Periodic orbit theory including spin degrees of freedom

Abstract

We summarize recent developments of the semiclassical description of shell effects in finite fermion systems with explicit inclusion of spin degrees of freedom, in particluar in the presence of spin-orbit interactions. We present a new approach that makes use of spin coherent states and a correspondingly enlarged classical phase space. Taking suitable limits, we can recover some of the earlier approaches. Applications to some model systems are presented.

arXiv commentLaTeX2e, 10pp, 5 figs; contribution to 10th Nuclear Physics Workshop "Marie and Pierre Curie", 24 - 28 Sept. 2003, Kazimierz Dolny (Poland)

References in corpus (7)

• Semiclassical theory of spin-orbit interactions using spin coherent states
• Semiclassical trace formulae for systems with spin-orbit interactions: successes and limitations of present approaches
• Semiclassical theory of spin-orbit interaction in the extended phase space
• Semiclassical Interpretation of the Mass Asymmetry in Nuclear Fission
• On the canonically invariant calculation of Maslov indices
• Semiclassical spin coherent state method in the weak spin-orbit coupling limit
• Semiclassical analysis of the lowest-order multipole deformations of simple metal clusters

Cited by in corpus (4)

• Shell structure and orbit bifurcations in finite fermion systems
• Shells, orbit bifurcations and symmetry restorations in Fermi systems
• Semiclassical approaches to nuclear dynamics
• Semiclassical and quantum shell-structure calculations of the moment of inertia