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Stability of Equilibrium Configuration

Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Published on: June 8, 2018

Seniority eigenstate configuration interaction.

Thomas M Henderson1,2, Guo P Chen1, Gustavo E Scuseria1,2

  • 1Department of Chemistry, Rice University, Houston, Texas 77005-1892, USA.

The Journal of Chemical Physics
|July 7, 2026
PubMed
Summary

We introduce a new method for strongly correlated electronic systems using seniority eigenstates. This approach achieves high accuracy, rivaling or surpassing traditional zero-seniority methods for complex models.

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Area of Science:

  • Quantum chemistry
  • Computational physics
  • Strongly correlated electronic systems

Background:

  • Zero-seniority methods are effective for strongly correlated systems.
  • Other seniority sectors remain less explored.
  • Maximal and zero seniority share algebraic structures.

Purpose of the Study:

  • Introduce a novel seniority eigenstate configuration interaction.
  • Constrain wave functions to fixed local seniority.
  • Explore high-seniority sectors for electronic system description.

Main Methods:

  • Partition orbitals into seniority zero (pairing) and seniority one (spin) sets.
  • Construct an effective Hamiltonian for the seniority eigenstate ansatz.
  • Apply the method to the Hubbard model and nitrogen molecule dissociation.

Main Results:

  • High-seniority wave functions demonstrate excellent accuracy for strongly correlated fermionic systems.
  • The accuracy is competitive with or superior to seniority zero.
  • Effective Hamiltonian construction is demonstrated.

Conclusions:

  • Seniority eigenstate configuration interaction offers a powerful alternative for strongly correlated systems.
  • High-seniority sectors provide accurate descriptions.
  • The method shows promise for future computational chemistry and physics applications.