English

A nonorthogonal state-interaction approach for matrix product state wave functions

Chemical Physics 2017-03-07 v1 Strongly Correlated Electrons Computational Physics Quantum Physics

Abstract

We present a state-interaction approach for matrix product state (MPS) wave functions in a nonorthogonal molecular orbital basis. Our approach allows us to calculate for example transition and spin-orbit coupling matrix elements between arbitrary electronic states provided that they share the same one-electron basis functions and active orbital space, respectively. The key element is the transformation of the MPS wave functions of different states from a nonorthogonal to a biorthonormal molecular orbital basis representation exploiting a sequence of non-unitary transformations following a proposal by Malmqvist (Int. J. Quantum Chem. 30, 479 (1986)). This is well-known for traditional wave-function parametrizations but has not yet been exploited for MPS wave functions.

Cite

@article{arxiv.1609.02684,
  title  = {A nonorthogonal state-interaction approach for matrix product state wave functions},
  author = {Stefan Knecht and Sebastian Keller and Jochen Autschbach and Markus Reiher},
  journal= {arXiv preprint arXiv:1609.02684},
  year   = {2017}
}

Comments

34 pages, 1 figure, submitted to J. Chem. Theory Comput

R2 v1 2026-06-22T15:44:40.638Z