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Volumn 92, Issue 21, 2004, Pages

Evolution of wave-packet spread under sequential scattering of particles of unequal mass

Author keywords

[No Author keywords available]

Indexed keywords

CHARGED PARTICLES; CONVERGENCE OF NUMERICAL METHODS; ELECTROMAGNETIC WAVE INTERFERENCE; ELECTROMAGNETIC WAVE SCATTERING; FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; RESONANCE; STATISTICAL METHODS;

EID: 3142547282     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.210404     Document Type: Article
Times cited : (18)

References (34)
  • 6
    • 85032427013 scopus 로고    scopus 로고
    • note
    • In 1D, with hard cores, No. 1 can bounce only between neighbors, so correlations can survive. In 3D or ID with possible transmission, this is not a problem. In using Eqs. (3) and (8), it would be more realistic to have collections of unequal-mass particles, each with a range of spreads, and to randomly pair them for scattering. I have done this numerically. Under the iterations (3) and (8), one gets the same result as for repeated iteration of a single pair.
  • 7
    • 85032426441 scopus 로고    scopus 로고
    • note
    • Convergence of spread to the nonentangling values holds even if one takes the new spread from diag(ρ) in momentum space.
  • 9
    • 12044260119 scopus 로고
    • W. H. Zurek, Phys. Today 44, No. 10, 36 (1991).
    • (1991) Phys. Today , vol.44 , Issue.10 , pp. 36
    • Zurek, W.H.1
  • 10
    • 0003974060 scopus 로고
    • edited by M. Gutzwiller, A. Inomata, J. R. Klauder, and L. Streit (World Scientific, Singapore)
    • L. S. Schulman, in Path Integrals from meV to MeV, edited by M. Gutzwiller, A. Inomata, J. R. Klauder, and L. Streit (World Scientific, Singapore, 1986).
    • (1986) Path Integrals from meV to MeV
    • Schulman, L.S.1
  • 11
    • 85032427729 scopus 로고    scopus 로고
    • note
    • When Eq. (8) is iterated for fixed R, convergence fails along one axis.
  • 12
    • 85032426280 scopus 로고    scopus 로고
    • note
    • 2. The fact that this gives nonentanglement if used in the successive scattering iteration is not surprising, since the fixed point involves the vanishing of the entangled portion, and the only question is convergence.
  • 13
    • 85032426449 scopus 로고
    • Ph.D. thesis, Harvard University, Cambridge, Massachusetts, quoted in [14]
    • E. Feenberg, Ph.D. thesis, Harvard University, Cambridge, Massachusetts, 1933, quoted in [14], p. 71.
    • (1933) , pp. 71
    • Feenberg, E.1
  • 30
    • 85032429092 scopus 로고    scopus 로고
    • note
    • To show the absence of interference with small transverse spread, the packet's transverse momentum must also be sufficiently constrained for the packet to land on one slit but have near-zero amplitude on the other. Note also that having the transverse spread sufficiently large is a necessary condition for interference, not sufficient.
  • 31
    • 85032427192 scopus 로고    scopus 로고
    • note
    • 1. When time scales are comparable, this process can still take place, but a demonstration would require consideration of both kinds of evolution at the same time.
  • 32
    • 85032426732 scopus 로고    scopus 로고
    • note
    • For large mass ratios many scatterings are required.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.