Adiabatic invariants in stellar dynamics. 1: Basic concepts

Adiabatic Invariants in Stellar Dynamics .1. Basic Concepts

Adiabatic Invariants in Stellar Dynamics: I. Basic Concepts

The adiabatic criterion, widely used in astronomical dynamics, is based on the harmonic oscillator. It asserts that the change in action under a slowly varying perturbation is exponentially small. Recent mathematical results precisely deene the conditions for invariance show that this model does not apply in general. In particular, a slowly varying perturbation may cause signiicant evolution st...

Adiabatic Invariants in Stellar Dynamics .2. Gravitational Shocking

Notes on Adiabatic Invariants

Theory of Adiabatic Invariants

We review the basic theory on adiabatic invariants in classical and quantum mechanics. PACS numbers: 45.30.+s,05.45.-a,03.65.-w, 03.65.Sq