Realization of stochastic phase-space quantization on a collective field theory

Journal Article · Sat Apr 01 04:00:00 EST 1989 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.39.3310· OSTI ID:6454601

Ktorides, C N; Papaloucas, L C

We consider the collective-field-theoretical description of a many-body quantum system (one dimensional for simplicity). We show how the stochastic phase-space quantization prescriptions can be applied to such a system. We define integration measures for the inner product and prove, constructively, that it is not necessary to employ effective quantities (e.g., effective action, Hamiltonian, etc.) in this scheme, unlike the conventional formulation of collective field theory. We offer intuitive interpretations of these results in terms of particle spreading and minimum uncertainty. A specific, simple example is explicitly worked out.

• Research Organization: Center for Theoretical Physics, Laboratory for Nuclear Science dge, Massachusetts 02139
• OSTI ID: 6454601
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 39:7; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COHERENT PRODUCTION
FIELD THEORIES
MANY-BODY PROBLEM
MATHEMATICAL SPACE
PARTICLE PRODUCTION
PHASE SPACE
QUANTIZATION
QUANTUM FIELD THEORY
SPACE
STOCHASTIC PROCESSES