The bohmion method in nonadiabatic quantum hydrodynamics

Darryl D Holm, Jonathan I Rawlinson, Cesare Tronci

Research output: Contribution to journalArticlepeer-review


Starting with the exact factorization of the molecular wavefunction, this paper presents the results from the numerical implementation in nonadiabatic molecular dynamics of the recently proposed bohmion method. Within the context of quantum hydrodynamics, we introduce a regularized nuclear Bohm potential admitting solutions comprising a train of δ-functions which provide a finite-dimensional sampling of the hydrodynamic flow paths. The bohmion method inherits all the basic conservation laws from its underlying variational structure and captures electronic decoherence. After reviewing the general theory, the method is applied to the well-known Tully models, which are used here as benchmark problems. In the present case of study, we show that the new method accurately reproduces both electronic decoherence and nuclear population dynamics.

Original languageEnglish
Article number495201
JournalJournal of Physics A: Mathematical and Theoretical
Issue number49
Publication statusPublished - 10 Dec 2021


  • bohmian
  • bohmion
  • geometric mechanics
  • method
  • nonadiabatic
  • quantum nuclear dynamics
  • tully models


Dive into the research topics of 'The bohmion method in nonadiabatic quantum hydrodynamics'. Together they form a unique fingerprint.

Cite this