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Volumn 117, Issue 16, 2002, Pages 7409-7425

Quantum dynamics for dissipative systems: A hydrodynamic perspective

Author keywords

[No Author keywords available]

Indexed keywords

CURRENT DENSITY; DEGREES OF FREEDOM (MECHANICS); ELECTRON ENERGY LEVELS; EQUATIONS OF MOTION; FOURIER TRANSFORMS; FRICTION; HAMILTONIANS; HIGH TEMPERATURE EFFECTS; HYDRODYNAMICS; NUMERICAL ANALYSIS; PHASE SPACE METHODS;

EID: 0037159371     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1509061     Document Type: Article
Times cited : (55)

References (85)
  • 55
    • 0011452818 scopus 로고    scopus 로고
    • note
    • Notice that the notion of a quantum-mechanical phase space has to be qualified in that such a phase space is not uniquely defined. Further, the functions accommodated by the Wigner phase space may take on negative values such that the Wigner function cannot be interpreted as a probability distribution.
  • 66
    • 0011505595 scopus 로고    scopus 로고
    • note
    • Notice that other unphysical features of the Lindblad-type models have been pointed out in the literature, notably their failure to preserve translational invariance, and the fact the asymptomatic state may differ from the thermal equilibrium state (see, e.g., Ref. 39).
  • 68
    • 0011499741 scopus 로고    scopus 로고
    • note
    • B(q).
  • 73
    • 0011407184 scopus 로고    scopus 로고
    • note
    • If the Wigner distribution is positive throughout, as is the case for a Gaussian density, one may think of a classical nonequilibrium ensemble as the analogue of the quantum distribution (in the vein of "modeling quantum fluctuations by thermal fluctuations"). Beyond this, the trajectory picture is viable if the Wigner distribution comprises negative portions, which are accounted for in terms of constant negative amplitude factors. Note further that several schemes have been suggested to extend the trajectory picture in Wigner space beyond the harmonic case, by introducing h corrections in the equations of motions for the Winger trajectories, (see Refs. 70, 71, and 85).
  • 74
    • 0011407185 scopus 로고    scopus 로고
    • note
    • Remark that, on the quantum-mechanical side, there is no analogue to the classical single-trajectory case. Conversely, the single-trajectory case may be understood as the classical limit to Bohmian mechanics, in which the hydrodynamic, or "quantum" force (that subsumes all intrinsic quantum effects) disappears (see Ref. 32).
  • 75
    • 0011409183 scopus 로고    scopus 로고
    • note
    • cl(q,p) = P (q) δ(p - p′).
  • 76
    • 0011499742 scopus 로고    scopus 로고
    • note
    • Ref. 77 details the relation between the coordinate-space and Wiger representations for the Gaussian density, which allows one to translate between the results of Ref. 27 and the present derivation.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.