QUANTUM TIME-DEPENDENT PERTURBATION-THEORY FOR THE CONSTRUCTION OF OPERATOR INVARIANTS

Authors
LEWIS HR LAWRENCE WE
Citation
Hr. Lewis et We. Lawrence, QUANTUM TIME-DEPENDENT PERTURBATION-THEORY FOR THE CONSTRUCTION OF OPERATOR INVARIANTS, Physical review. A, 55(4), 1997, pp. 2615-2616
Citations number
6
Categorie Soggetti
Physics
Journal title
Physical review. A → ACNP
ISSN journal
10502947
Volume
55
Issue
4
Year of publication
1997
Pages
2615 - 2616
Database
ISI
SICI code
1050-2947(1997)55:4<2615:QTPFTC>2.0.ZU;2-F
Abstract
A time-dependent perturbation theory is presented for constructing ope rator invariants iteratively when a Hamiltonian consists of a time-ind ependent zeroth-order term plus a time-dependent perturbation. The pro cedure uses a single canonical transformation that involves an invaria nt operator that is canonically conjugate to the zeroth-order Hamilton ian. Such an invariant operator has recently been constructed for the case in which the zeroth-order Hamiltonian describes a harmonic oscill ator.