Projector augmented wave method

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SUMMARY

The Projector Augmented Wave (PAW) method effectively unifies all-electron and pseudopotential approaches by utilizing a transformation operator that smooths the true wave function into an auxiliary wave function. This auxiliary wave function can be represented through a plane wave expansion, enhancing computational efficiency. The transformation operator is defined as an identity plus a sum of atomic contributions, allowing for the retrieval of the original wave function from calculations performed on the auxiliary function.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with wave function representation
  • Knowledge of pseudopotential methods
  • Experience with computational physics software
NEXT STEPS
  • Research the mathematical formulation of the Projector Augmented Wave method
  • Explore the differences between all-electron and pseudopotential approaches
  • Learn about plane wave expansion techniques in quantum simulations
  • Investigate software tools that implement the PAW method, such as VASP or Quantum ESPRESSO
USEFUL FOR

Researchers and students in computational physics, particularly those focusing on quantum mechanics, materials science, and electronic structure calculations.

Tanaka
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Hi all,

Did someone can explain me how this method is working?

I know that PAW unifies all-electron and pseudopotential approaches using some transformation operator that is suppose to smooth the true wave function into a auxilary wave function that can easily be represented by a plane wave expansion.

I don't understand why the transformation operator shoud be an identity plus a sum of atomic contributions and how you can get you original wave function back if you make you calculs on the auxilary and still be more computationally efficient?



Tanaka.
 
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Tanaka said:
Hi all,

Did someone can explain me how this method is working?

I know that PAW unifies all-electron and pseudopotential approaches using some transformation operator that is suppose to smooth the true wave function into a auxilary wave function that can easily be represented by a plane wave expansion.

I don't understand why the transformation operator shoud be an identity plus a sum of atomic contributions and how you can get you original wave function back if you make you calculs on the auxilary and still be more computationally efficient?
Tanaka.
Hello, did you find the solution. If so, please help me. I will have a presentation on APW method. Would you please help me?
Tnx.
 
The OP posted only one time on PF, more than 5 years ago, and hasn't been here since.

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