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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
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85036164755
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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)]
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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)].
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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
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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.
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