PERIODIC ORBIT THEORY INCLUDING SPIN DEGREES OF FREEDOM

Periodic Orbit Theory including Spin Degrees of Freedom *

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 ...

Bloch’s theory in periodic structures with Rashba’s spin-orbit interaction

Abstract. We consider a two-dimensional electron gas with Rashba’s spin-orbit interaction and two in-plane potentials superimposed along directions perpendicular to each other. The first of these potentials is assumed to be a general periodic potential while the second one is totally arbitrary. A general form for Bloch’s amplitude is found and an eigen-value problem for the band structure of th...

Periodic Orbit Theory

Including Nuclear Degrees of Freedom in a Lattice Hamiltonian

Motivated by many observations of anomalies in condensed matter systems, we consider a new fundamental Hamiltonian in which condensed matter and nuclear systems are described initially on the same footing. Since it may be possible that the lattice will respond to the mass change associated with a excited nuclear state, we adopt a relativistic description throughout based on a many-particle Dira...

A General Discrete Velocity Model Including Internal Degrees of Freedom

This paper deals with the problem of describing spatially inhomogeneous gases by applying model Boltzmann equations. A plane discrete velocity model is presented, capable of describing a gas of particles with internal degrees of freedom. The number of particle speeds is variable. All possible collisions, both elastic and inelastic, are calculated. The corresponding equation system for 2L+1 spee...