ADIABATIC INVARIANCE TO ALL ORDERS
Journal Article
·
· Annals of Physics (New York) (U.S.)
Adiabatic invariance theorems are eetended to all orders in the slowness paranneter. The ccncept of adiahatic invariance to all orders is formulated precisely in Section L In Section h, a classical onedimensional nonlinear oscillator is treated. It is proved that the action integral eatenmed over a period of the instantaneous time independent problem is an adiahatic invariant to all orders. Section IH is devcted to the extension of the Boan-Fock quantum mechanical adiahatic theorem to al1 orders. The systems to which the prcof applies in all rigor are those which have a finite number of nondegenerate quantum states which do not cross in the prceess of adiahatic change. The proofs are hased on a systematic construction of the asymptotic expansion in the s1owness parameter of the statistical distribution function which describes an initinlly stationary ensemble of systems. (auth)
- Research Organization:
- Princeton Univ., N.J.
- NSA Number:
- NSA-13-010176
- OSTI ID:
- 4271400
- Journal Information:
- Annals of Physics (New York) (U.S.), Journal Name: Annals of Physics (New York) (U.S.) Vol. Vol: 6; ISSN APNYA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
AN "ADIABATIC INVARIANCE THEOREM" FOR LINEAR OSCILLATORY SYSTEMS OF FINITE NUMBER DEGREES OF FREEDOM
High-order adiabatic representations of quantum systems through a perturbative construction of dynamical invariants
Asymptotic Behaviours of Adiabatic Invariants
Technical Report
·
Sun Oct 30 23:00:00 EST 1960
·
OSTI ID:4197223
High-order adiabatic representations of quantum systems through a perturbative construction of dynamical invariants
Journal Article
·
Wed Nov 14 23:00:00 EST 2007
· Physical Review. A
·
OSTI ID:21027962
Asymptotic Behaviours of Adiabatic Invariants
Journal Article
·
Sat Mar 31 23:00:00 EST 1962
· Progress of Theoretical Physics (Kyoto)
·
OSTI ID:4811769