NONLINEAR OPERATORS AND NONLINEAR TRANSFORMATIONS STUDIED VIA THE DIFFERENTIAL FORM OF THE COMPLETENESS RELATION IN QUANTUM-MECHANICS

Authors
FAN HY YU SX
Citation
Hy. Fan et Sx. Yu, NONLINEAR OPERATORS AND NONLINEAR TRANSFORMATIONS STUDIED VIA THE DIFFERENTIAL FORM OF THE COMPLETENESS RELATION IN QUANTUM-MECHANICS, Physics letters. A, 186(1-2), 1994, pp. 74-78
Citations number
4
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
186
Issue
1-2
Year of publication
1994
Pages
74 - 78
Database
ISI
SICI code
0375-9601(1994)186:1-2<74:NOANTS>2.0.ZU;2-5
Abstract
We show that the differential form of the fundamental completeness rel ation in quantum mechanics and the technique of differentiation within an ordered product (DWOP) of operators provide a new approach for cal culating normal product expansions of some nonlinear operators and stu dy some nonlinear transformations. Their usefulness in perturbative ca lculations is pointed out.