417 citations · 1.9k across the 73 of their papers we have counts for
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Analysis of geometric phase effects in the quantum-classical Liouville formalism
Ilya G. Ryabinkin, Chang-Yu Hsieh, Raymond Kapral +1
We analyze two approaches to the quantum-classical Liouville (QCL) formalism that differ in the order of two operations: Wigner transformation and projection onto adiabatic electro…
Geometric phase effects in low-energy dynamics near conical intersections: A study of the multidimensional linear vibronic coupling model
Loic Joubert-Doriol, Ilya G. Ryabinkin, Artur F. Izmaylov
In molecular systems containing conical intersections (CIs), a nontrivial geometric phase (GP) appears in the nuclear and electronic wave-functions in the adiabatic representation.…
Geometric phase effects in dynamics near conical intersections: Symmetry breaking and spatial localization
Ilya G. Ryabinkin, Artur F. Izmaylov
We show that finite systems with conical intersections can exhibit spontaneous symmetry breaking which manifests itself in spatial localization of eigenstates. This localization ha…