28 citations · 261 across the 29 of their papers we have counts for
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nlin.SI2013★ 8 cited
Semiclassical trace formula for the two-dimensional radial power-law potentials
A. G. Magner, A. A. Vlasenko, K. Arita
The trace formula for the density of single-particle levels in the two-dimensional radial power-law potentials, which nicely approximate the radial dependence of the Woods-Saxon po…
nlin.SI2002★ 28 cited
Symmetry Breaking and Bifurcations in the Periodic Orbit Theory: II -- Spheroidal Cavity --
A. G. Magner, K. Arita, S. N. Fedotkin +1
We derive a semiclassical trace formula for the level density of the three-dimensional spheroidal cavity. To overcome the divergences and discontinuities occurring at bifurcation p…
nlin.SI2001★ 11 cited
Periodic-Orbit Bifurcations and Superdeformed Shell Structure
A. G. Magner, S. N. Fedotkin, K. Arita +2
We have derived a semiclassical trace formula for the level density of the three-dimensional spheroidal cavity. To overcome the divergences occurring at bifurcations and in the sph…