A variational reformulation of molecular properties in electronic-structure theory

Poul Jørgensen*, Jeppe Olsen, Magnus Bukhave Johansen, Theo Juncker von Buchwald, Andreas Erbs Hillers-Bendtsen, Kurt V Mikkelsen*, Trygve Helgaker*

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review


Conventional quantum-mechanical calculations of molecular properties, such as dipole moments and electronic excitation energies, give errors that depend linearly on the error in the wave function. An exception is the electronic energy, whose error depends quadratically on the error in wave function. We here describe how all properties may be calculated with a quadratic error, by setting up a variational Lagrangian for the property of interest. Because the construction of the Lagrangian is less expensive than the calculation of the wave function, this approach substantially improves the accuracy of quantum-chemical calculations without increasing cost. As illustrated for excitation energies, this approach enables the accurate calculation of molecular properties for larger systems, with a short time-to-solution and in a manner well suited for modern computer architectures.

Original languageEnglish
Article numbereadn3454
JournalScience Advances
Number of pages6
Publication statusPublished - Apr 2024


Dive into the research topics of 'A variational reformulation of molecular properties in electronic-structure theory'. Together they form a unique fingerprint.

Cite this