Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Progress of Theoretical Physics

A Schematic Model of Large Amplitude Collective Motions with an Exact Classical Solution. II : Classical Analysis of Two-Level Pairing Hamiltonian : Nuclear Physics

Shinji Iida

Published Feb 25, 1985• 1 citation
OpenAlex

Related papers

A Schematic Model of Large Amplitude Collective Motions with an Exact Classical Solution. II : Classical Analysis of Two-Level Pairing Hamiltonian

晋司 飯田

素粒子論研究•Apr 20, 1985•0 citations

Field theory of large amplitude collective motion: A schematic model

Hugo Reinhardt

Nuclear Physics A•Nov 1, 1979•31 citations

Illustration of the semiclassical theory of large amplitude collective excitations and fission by means of a schematic model

Hugo Reinhardt, H. Schulz

Nuclear Physics A•Dec 1, 1982•10 citations

Large amplitude collective motion in nuclei and metallic clusters — Applicability of adiabatic theory for a pairing model

Takashi Nakatsukasa, Niels R. Walet

arXiv:nucl-th/9710004•Czechoslovak Journal of Physics•Jun 1, 1998•1 citation

A Schematic Model of Large Amplitude Collective Motions with an Exact Classical Solution. II: Classical Analysis of Two-Level Pairing Hamiltonian

S. Iida

It is investigated how classical pictures of the whole phase space are connected with the original quantal system by using the two-level pairing model.Discontinuous shape changes of classical trajectories are shown to be related with the sudden changes of patterns in the transition strength between energy eigenstates.By introducing the collective and intrinsic coordinates representing pairing rotations and vibrations, respectively, these discontinuities can be interpreted as the breakdown of the excited pairing •rotational band scheme.

Progress of Theoretical Physics•Feb 1, 1985•3 citations

A Schematic Model of Large Amplitude Collective Motions with an Exact Classical Solution. I: Classical Theory of Two-Level Pairing Hamiltonian

Shinji Iida, M. Yamamura

An exact solution of two-level pairing Hamiltonian is analytically given in the framework of the Hamiltonian form of classical mechanics. Following the shapes of the trajectories, whole phase space for pairing vibration can be divided into three sub-spaces. The solution, which is expressed in terms of the elliptic function, shows discontinuities at the boundaries of the three sub-spaces.

Progress of Theoretical Physics•Sep 1, 1983•2 citations
It is investigated how classical pictures of the whole phase space are connected with the original quantal system by using the two-level pairing model.Discontinuous shape changes of classical trajectories are shown to be related with the sudden changes of patterns in the transition strength between energy eigenstates.By introducing the collective and intrinsic coordinates representing pairing rotations and vibrations, respectively, these discontinuities can be interpreted as the breakdown of the excited pairing •rotational band scheme.