2 citations · 4 across the 6 of their papers we have counts for
6 papers
Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections
Kenta Higuchi, Takuya Watanabe
In this paper, the asymptotic behaviors of the transition probability for two-level avoided crossings are studied under the limit where two parameters (adiabatic parameter and ener…
Spectral analysis of three-state quantum walks with general coin matrices
Chusei Kiumi, Jirô Akahori, Takuya Watanabe +1
Mathematical analysis of the spectral properties of the time evolution operator in quantum walks is essential for understanding key dynamical behaviors such as localization and lon…
Landau-Zener Formula in a "Non-Adiabatic" regime for avoided crossings
Takuya Watanabe, Maher Zerzeri
We study a two-level transition probability for a finite number of avoided crossings with a small interaction. Landau-Zener formula, which gives the transition probability for one…
Widths of resonances above an energy-level crossing
Setsuro Fujiié, André Martinez, Takuya Watanabe
We study the existence and location of the resonances of a semiclassical system of coupled Schrödinger operators, in the case where the two electronic levels cross at s…
Molecular predissociation resonances near an energy-level crossing II: Vector field interaction
Setsuro Fujiie, André Martinez, Takuya Watanabe
We study the resonances of a two-by-two semiclassical system of one dimensional Schrödinger operators, near an energy where the two potentials intersect transversally, one of them…
Molecular predissociation resonances at an energy-level crossing
Setsuro Fujiié, André Martinez, Takuya Watanabe
We study the resonances of a two-by-two semiclassical system of one dimensional Schrödinger operators, near an energy where the two potentials intersect transversally, one of them…