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Volumn 68, Issue 1, 2003, Pages

Non-Hamiltonian dynamics and trajectory methods in quantum phase spaces

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; HAMILTONIANS; HYDRODYNAMICS; LAGRANGE MULTIPLIERS; MATHEMATICAL TRANSFORMATIONS; POISSON EQUATION; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS;

EID: 0141461604     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (14)

References (15)
  • 6
    • 0141578284 scopus 로고    scopus 로고
    • note
    • Trajectory methods have been proposed in the past [5] (see Ref. [7] for a review), but they are not reliable in general, being restricted to interaction potentials which do not deviate too much from an harmonic potential.
  • 9
    • 0141578285 scopus 로고    scopus 로고
    • note
    • 2]}sin((2/ℏ)q←·p←) When κ←O (pure Coulomb potential), jumps of any momentum amounts are possible. As κ increases, Π is steeper and the probability of large momentum jumps are smaller and smaller. When κ←∞, the particle is free and there is no jump possible.
  • 10
    • 85088491735 scopus 로고    scopus 로고
    • note
    • σ (∂φ/∂q)·ds=φ(y)-φ(x), for any path σ(t), t∈[a;b], located entirely within Ω, starting at σ(a)=x and ending at σ(b)=y. Equation (6) is defined from the linear path σ(t)=x+t(y-x), t∈[0;1].
  • 13
    • 0141801500 scopus 로고    scopus 로고
    • note
    • W, from which a Lagrangian picture can be defined. However, by insisting on a function that is non-negative in phase space, we no longer have a distribution that satisfies classical-like properties as the Wigner function does, which could complicate its use in practice [7].


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.