Published 1999 | Version v1
Report Open

The 'free' quantum Brownian particle as a non-Fock linear boson system

Creators

  • 1. Russian Textile and Light Industry Correspondence Institute, Moscow (Russian Federation)
  • 2. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)

Description

Quantum Langevin equation for the 'free' Brownian particle is considered by the method of a Hamiltonian realization of the system 'a quantum particle + a quantum-mechanical heat bath'. The corresponding linear boson system possesses infrared singularities and so it is a non-Fock (namely, a degenerate Fock) system. As a consequence, physical representations of fields are constructed by means of stationary generalized states (i.e., 'states' with infinite norm)

Availability note (English)

Available from INIS in electronic form

Files

30053402.pdf

Files (265.4 kB)

Name Size Download all
md5:8d5e47a24ef120fdcb81508e8b6e4400
265.4 kB Preview Download

Additional details

Publishing Information

Imprint Pagination
14 p.
Report number
JINR-E--2-99-166

INIS

Country of Publication
Joint Institute for Nuclear Research (JINR)
Country of Input or Organization
Joint Institute for Nuclear Research (JINR)
INIS RN
30053402
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
BOSONS; BROWNIAN MOVEMENT; COMMUTATION RELATIONS; EQUATIONS OF MOTION; GAUGE INVARIANCE; INFRARED DIVERGENCES; LANGEVIN EQUATION; PHASE SPACE; QUANTIZATION
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; INVARIANCE PRINCIPLES; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; SPACE

Optional Information

Notes
9 refs.