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Volumn 57, Issue 5, 1998, Pages 4933-4942

Interaction-driven equilibrium and statistical laws in small systems: The cerium atom

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EID: 0000619762     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.4933     Document Type: Article
Times cited : (17)

References (30)
  • 13
    • 4244101285 scopus 로고    scopus 로고
    • Of course, if one needs good qualitative results for the spectrum of Ce, virtual core excitations must be taken into account. This can be done, for instance, by introducing the effective correlational electron-core potential and the screened Coulomb interaction between the valence electrons using many-body theory methods, V. A. Dzuba, V. V. Flambaum, and M. G. Kozlov, Phys. Rev. A 54, 3948 (1996).PLRAAN
    • (1996) Phys. Rev. A , vol.54 , pp. 3948
    • Dzuba, V.A.1    Flambaum, V.V.2    Kozlov, M.G.3
  • 15
    • 0001846256 scopus 로고
    • It is known that the level density in the n-particle system with k-body interaction becomes Gaussian for n≫k, see J. B. French and S. S. M. Wong, Phys. Lett. 35B, 5 (1970)
    • (1970) Phys. Lett. , vol.35B , pp. 5
    • French, J.B.1    Wong, S.S.M.2
  • 29
    • 85036164755 scopus 로고    scopus 로고
    • The eigenstates of the system are in fact linear combinations of the states [Formula Presented], which can be considered as multiparticle basis states of the system in the Fock space. The mixing of these basis states within the eigenstates occurs locally, in the energy interval determined by the spreading width [Formula Presented], which depends on the strength of the residual interaction between the particles and practically does not depend on energy. It is usually narrower than the typical interval involved in averaging over the canonical ensemble, which increases as [Formula Presented] [this estimate follows from Eq. (8)]
    • The eigenstates of the system are in fact linear combinations of the states k, which can be considered as multiparticle basis states of the system in the Fock space. The mixing of these basis states within the eigenstates occurs locally, in the energy interval determined by the spreading width Γ, which depends on the strength of the residual interaction between the particles and practically does not depend on energy. It is usually narrower than the typical interval involved in averaging over the canonical ensemble, which increases as T3/2 [this estimate follows from Eq. (8)].
  • 30
    • 85036313536 scopus 로고    scopus 로고
    • numerical calculation we always have to cut off the Hamiltonian matrix somewhere. Therefore we call the exact states here the eigenstates of the matrix in the truncated basis
    • In numerical calculation we always have to cut off the Hamiltonian matrix somewhere. Therefore we call the exact states here the eigenstates of the matrix in the truncated basis.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.