. The CPA is a useful concept in understanding how waves scatter in a material which displays spatial inhomogeneity.

One version of the CPA is an extension to random materials of the muffin-tin approximation
Muffin-tin approximation

The muffin-tin approximation is a shape approximation of the potential field in an atomistic environment. It is most commonly employed in quantum mechanical simulations of electronic band structure in Solid-state physics....
 used to calculate electronic band structure
Electronic band structure

In solid-state physics, the electronic band structure of a solid describes ranges of energy that an electron is "forbidden" or "allowed" to have....
 in solids. A variational implementation of the muffin-tin approximation to crystalline solids using Green's function
Green's function

In mathematics, a Green's function is a type of function used to solve inhomogeneous ordinary differential equation differential equations subject to boundary conditions....
s was suggested by Korringa and by Kohn
Walter Kohn

Walter Kohn is an Austrian-born United States theoretical physicist.He was awarded, with John Pople, the Nobel Prize in chemistry in 1998. The award recognized their contributions to the understandings of the electronic properties of materials....
 and Rostocker, and is often referred to as the KKR method.






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In Physics
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
 the Coherent Potential Approximation commonly referred to simply as the CPA is a method to find the Green's function
Green's function

In mathematics, a Green's function is a type of function used to solve inhomogeneous ordinary differential equation differential equations subject to boundary conditions....
 of an effective medium. The CPA is a useful concept in understanding how waves scatter in a material which displays spatial inhomogeneity.

One version of the CPA is an extension to random materials of the muffin-tin approximation
Muffin-tin approximation

The muffin-tin approximation is a shape approximation of the potential field in an atomistic environment. It is most commonly employed in quantum mechanical simulations of electronic band structure in Solid-state physics....
 used to calculate electronic band structure
Electronic band structure

In solid-state physics, the electronic band structure of a solid describes ranges of energy that an electron is "forbidden" or "allowed" to have....
 in solids. A variational implementation of the muffin-tin approximation to crystalline solids using Green's function
Green's function

In mathematics, a Green's function is a type of function used to solve inhomogeneous ordinary differential equation differential equations subject to boundary conditions....
s was suggested by Korringa and by Kohn
Walter Kohn

Walter Kohn is an Austrian-born United States theoretical physicist.He was awarded, with John Pople, the Nobel Prize in chemistry in 1998. The award recognized their contributions to the understandings of the electronic properties of materials....
 and Rostocker, and is often referred to as the KKR method. For random materials, the theory is applied by introduction of an ordered lattice of effective potentials replacing the varying potentials in the random material. This approach is called the KKR coherent potential approximation.

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