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Quantum energies of interfaces.

N Graham¹, R L Jaffe, M Quandt

¹Department of Physics and Astronomy, University of California at Los Angeles, Los Angeles, California 90095, USA. graham@physics.ucla.edu

Physical Review Letters

|October 3, 2001

Summary

We developed a new method to calculate quantum energies for symmetrical interfaces using scattering data. This approach requires sum rules connecting phase shifts and bound state energies for internal consistency.

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Area of Science:

Quantum Field Theory
Condensed Matter Physics

Background:

Calculating quantum energies for interfaces is crucial for understanding material properties.
Existing methods can be computationally intensive and limited in scope.

Purpose of the Study:

To present a novel method for computing one-loop, renormalized quantum energies of symmetrical interfaces.
To utilize elementary scattering data for these calculations.
To establish internal consistency through finite-energy sum rules.

Main Methods:

Developed a computational method based on elementary scattering data.
Applied finite-energy sum rules relating phase shifts to bound state energies.
The method is applicable to interfaces of arbitrary dimension and codimension.

Main Results:

Successfully computed one-loop, renormalized quantum energies for symmetrical interfaces.
Demonstrated the necessity of finite-energy sum rules for method validation.
The technique is general and applicable to various interface types.

Conclusions:

The presented method offers an efficient way to calculate quantum interface energies.
Scattering data and sum rules provide a consistent framework for renormalization.
This work advances the theoretical tools for studying interface phenomena.

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