Zobrazeno 1 - 10
of 2 280
pro vyhledávání: '"Arita K"'
Publikováno v:
Physica Scripta 95, 024003 (2020)
The origin of the asymmetry in the fragment mass distribution of low-energy nuclear fission is considered from the semiclassical point of view. Using the semiclassical periodic-orbit theory, one can define and quantify the shell effect associated wit
Externí odkaz:
http://arxiv.org/abs/1906.11794
Autor:
Magner, A. G., Arita, K.
Publikováno v:
Phys. Rev. E 96, 042206 (2017)
The Fedoriuk-Maslov catastrophe theory of caustics and turning points is extended to solve the bifurcation problems by the improved stationary phase method (ISPM). The trace formulas for the radial power-law (RPL) potentials are presented by the ISPM
Externí odkaz:
http://arxiv.org/abs/1709.10403
The periodic-orbit theory based on the improved stationary-phase method within the phase-space path integral approach is presented for the semiclassical description of the nuclear shell structure, concerning the main topics of the fruitful activity o
Externí odkaz:
http://arxiv.org/abs/1604.06268
Publikováno v:
Phys. Scr. 90 (2015) 114011 (8pp)
We have derived an analytical trace formula for the level density of the H\'enon-Heiles potential using the improved stationary phase method, based on extensions of Gutzwiller's semiclassical path integral approach. This trace formula has the correct
Externí odkaz:
http://arxiv.org/abs/1411.2403
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 potential and quantum spectra in a bound region, was derived by the impr
Externí odkaz:
http://arxiv.org/abs/1304.1440
Publikováno v:
Physics of Atomic Nuclei (Moscow) 74, 1445 (2011)
We first give an overview of the shell-correction method which was developed by V. M. Strutinsky as a practicable and efficient approximation to the general selfconsistent theory of finite fermion systems suggested by A. B. Migdal and collaborators.
Externí odkaz:
http://arxiv.org/abs/1012.0832
Publikováno v:
AIP Conf.Proc. 656 (2003) 98-104
Relationship between quantum shell structure and classical periodic orbits is briefly reviewed on the basis of semi-classical trace formula. Using the spheroidal cavity model, it is shown that three-dimensional periodic orbits, which are born out of
Externí odkaz:
http://arxiv.org/abs/nucl-th/0208077
Publikováno v:
Prog.Theor.Phys. 108 (2002) 853-901
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 points and in the spherical limit, the trace integrals over the action-
Externí odkaz:
http://arxiv.org/abs/nlin/0208005
Publikováno v:
Phys.Rev.E63:065201,2001
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 spherical limit, the trace integrals over the action-angle variables were
Externí odkaz:
http://arxiv.org/abs/nlin/0101035
Autor:
Magner, A. G., Fedotkin, S. N., Arita, K., Misu, T., Matsuyanagi, K., Shachner, T., Brack, M.
Publikováno v:
Prog.Theor.Phys. 102 (1999) 551-598
We derive an analytical trace formula for the level density of the two-dimensional elliptic billiard using an improved stationary phase method. The result is a continuous function of the deformation parameter (eccentricity) through all bifurcation po
Externí odkaz:
http://arxiv.org/abs/nucl-th/9906023