FUNCTIONAL-APPROACH FOR QUANTUM-SYSTEMS WITH CONTINUOUS-SPECTRUM

Authors
LAURA R CASTAGNINO M
Citation
R. Laura et M. Castagnino, FUNCTIONAL-APPROACH FOR QUANTUM-SYSTEMS WITH CONTINUOUS-SPECTRUM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(4), 1998, pp. 3948-3961
Citations number
23
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
57
Issue
4
Year of publication
1998
Pages
3948 - 3961
Database
ISI
SICI code
1063-651X(1998)57:4<3948:FFQWC>2.0.ZU;2-7
Abstract
Considering quantum states as functionals acting on observables to giv e their mean values, it is possible to deal with quantum systems with continuous spectrum, generalizing the concept of trace. Generalized ob servables and states are defined for a quantum oscillator linearly cou pled to a scalar field, and the analytic expression for time evolution is obtained. The ''final'' state (t-->infinity) is presented as a wea k limit. Finite and infinite numbers of excited modes of the field are considered.