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Volumn 90, Issue 17, 2003, Pages

Nonlinear evolution of quantum states in the adiabatic regime

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; COMPUTER SIMULATION; CONDENSATION; DYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON TUNNELING; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

EID: 4644322023     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (197)

References (40)
  • 11
    • 0037552697 scopus 로고    scopus 로고
    • note
    • Although the norm of a state is conserved, the inner product of two states changes with time.
  • 19
    • 0038228055 scopus 로고    scopus 로고
    • note
    • One can often write ∂ H / ∂ψ&zast; = Hψ, with H being an operator (matrix) depending on the wave function in the nonlinear case. The simple relation, H = ψ|H|ψ, is valid only in the linear case.
  • 20
    • 18344371041 scopus 로고    scopus 로고
    • note
    • One thus often regards the mean field equation as the classical analog of the original many-body quantum problem. However, we do not address this correspondence in the present work. R. Franzosi and V. Penna, Phys. Rev. A 63, 043609 (2001).
    • (2001) Phys. Rev. A , vol.63 , pp. 043609
    • Franzosi, R.1    Penna, V.2
  • 24
    • 85088493102 scopus 로고    scopus 로고
    • note
    • -iEtψ(O). With the erasion of the overall phase, the projected state Φ(t) does not change with time is thus a fixed point. This connection may have been known to many; P. Coullett and N. Vandenberghe, J. Phys. B 35, 1593 (2002)
    • (2002) J. Phys. B , vol.35 , pp. 1593
    • Coullett, P.1    Vandenberghe, N.2
  • 29
    • 0037552695 scopus 로고    scopus 로고
    • cond-mat/0210504
    • J.R. Anglin, cond-mat/0210504.
    • Anglin, J.R.1
  • 31
    • 84983698491 scopus 로고    scopus 로고
    • J. Liu et al., Phys. Rev. A 66, 023404 (2002).
    • (2002) Phys. Rev. A , vol.66 , pp. 023404
    • Liu, J.1
  • 37
    • 85088491358 scopus 로고    scopus 로고
    • note
    • j as closely as possible. In this spirit, Eq. (7) also holds for quasicyclic motions.
  • 40
    • 0011621022 scopus 로고
    • This is different from the semiclassical relation discussed in M. V. Berry, J. Phys. A 17, 1225 (1984).
    • (1984) J. Phys. A , vol.17 , pp. 1225
    • Berry, M.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.